In this capital case, the Warden of the Georgia Diagnostic and Classification Prison, Hilton Hall (“Hall”), appeals from the district court’s order granting in part Lawrence Joseph Jefferson’s (“Jefferson”) petition for a writ of habeas corpus, filed pursuant to 28 U.S.C. § 2254. The district court granted relief on Jefferson’s claim that his trial counsel were constitu*1287tionally ineffective during the penalty-phase of the trial, holding that the Petitioner’s trial counsel performed deficiently when they failed to conduct a reasonable investigation of mitigating evidence and failed to present in particular certain mental health evidence. Petitioner Jefferson, in turn, has cross-appealed from the district court’s denial of Jefferson’s claim that he was denied a fundamentally fair trial and reliable sentencing proceeding because jurors impermissibly considered extra-judicial evidence—the Bible—during their deliberations, in violation of the Constitution.
After thorough review we affirm in part and reverse in part. Applying the law to the record before us, we hold that Jefferson’s counsel were not constitutionally ineffective in preparing for the penalty phase of his trial. In addition, we can discern no merit in Jefferson’s claim on cross-appeal, and agree with the district court that Jefferson was not denied a fundamentally fair trial when one juror allegedly read from a Bible in the jury room during deliberations. Accordingly, we reverse the district court’s order granting relief, and remand with instructions to reinstate Jefferson’s original sentence.
I. Facts and Procedural History
A. The Guilt Phase of Jefferson’s Trial
The facts of the murder, as elicited from the trial testimony and not disputed here, are these. On May 2, 1985, the body of the victim, Edward Taulbee, was spotted lying in the woods near Lake Allatoona by two men driving along the highway. Ex. 20 at 217-18, 227-28. Responding to the report, the Cobb County Police found Taulbee’s body face down in the underbrush. Ex. 20 at 235-36. Taulbee was dressed in a yellow shirt, overalls, and boots. Ex. 20 at 219, 229, 235. A large log with blood on it was lying across Taulbee’s head. Ex. 20 at 220, 229, 236. Near the body, the police found two sticks or clubs, and one of the sticks, which later was determined to have some of Taulbee’s blood and hair on it, appeared to have been shattered in several places. Ex. 21 at 270-71; Ex. 23 at 802. The police observed that Taulbee’s head had been driven into the ground, apparently by the force of the log. Ex. 21 at 274-75.
An autopsy revealed that Taulbee suffered approximately two lacerations above his left eyebrow, one laceration above his forehead, one laceration above his right ear, and five lacerations on the back of his scalp. Ex. 23 at 822. Taulbee also had several fractured teeth, an abrasion across his face, an abrasion across his back, skull fractures, brain bruises, and brain hemorrhaging. Ex. 23 at 822-24. The medical examiner opined that Taulbee’s injuries were consistent with those caused by being struck with the wooden sticks or clubs found near his body, that Taulbee was probably knocked to the ground by the blows to his head, and that the log was then dropped on Taulbee’s head, driving his face into the ground. Ex. 23 at 822, 828-29, 831-32. The medical examiner further opined that these head and brain injuries caused Taulbee’s death, which occurred some time on May 1, 1985, between 5:00 p.m. and 11:00 p.m. Ex. 23 at 833-35. On cross-examination, the medical examiner said that Taulbee probably did not struggle significantly, and that death “most probably” was instantaneous. Ex. 23 at 837-39.
The medical examiner did not find a wallet on Taulbee’s body, but the victim did have a still-ticking Timex watch, a pocket knife, and a small amount of cash on him. Ex. 21 at 277; Ex. 23 at 820-21, 840. Also found in Taulbee’s belongings was a pay stub from Zenith Construction Company (“Zenith”). Ex. 21 at 357-58. Upon finding the pay stub, Cobb County *1288Police Lt. Carlton Morris telephoned the company and ascertained that the pay stub number corresponded to Taulbee. Ex. 21 at 358. Brad Stewart, Zenith’s construction superintendent, informed Lt. Morris that the Petitioner, Jefferson, worked with Taulbee, and upon Lt. Morris’s request, Stewart and Jefferson came to the station and identified Taulbee from pictures of the body. Ex. 21 at 329, 358, 374-75.
During Lt. Morris’s interview with Jefferson, Jefferson said that he had seen Taulbee leave the Zenith site alone around 5:30 p.m. on the day of the murder and head north in his automobile to go fishing. Ex. 21 at 376-78. Jefferson explained that he knew Taulbee was going fishing because earlier that day, Taulbee had dug up some worms to use as bait. Ex. 21 at 376. Jefferson also offered that he did not join Taulbee that afternoon because “he didn’t have the patience to fish.” Ex. 21 at 377-78. Jefferson said that after Taulbee left work, Jefferson rode his bicycle home, where he lived alone, watched television, drank beer, and stayed in that evening. Ex. 21 at 378-79.
Jefferson also told the police that Taulbee had loaned him $120 that was due on May 2, 1985, the day after the murder. Ex. 21 at 380. Jefferson said that he had not yet paid Taulbee because he did not receive his paycheck on May 1 from Stewart, as he had expected. Ex. 21 at 380. Stewart independently informed Lt. Morris that he had given both Taulbee and Jefferson their paychecks on the day of the murder. Stewart also said that Taulbee and Jefferson had never had any money problems, and got along well with each other. Ex. 21 at 322, 325-26, 383.
As Jefferson’s interview progressed, Jefferson became more nervous. Ex. 21 at 381. Nevertheless, Jefferson consented to a search of his apartment. Ex. 21 at 381. Jefferson cooperated with the police, opening drawers and closet doors while the police searched the apartment. Ex. 21 at 388. Lt. Morris did not find anything connecting Jefferson to the murder of Taulbee. Ex. 21 at 312, 388-90. The police did find, however, a straw hat and sunglasses in Jefferson’s closet. Ex. 22 at 654.
During the investigation, the police learned that Taulbee kept money with him so that he could lend it to co-workers and others, and charge interest. Ex. 21 at 383. Stewart also informed the police that Taulbee carried large sums of money on his person, and that Stewart had told him to keep it in a more secure location. Ex. 21 at 323.
On May 7, 1985, while the investigation was still underway, the police spoke with Jefferson’s neighbors, Rhonda Glade, her brother Ronald Glade, and Dwayne Mitchell. Ex. 21 at 390. At trial, Ms. Glade testified that she saw Jefferson, Taulbee, and Mitchell talking outside of Jefferson’s apartment at approximately 4:15 p.m. on the day of Taulbee’s murder. Ex. 21 at 400. She testified that she had seen Jefferson and Taulbee leave from Jefferson’s apartment to go fishing, and later on the night of the killing, she saw Jefferson return to his apartment on foot and heard no car arrive. Ex. 21 at 399-400, 408. Ms. Glade further testified that Jefferson came to her apartment on May 2, 1985, gave her an automated teller bank card (an “ATM card”) and asked her to get rid of it. Ex. 21 at 412, 414-15. She said that she then hid it in an air conditioning vent. Ex. 21 at 417. Jefferson also gave her a fishing tackle box, which she put under her brother’s bed. Ex. 21 at 412.
On cross-examination, Ms. Glade admitted she had originally told the police she heard a car arrive and two doors slam when Jefferson returned home on May 1. Ex. 21 at 427. She also admitted that she had told the police that she was “sure” her *1289brother and Mitchell had not gone to the lake that night because they spent the evening of May 1, 1985 with her, even though at trial, she testified that both her brother and Mitchell had left the apartment during the course of the evening. Ex. 21 at 434-36.
Ronald Glade testified that on May 1, 1985, he had gone to Jefferson’s apartment at around 6:00 p.m. Ex. 21 at 453. He said that Jefferson had locked the door to his apartment, although Jefferson was inside, which Glade thought was unusual. Ex. 21 at 453-54. Glade further testified that Jefferson was acting funny and that his chest looked red. Ex. 21 at 456-59. He testified that Jefferson had, prior to Taulbee’s murder, made a statement about the money Taulbee had and how Jefferson “ought to knock him on the head,” and that, after the murder, Jefferson had said that his “little fat buddy was dead.” Ex. 21 at 463.1 Glade further testified that on the evening of May 1, 1985, Jefferson said he had lost his wallet and went out with Dwayne Mitchell to look for it, although Glade later found the wallet in Jefferson’s apartment with approximately $100 in it. Ex. 21 at 465, 467.
Dwayne Mitchell testified that he took Jefferson to buy marijuana and liquor on the night of May 1, 1985. Ex. 21 at 499-500. He further testified that Jefferson asked him to drive Jefferson to Lake Allatoona that night, purportedly to find his wallet, which Jefferson claimed was missing. Ex. 21 at 501. Mitchell said that when they arrived at Lake Allatoona, Jefferson left the car for five to ten minutes and returned with a fishing pole and a tackle box. Ex. 21 at 502, 505. According to Mitchell, Jefferson discarded the fishing pole and gave the tackle box to him. Ex. 21 at 505-06. Mitchell further testified that, on the way back from the lake, Jefferson asked Mitchell to take him to a bank with an ATM, where Jefferson disguised himself with a straw hat and sunglasses and attempted unsuccessfully to make a cash withdrawal. Ex. 21 at 506-07. Prior to going to the ATM, Jefferson asked Mitchell if the machine took pictures of those people who used it. Ex. 21 at 507.2
Following the initial conversations with Jefferson’s neighbors, the police located Taulbee’s car in the parking lot of a food store about eight-tenths of a mile from Jefferson’s residence. Ex. 22 at 586, 589. Inside the car, the authorities found the keys to the car, and in the glove compartment, they found an ATM receipt, dated May 2, 1985, at approximately 1:07 a.m. Ex. 22 at 591, 634. Back at Jefferson’s apartment complex, the police recovered the victim Taulbee’s ATM card that Rhonda Glade had stashed in the air conditioning unit outside her apartment. Ex. 22 at 594, 598-99. The police also recovered some of Taulbee’s other fishing gear that Jefferson had attempted to discard. Ex. 22 at 656, 663. Specifically, Mitchell directed the police to Taulbee’s fishing tackle box, which Jefferson had given him, and Glade and Mitchell went with the police to Lake Allatoona so that they could point *1290out where Jefferson had thrown some of the fishing gear into the woods and along the side of the road. Ex. 22 at 656, 663.
The authorities analyzed the evidence, but did not find any latent prints, other than Taulbee’s, either on the car, the receipt, the ATM card or the fishing gear. Ex. 22 at 644, 646; Ex. 23 at 796, 789-95. Nor did they find any of Jefferson’s hair on any of the evidence. Ex. 23 at 805.
Jefferson was arrested on the evening of May 7, 1985. Ex. 22 at 665. A smoking marijuana cigarette was found on the coffee table in Jefferson’s living room at the time of his arrest. Ex. 22 at 665. After administering multiple Miranda warnings, the police asked Jefferson why he had killed Taulbee. Ex. 22 at 667-78. According to the testimony of Detective B.J. Banks, Jefferson said that “he didn’t need to be around other people, that he wanted to be executed, and that he wanted to be put to sleep.” Ex. 22 at 678. Lt. Morris likewise testified that Jefferson said:
I don’t need to be around people.... I talk to myself. I ain’t crazy. I don’t know nothing. I got hit by an auto when I was a kid. I had another dream and saw the man in my dream. I call myself Tony. I don’t think I am two people. How quick can I be put to sleep? I don’t feel anything about this. Do you believe in heaven and hell? ... I want to be put to sleep.... I want to be executed.
Ex. 22 at 699-700. During the penalty phase of the trial, Jefferson testified that he was threatened with the death penalty during the interrogation. Ex. 25 at 1306. Jefferson said that he had replied: “Well, yeah, man, do what up [sic] want to do, if you want to execute me. Let me go over to the jail and go to sleep.” Ex. 25 at 1307.
The authorities later determined that Taulbee had cashed his paycheck on May 1, and had received $223.15. Ex. 22 at 717-18. Jefferson, who received his paycheck on May 1, did not cash it until May 3, and received approximately $136.21. Ex. 22 at 686. The police also learned that in the early morning hours of May 2, 1985, someone attempted to use Taulbee’s ATM card to make a withdrawal. Ex. 22 at 728-34.
On August 8, 1985, Jefferson was indicted in the Superior Court of Cobb County, Georgia. Jefferson was tried before a jury on February 24 through March 9, 1986. Following deliberations, he was found guilty of felony murder in the commission of an armed robbery, in violation of Ga. Code Ann. § 16-5-1, and of armed robbery, in violation of Ga.Code Ann. § 16-8-41. Ex. 2 at 327.
B. The Penalty Phase of Jefferson’s Trial
The penalty phase of Jefferson’s trial began with the State’s introduction of Jefferson’s past offenses. Specifically, the State offered Jefferson’s guilty plea from Kentucky to one count of robbery, resulting from Jefferson’s armed robbery of a Louisville, Kentucky gas station in 1979, when he had threatened a gas station attendant with a gun. Ex. 25 at 1231. The State also presented the testimony of two Kentucky police officers and two victims from Kentucky, which indicated that Jefferson had been one of four men who had participated in three other armed robberies of gas stations on that same day in 1979, although Jefferson was not prosecuted for these other armed robberies. Ex. 25 at 1185-1231.
In mitigation, Jefferson presented the testimony of two Cobb County deputies, his mother, one of his sisters, the mother of his two children, and his own testimony. Ex. 25 at 1253, 1258, 1262, 1267, 1273, 1289. The employees of the Cobb County Sheriffs Department generally testified *1291that Jefferson had caused no problems since his incarceration. Ex. 25 at 1253-60.
Jefferson’s mother, Vera Jefferson, testified about his difficult childhood, which included growing up without a father and taking care of his siblings. Ex. 25 at 1263-65. She testified that Jefferson was responsible, generous, gentle, and kind, loved people and was very playful as a child. Ex. 25 at 1263-66. She mentioned to the jury that Jefferson was injured at the age of two when a car ran over the top of his head, but she was not questioned and did not offer any testimony regarding the impact, if any, that the accident had on him. Ex. 25 at 1264. Jefferson’s mother asked the jury to have mercy on her son. Ex. 25 at 1266-67.
Jefferson’s sister, Rita Jefferson, also testified about Jefferson’s generosity and sense of responsibility. Ex. 25 at 1269-70. She explained to the jury that Jefferson would get her and her sisters ready for school, take them to school, bring them home from school, prepare them for bed, and take them to church. Ex. 25 at 1270-71. She added that he helped her with her sons. Ex. 25 at 1269. She testified about Jefferson being in the Navy and later attending vocational/technical school. Ex. 25 at 1269-70. Linda Dale, the mother of Jefferson’s two children, testified that Jefferson was a good father, who was responsible and liked to work. Ex. 25 at 1275, 1278-79. She also said that he continued to have a relationship with his children, even though he was in jail, and that she loved him. Ex. 25 at 1281.
Jefferson then testified. He discussed his difficult upbringing without a father, how he helped his mother raise his siblings, and his decision to leave high school to help make money for his family. Ex. 25 at 1290-92. He testified that he loved his children and never abandoned them, and contrary to the State’s insinuations, he explained that he paid child support directly to his children’s mother, though not to the court. Ex. 25 at 1294-95, 1320-22, 1333. He also explained that he had moved , to Georgia to find work, and would send money to his family. Ex. 25 at 1296-97.
Jefferson then responded to the list of past crimes the State had introduced against him—including his armed robbery conviction, as well as his arrests for disorderly conduct, marijuana possession, attempted burglary of a house, theft by taking, harassment, and burglary of a service station—attempting to explain them away. Ex. 25 at 1297-1300, 1305, 1312-20, 1322-33. As for the armed robbery conviction, he said that he had been joyriding with his friends, and had not participated in any of the four robberies that supposedly happened that day, and had gotten in the car with them just before the police pulled it over. Ex. 25 at 1297-98, 1322-33. He explained that he had nonetheless pled guilty to the one armed robbery count because he was concerned that he would be charged for the other robberies and could not afford an attorney to fight the charge. Ex. 25 at 1299. As for the other arrests, Jefferson generally claimed that he had not committed most of the crimes, but he had been in the wrong place at the wrong time. Ex. 25 at 1312-19.
Jefferson also detailed his schooling and job experiences, saying that he had received his GED while in prison, and had gone on to become certified in masonry, welding, and auto body work. Ex. 25 at 1300-01. He admitted that he had been expelled from junior high school for hiding in the gym while the girls were in there and other “goofy stuff.” Ex. 25 at 1312. He further explained that he was dishonorably discharged from the Navy after three and a half years because he returned late from leave when his mother was sick. Ex. 25 at 1301-03, 1307-10. Finally, Jefferson *1292denied telling the police that he wanted to be executed. Ex. 25 at 1306-07.
Following this testimony and deliberations, the jury returned a verdict finding the existence of two aggravating circumstances—(1) the offense of murder was committed while the defendant was engaged in another capital felony (i.e., armed robbery); and (2) the offense of murder was “outrageously or wantonly vile, horrible, or inhuman in that it involved an aggravated battery to the victim”3—and recommended that he be sentenced to die. Ex. 26 at 1435; Ex. 2 at 328. On March 9, 1986, Jefferson was sentenced to death by the state trial court. Ex. 26 at 1447-48; Ex. 2 at 332-34.
C. The Conduct of Jefferson’s Trial Counsel
Because the performance of Jefferson’s counsel during the penalty phase of his trial is the primary focus of this appeal, we turn to the facts presented at the state collateral hearing concerning Jefferson’s representation by his attorneys Stephen Schuster and Mark Celia. Schuster began his career as an assistant solicitor in Cobb County, and after two years, became an assistant district attorney in Cobb County, prosecuting all varieties of felony cases including burglaries, rapes, sex crimes and seven murder cases, and assisting in some death penalty cases. Ex. 39 at 158-60. Two years later, in 1980, Schuster entered into private practice, continuing to practice criminal law, working on about ten or eleven active felony cases a year, including murder cases, trying five or six a year, and assisting his partner in one death penalty case. Ex. 39 at 159-61. Petitioner’s case was Schuster’s first death penalty case as lead counsel. Ex. 39 at 161. Celia likewise started as an assistant solicitor in Cobb County, participating in approximately fifty jury trials, which included driving under the influence, misdemeanor shoplifting, child abandonment and simple battery cases. Ex. 39 at 35-36. After about three years there, in 1984, Celia entered private practice as a criminal defense attorney. Ex. 39 at 35, 60.
Schuster was appointed as lead counsel to represent Jefferson in May 1985, and Celia was appointed to assist him in July 1985. Trial Record at 8-10. Schuster and Celia “made a decision early on to do as much investigation as [they] could [themselves.” Ex. 39 at 166. In the process, they met with Jefferson “fairly frequently,” independently of each other. Ex. 39 at 162. Jefferson maintained to both Celia and Schuster that he and Taulbee had a long relationship and were friends, they fished together, the victim loaned him money, and he had gone fishing with Taulbee at Lake Allatoona on the day of the murder but that he was innocent, although his story changed a bit. Ex. 39 at 164. Jefferson first told Celia that he had seen two white people attack Taulbee, then he said he had seen two black people attack him. Ex. 39 at 72. He first told Schuster that he had hidden while Taulbee was attacked and came back later; then he said that he had assisted Taulbee while he was down, but later went back home. Ex. 39 at 164. According to Schuster, “[t]here were some changes in it but that was the basic theme of what happened, that two people had approached Ed and attacked him.” Ex. 39 at 164. Regardless of the version of the story Jefferson told, he “adamantly” and consistently maintained to his counsel that he did not kill Taulbee. Ex. 39 at 72,162-63.
Jefferson’s counsel conducted an extensive investigation into his claims of inno*1293cence. Ex. 39 at 162-63. They visited the crime lab, the medical examiner’s office, and Jefferson’s apartment complex, and interviewed the detectives on the case, Stewart, the Glades, and the employer for Glade and Mitchell. Ex. 39 at 62-64, 166-70. They sought information from the trust company regarding Taulbee’s bank account and how the ATM worked. Ex. 39 at 169. They went to the campground to find witnesses, and spoke to the beat officer on duty the night of the crime and to the people who ran the campground. Ex. 39 at 177-78. Although they failed to uncover any helpful information at the crime scene, they recognized that the area was highly transient. Ex. 39 at 177-78. Ultimately, they learned that there was no physical or scientific evidence against Jefferson. Ex. 39 at 64.
Based on their investigation and Jefferson’s adamant assertion that “he did not do it,” Jefferson’s counsel decided to argue at trial that the State could not prove beyond a reasonable doubt that he had murdered Taulbee. Ex. 39 at 62-63, 81, 171, 182. Schuster believed that “we had a good shot at winning [since] ... there were a number of ambiguities.... ” Ex. 39 at 171. Schuster further thought they could show that Taulbee was “worth more to Lawrence [Jefferson] alive than dead,” since Taulbee lent Jefferson money, drove him around, and helped him on the job. Ex. 39 at 171. According to Schuster, “Lawrence [Jefferson] did not do it and that was the strategy all the way through. It wasn’t one he wavered from.” Ex. 39 at 182.
While investigating Jefferson’s claim of innocence, his counsel also sought information about his life history. They asked him to write down a biography, in which he listed his family members and discussed his upbringing, discharge from the Navy, schooling, and jobs. Ex. 26 at Def.’s Ex. 16; Ex. 39 at 207. Jefferson did not mention a head injury in the biography. Ex. 26 at Def.’s Ex. 16. At some point during their investigation, however, Jefferson’s counsel learned that he had suffered a head injury at the age of two. Ex. 39 at 43-44.
To flesh out his life history, Jefferson’s counsel obtained court funds to travel to his hometown of Louisville, Kentucky. Ex. 39 at 82-83, 169, 178; Ex. 40 at 457. They asked Jefferson for possible witnesses who could provide mitigating evidence, and then met with Jefferson’s mother and the family members she had gathered, securing a history from each of them. Ex. 39 at 83-85, 178-79,181. They were able to meet with most of the people Jefferson recommended. Ex. 39 at 84-85, 201-02. While in Kentucky, Jefferson’s counsel also visited the gas station where he allegedly had committed a prior robbery, the courthouse for his prior records, and his probation officer. Ex. 39 at 178, 181,199-200.
Jefferson’s counsel additionally moved for the appointment of a mental health specialist to evaluate Jefferson. Ex. 39 at 66, 173.4 Schuster explained that “[w]e *1294didn’t want to use the State Psychologist, Georgia Forensic Psychologist, and we needed somebody who could testify for us at the sentencing phase if need be.” Ex. 39 at 172. After winning this motion, Schuster and Celia conferred with other attorneys who had extensive experience with death penalty litigation, including George Kendall of the American Civil Liberties Union (“ACLU”), the Southern Poverty Law Center in Alabama, Bruce Harvey, and Jimmy Berry. Ex. 39 at 165-66. In November 1985, Celia received three names from the ACLU of suggested psychologists, one of whom was Dr. Gary E. Dudley. Ex. 39 at 67, 173. Dr. Dudley had received his Ph.D. in Clinical Psychology from the University of Miami in 1975, and, among other things, had been the Chief Clinical Psychologist in the Dade County Corrections and Rehabilitation Department, a consultant/instructor in Criminal Justice at Nova University, and a member of the American Association of Correctional Psychologists. Ex. 37 at 268-69.
Celia selected and contacted Dr. Dudley to conduct a mental examination of Jefferson. Ex. 39 at 66. Dr. Dudley met with Jefferson four times during December 1985. Ex. 37 at 224. Following his examinations, Dr. Dudley submitted a written report to Jefferson’s counsel stating that Jefferson’s test results were consistent with attention-deficit disorder, and that the “magnitude of his deficiencies is quite mild, and in no way impair[s] his judgment or decision-making capacity.” Ex. 37 at 225. Dr. Dudley further opined;
[T]his is an individual of average intelligence, apparently from a family environment that was involved in some violence (father reportedly killed in an argument) and whose adulthood has included participation in a robbery at gunpoint. His psychologic status at the time of my evaluation is non-psychotic, but he does present with very immature ego functions and tenuous ego integration. His major personality deficits seem centered around identity issues and the failure to achieve a coherent sense of self. This, in conjunction with great immaturity of ego functions generally, renders him prone to various forms of acting out, with very little mitigating personality structures and dynamics. There is no evidence in the test record to suggest that he has experienced a previous level of psychotic impairment. One possibility that could not be explored because of his incarceration has to do with the sequelae to head injury experienced during childhood. ' In my opinion, it would be worthwhile to conduct neuropsychological evaluation of this individual to rule out an organic etiology. Because he denies the alleged crime, exploration of explosive personality disorder is not *1295pursued. However, he denies a history involving significant amounts of violence.
Ex. 37 at 225-26.
Celia and Schuster spoke with Dr. Dudley about his findings, and “whether he would help or hurt us on the stand and whether we should call him to help our case.” Ex. 39 at 77, 173-74. Celia determined that “Dr. Dudley’s report concluded and he suggested that he would hurt us more than help us if we did call him,” and additionally, that Dr. Dudley did not have “anything to say that would help our defense ... [bjecause of his conclusion that Lawrence’s mental deficiencies did not prevent him from understanding right from wrong, did not impair his judgment or his decision-making capabilities, and that he was non psychotic.” Ex. 39 at 73, 78. Celia further believed that a neuropsychological evaluation was unnecessary because they were “proceeding on the defense that Lawrence gave us, which was that he was an eyewitness to this incident.” Ex. 39 at 78-79.
Counsel Schuster reached essentially the same conclusions about Dr. Dudley’s assistance. Dr. Dudley “basically” told him that “[tjhere is nothing I could testify to that would help you, if you get to the sentencing phase in Lawrence’s case.” Ex. 39 at 174. Dr. Dudley said that he had worked in prison psychology in Florida and that “Lawrence was just a criminal.” Ex. 39 at 174-75. Schuster specifically asked Dr. Dudley about his recommendation for neuropsychological testing, and Dr. Dudley “basically said it may be a waste of time because the rest of the report ... said that he was non psychotic, that he was intelligent, he had a fairly high I.Q., and ... ‘[bjecause he denies the alleged crime.’ ” Ex. 39 at 175-76. According to Schuster, “Dr. Dudley didn’t pursue it and we saw no reason to further pursue it.” Ex. 39 at 176.
In the course of the state court habeas proceedings, Dr. Dudley submitted affidavits that contradicted Schuster’s and Celia’s recollections of their interactions with him. Specifically, Dr. Dudley denied suggesting to Jefferson’s counsel that a neuropsychological evaluation would not be necessary or that it would not be worthwhile. Ex. 40 at 440. Dr. Dudley claimed that he understood that the testing was not requested because funds were not available for it. Ex. 40 at 441. Dr. Dudley also denied telling Schuster that Jefferson was “just a criminal,” and that he could not help them at trial. Ex. 40 at 440.
In any event, both Schuster and Celia testified at the state habeas hearing that they did not pursue further testing based on Dr. Dudley’s report and their conversations with him, Ex. 39 at 78-79, 174-76, as well as on their interactions with Jefferson. Celia noted that he never had any problems communicating with Jefferson, Jefferson had a good vocabulary, understood his questions, and even paid child support. Ex. 39 at 79-80. Indeed, Celia said that he “never saw any evidence that Lawrence was brain damaged” and saw no reason to pursue a mental health defense further. Ex. 39 at 80. Celia said that he “didn’t think [Dr. Dudley] had anything to say that would help our defense.” Ex. 39 at 78. Celia also believed that, even assuming a brain damage defense existed, it would have been inconsistent with Jefferson’s claim that he did not commit the crime. Ex. 39 at 79.
Schuster likewise testified that Jefferson never showed any evidence of brain injury: he had a good record in the Navy during his three and a half years of service; had a “pretty good work history that we used,” which included Jefferson’s job at a scale company where he was certified in making sure the scales were fixed and weighed *1296properly; was “always very calm and always extremely helpful”; put together a biography for them that “pretty much listed everything”; kept good notes; helped coordinate interviews with his family and co-workers; gave them information about Mitchell and the Glades; and “was very workable within the sense that he helped us in any way he could to prepare the defense.” Ex. 39 at 176-77, 179-80. Schuster continued:
We had no indication, through our dealings with him, that there were any problems with explosive personality or anything like that____ I mean, there was nothing in our day-to-day relationship with Lawrence that would lead us to go further with [the mental health investigation], We didn’t have any problem. He kept good notes and helped us out. If there was something, I must have missed it.
Ex. 39 at 177.
In light of their investigation into the murder and Jefferson’s life history, Jefferson’s counsel decided to approach the penalty phase of the trial by minimizing Jefferson’s past offenses and emphasizing his good qualities, including the relationships he had with his family. Ex. 39 at 96-97. And in addition to offering Jefferson’s character as a mitigating factor at the penalty phase, they also presented a residual doubt defense. As Celia described it, Jefferson’s counsel sought, “in an indirect way, to point out to the jury that they were taking the word of three fairly unreliable witnesses and coming to the conclusion that he was guilty in the first place.’’ Ex. 39 at 97. In doing so, Jefferson’s counsel emphasized during the closing argument of the penalty phase that there were no eye witnesses to the crime, no guilty plea, and “no evidence of any consciousness of guilt.” Ex. 25 at 1380.
D. Jury Deliberations During the Penalty Phase of Jefferson’s Trial
We pause briefly to describe an incident that allegedly occurred during the jury’s deliberations over Jefferson’s sentence, because it is relevant to Jefferson’s cross-appeal. Relying on deposition testimony taken from a juror fifteen years after the trial, Jefferson claims that during the deliberations, when the jurors were each offering their opinions on an appropriate sentence for Jefferson, an older, female juror selected and read a passage from the Bible. Berry Dep. at 7-9. The juror who testified to this incident, Richard Berry, could not recall the name of the female juror in question and was not familiar with the passage she read, but believed that it was approximately a paragraph in length. Berry Dep. at 9-10, 11, 13, 18-19, 21. Although the juror read the passage out loud, the jurors did not discuss the passage, and it had no impact on Berry’s sentencing decision. Berry Dep. at 20-21. Berry was unclear whether the juror made any comments about the passage when she read it, but it appeared to Berry that she was looking for divine guidance and justification for her position on Jefferson’s sentence. Berry Dep. at 10,19-20.
One of Jefferson’s habeas attorneys testified that he and another attorney interviewed at least five of the jurors from Jefferson’s trial. Ertel Dep. at 24. None of the jurors besides Berry recalled the incident concerning the Bible. Ertel Dep. at 24-25. Jefferson’s counsel were unable to locate the juror who, Berry said, had read from the Bible. Ertel Dep. at 24.
E. Posh-Trial Procedural History
Following his trial, Jefferson filed a motion for a new trial, which was denied on June 20, 1986. Ex. 2 at 351, 357-62. The Supreme Court of Georgia then affirmed *1297his conviction and sentence of death and denied rehearing. Jefferson v. State, 256 Ga. 821, 828, 358 S.E.2d 468 (1987). The United States Supreme Court denied certiorari review on October 5,1987, Jefferson v. Georgia, 484 U.S. 872, 108 S.Ct. 203, 98 L.Ed.2d 154 (1987), and denied a petition for rehearing on November 30, 1987, Jefferson v. Georgia, 484 U.S. 971, 108 S.Ct. 471, 98 L.Ed.2d 410 (1987).
On December 23, 1987, Jefferson sought state post-conviction relief in the Superior Court of Butts County, Georgia challenging his convictions and sentence. Jefferson alleged, among other things, that his counsel were ineffective because they had failed to conduct an adequate pretrial investigation into the Petitioner’s life and mental health to present to the jury evidence in mitigation at sentencing. Ex. 38 at 450. After a two-day evidentiary hearing, the state court rejected Jefferson’s claim of ineffectiveness of counsel, making numerous factual findings regarding the investigation conducted by Jefferson’s counsel into his mental health. First, the state court found that Jefferson’s counsel conferred with Dr. Dudley about his report and “specifically discussed with Dr. Dudley” the suggestion in the report that a neuropsychological evaluation be conducted “to rule out an organic etiology,” and that during this conversation, “Dr. Dudley led Mr. Schuster to believe that further investigation would simply be a waste of time because Petitioner was not psychotic, was intelligent and had a fairly high I.Q.” State Habeas Corpus Order of October 7, 1992 (“State Habeas Order”) at 16-17. “Based upon this report and the follow-up conversation, counsel saw no need to have further neuropsychological testing done, particularly given Petitioner’s ‘adamant’ assertion that he did not commit the crimes, not that Petitioner had committed the crimes but had been unable to control himself.” State Habeas Order at'16.
The state court further found that Jefferson’s counsel saw no other basis for pursuing a mental- health defense. Celia knew that Jefferson claimed he had suffered a head injury in the past, but had no communication problems with Jefferson and saw no evidence to indicate any potential brain damage. State Habeas Order at 17-18. Schuster also saw no evidence from his conferences with his client that would have warranted further exploration of potential mental defenses. State Habeas Order at 18.
Second, the state court found that Jefferson’s counsel did not call Dr. Dudley as a defense witness because “they determined Dr. Dudley had nothing helpful in mitigation.” State Habeas Order at 16-17. Indeed, Dr. Dudley concluded that Jefferson’s mental deficiencies did not prevent him from understanding what was right from wrong nor impair his judgment or his decision-making capabilities, and that Jefferson was not psychotic. State Habeas Order at 17. According to the state trial judge, Dr. Dudley further indicated that he had “experience as a psychologist in a Florida prison,” and had described Jefferson to Schuster as “ ‘just a criminal’ and indicated that he had no helpful testimony.” State Habeas Order at 17. For these reasons, Schuster “elected not to call Dr. Dudley in mitigation as counsel saw no sense in presenting a witness who would not be helpful to Petitioner.” State Habeas Order at 17. Moreover, “ [particularly since counsel were relying upon Petitioner’s version of events that he did not commit the crimes but was an eyewitness to the incident, a defense regarding brain damage would have been inconsistent with Petitioner’s version of events that he was innocent.” State Habeas Order at 17.
The state habeas court thus concluded that Jefferson’s counsel “made a strategic decision, based upon their investigation, *1298not to present any type of mental defense or pursue additional neuropsychological testing as counsel had investigated this line of inquiry but found nothing helpful to the defense, either as to the crimes themselves or for mitigation.” State Habeas Order at 18, 36. In making these findings of fact, the state court “specifically credited] the testimony of Mr. Schuster and Mr. Celia with regard to their efforts to investigate Petitioner’s mental condition, both as to potential defenses to the crimes themselves as well as mitigating evidence, and their decision not to call Dr. Dudley as a witness in mitigation.” State Habeas Order at 18, 36.
Applying Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984), the state habeas corpus court then held:
This Court has found counsel made a reasonable investigation into the mental health area, obtained an independent report which was not favorable to the defense, followed up on the suggestion of further neurological testing but then were led to believe it would not be worthwhile, had no other evidence indicating further examination was warranted and simply concluded that this line of investigation was no longer plausible. Petitioner has shown no attorney error in this regard. See Francis v. Dugger, 908 F.2d 696 (11th Cir.1990). As Burger v. Kemp, 483 U.S. 776, 107 S.Ct. 3114, 97 L.Ed.2d 638 (1987), makes clear, an attorney only has a constitutional duty to conduct a reasonable investigation for mitigating evidence. Here, counsel did that and made a reasonable decision not to investigate further. That Petitioner now offers affidavits of experts, after the fact, giving favorable testimony on this issue does not mean that Mr. Schuster and Mr. Celia could have found such testimony at the time of trial or show they were ineffective. Daugherty v. Dugger, 839 F.2d [1426], 1432 (11th Cir.1988).
In conclusion, the record shows that trial counsel more than vigorously represented their client at trial after thoroughly investigating the case and presenting the only viable defenses they determined were available. Petitioner has failed to establish attorney error and prejudice under the standard of Strickland v. Washington.
State Habeas Order at 37, 44.
The Georgia Supreme Court also rejected Jefferson’s Strickland claim, finding that trial counsel “prepared extensively for a possible sentencing phase, including traveling to Jefferson’s home in Kentucky to interview family members and obtaining a psychological evaluation by a psychologist recommended to them by the American Civil Liberties Union.” Jefferson v. Zant, 263 Ga. 316, 319, 431 S.E.2d 110 (1993). The Georgia Supreme Court further found that:
The report did suggest that a neuropsychological evaluation might be “worthwhile ... to rule out an organic etiology.” However, in subsequent telephone conversations with Jefferson’s attorneys, the psychologist indicated that further examination would not likely be beneficial because Jefferson did not have serious mental problems and was of normal intelligence. Counsel explained that in light of this advice, as well as their own observations of Jefferson and Jefferson’s adamant assertion that he had not committed the crime, they concluded that there was no reason to explore further any mental issue, or to call the psychologist to testify in mitigation.
Jefferson’s counsel investigated the possibility of mental mitigation and concluded that there was nothing substan*1299tive to develop. The record supports the finding that Jefferson’s counsel did not believe, and had no reason to believe, that Jefferson suffered mental deficiencies that could have been exploited in mitigation.
Although other attorneys might have explored the mental issue further, we cannot conclude that the investigation by and tactical judgment of Jefferson’s attorneys was outside the wide range of reasonably effective assistance. Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984). Since we agree with the habeas court that there was no deficient attorney performance, we need not address the issue of prejudice.
Id. (citation omitted). Jefferson’s motion for reconsideration was denied by the Georgia Supreme Court on July 27, 1993, and then the United States Supreme Court denied Jefferson’s petition for a writ of certiorari. Jefferson v. Zant, 511 U.S. 1046, 114 S.Ct. 1577, 128 L.Ed.2d 220 (1994).
Thereafter, Jefferson filed this Petition for Writ of Habeas Corpus in the United States District Court for the Northern District of Georgia. In addition to allowing discovery on Jefferson’s claims of racial bias, juror misconduct, Brady violations and “actual innocence,” the district court held evidentiary hearings on February 21, 2001 and February 22, 2005.
On May 10, 2007, the federal habeas corpus court granted in part and denied in part Jefferson’s petition. The district court granted relief concerning “Petitioner’s claim that trial counsel was ineffective during the penalty phase of trial,” concluding that Jefferson’s trial counsel performed ineffectively when they failed to conduct a reasonable investigation of mitigating evidence, including, in particular, mental health evidence. Jefferson v. Terry, 490 F.Supp.2d 1261, 1348 (N.D.Ga. 2007). Specifically, the district court concluded “as a matter of law” that counsel’s strategic decision not to investigate and present this evidence was unreasonable for three reasons: (1) the lawyers erroneously relied on “oral statements made by Dr. Dudley that contradicted his written opinion without adequate explanation for the contradiction”; (2) they erroneously failed to “inquire about and appreciate the potential value of evidence of brain damage as a mitigating circumstance”; and (3) they were unaware of the mental health evidence “that might have been available.” Id. at 1324. The district court further determined that Jefferson was prejudiced by his counsel’s ineffective assistance, because the lawyers’ omissions deprived the jury of the “most powerful explanation for the crime”—that Jefferson suffered from organic brain damage that impaired his judgment and his ability to control his behavior. Id. at 1327.
The district court denied all of the other claims raised in the petition, including Jefferson’s claim that he was denied a fundamentally fair trial and reliable sentencing proceeding because jurors impermissibly considered extra-judicial evidence—the Bible—during their deliberations in violation of the Fifth, Sixth, Eighth, and Fourteenth Amendments of the United States Constitution. In denying relief on this ground, the district court found:
[Juror] Berry’s deposition testimony reflected that he was fairly certain that a juror had read from the Bible during the sentencing phase, but he could not recall the identity of the juror or the passage read aloud.... [G]iven the absence of evidence regarding the specific passage read, [Jefferson] cannot show that the passage was even relevant to the sentencing issues that were before the jury. What is clear from Mr. Berry’s deposition testimony is that any such passage *1300read was far from being the focus of the jury’s sentencing deliberations, as the passage was not even discussed among the jurors. In sum, the evidence presented in the case at bar is too weak and speculative to demonstrate that juror misconduct actually occurred or, assuming that such misconduct did occur, that one juror’s alleged reading of an unidentified, random passage from the Bible improperly influenced the jury’s sentencing deliberations.
Id. at 1347-48 (citations omitted).
The State’s appeal, and Jefferson’s cross-appeal, now follow.
II. Standards of Review
Because Jefferson filed his federal habeas petition prior to the enactment of the Antiterrorism and Effective Death Penalty Act of 1996, Pub.L. No. 104-132, 110 Stat. 1214 (1996) (“AEDPA”), this Court must review his claims under the pre-AEDPA statute. Bradshaw v. Stumpf 545 U.S. 175, 182, 125 S.Ct. 2398, 162 L.Ed.2d 143 (2005); Lindh v. Murphy, 521 U.S. 320, 327, 117 S.Ct. 2059, 138 L.Ed.2d 481 (1997).
Pre-AEDPA, questions of law and mixed questions of law and fact resolved by state habeas courts are reviewed de novo, while the state courts’ factual findings are “subject to the presumption of correctness.” Freund v. Butterworth, 165 F.3d 839, 861 (11th Cir.1999).5 Athough these findings may be disregarded if, for example, they are “not fairly supported by the record,” Jackson v. Herring, 42 F.3d 1350, 1366 (11th Cir.1995) (quoting 28 U.S.C. § 2254(d)(8)), this Court has construed the “presumption of correctness” standard to be the same as the “clear error” standard of review. Conklin v. Schofield, 366 F.3d 1191, 1199-1200 (11th Cir.2004) (“When the state habeas court has held an evidentiary hearing, ... the findings of fact by the state court are generally presumed to be correct unless clearly erroneous.”); Panzavecchia v. Wainwright, 658 F.2d 337, 339 (5th Cir. Unit B 1981) (under § 2254(d), “factual issues resolved by state courts are presumed correct and may not be set aside unless clearly erroneous”).6
We also review for clear error the district court’s findings of historical facts underlying a habeas claim, while conclusions of law are reviewed de novo. See Mincey v. Head, 206 F.3d 1106, 1142 (11th Cir.2000); Bush v. Singletary, 988 F.2d 1082, 1089 (11th Cir.1993) (“The district court held an evidentiary hearing on this issue; therefore, this court will accept the district court’s findings of fact as correct unless they are shown to be clearly erroneous.”) (citing Fed.R.Civ.P. 52(a)); Strickland, 466 U.S. at 698, 104 S.Ct. 2052 (“state court findings of fact made in the course of deciding an ineffectiveness claim are subject to the deference requirement of § 2254(d), and ... district court findings are subject to the clearly erroneous standard of Federal Rule of Civil Procedure 52(a)”).
III. Jefferson’s Ineffective Assistance of Counsel Claim
Jefferson’s central claim is that his trial attorneys were ineffective during the *1301penalty phase of his trial because they failed to conduct a reasonable investigation of mitigating evidence and because they failed to present evidence of his claimed organic brain damage. We are not persuaded.
A.
To succeed on an ineffective-assistance-of-counsel claim,. Jefferson must show that: (1) “counsel’s representation fell below an objective standard of reasonableness,” and (2) “there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the proceeding would have been different.” Strickland, 466 U.S. at 688, 694, 104 S.Ct. 2052; accord, Knowles v. Mirzayance, — U.S. -, 129 S.Ct. 1411, 1420, 1422, 173 L.Ed.2d 251 (2009); Wiggins v. Smith, 539 U.S. 510, 521-22, 123 S.Ct. 2527, 156 L.Ed.2d 471 (2003); Williams v. Taylor, 529 U.S. 362, 390, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000); Darden v. Wainwright, 477 U.S. 168, 184, 106 S.Ct. 2464, 91 L.Ed.2d 144 (1986).
Since Jefferson’s claim stems from his lawyers’ decision to limit the scope of their investigation into potentially mitigating mental health evidence, we view the deference owed these strategic judgments through this prism:
[Strategic choices made after thorough investigation of law and facts relevant to plausible options are virtually unchallengeable; and strategic choices made after less than complete investigation are reasonable precisely to the extent that reasonable professional judgments support the limitations on investigation. In other words, counsel has a duty to make reasonable investigations or to make a reasonable decision that makes particular investigations unnecessary. In any ineffectiveness case, a particular decision not to investigate must be directly assessed for reasonableness in all the circumstances, applying a heavy measure of deference to counsel’s judgments.
Strickland, 466 U.S. at 690-91, 104 S.Ct. 2052; accord Knowles, 129 S.Ct. at 1420. Thus, “even when trial counsel’s investigation and presentation is less complete than collateral counsel’s, trial counsel has not performed deficiently when a reasonable lawyer could have decided, under the circumstances, not to investigate or present particular evidence.” Grayson v. Thompson, 257 F.3d 1194, 1225 (11th Cir.2001); see also Wiggins, 539 U.S. at 523, 123 S.Ct. 2527 (“[0]ur principal concern ... is not whether counsel should have presented a mitigation case. Rather, we focus on whether the investigation supporting counsel’s decision not to introduce mitigating evidence of [the petitioner’s] background was itself reasonable.”) (emphasis omitted). If “we conclude that declining to investigate further was a reasonable act, we do not look to see what a further investigation would have produced.” Rogers v. Zant, 13 F.3d 384, 388 (11th Cir.1994) .
In reviewing a lawyer’s professional judgments, “[a] decision to limit investigation is ‘accorded a strong presumption of reasonableness.’ ” Mills v. Singletary, 63 F.3d 999, 1021 (11th Cir. 1995) (quoting Armstrong v. Dugger, 833 F.2d 1430, 1433 (11th Cir.1987)); see also Strickland, 466 U.S. at 690, 104 S.Ct. 2052 (“counsel is strongly presumed to have rendered adequate assistance and made all significant decisions in the exercise of reasonable professional judgment”). Indeed, our standard is a high one—“[e]ven if many reasonable lawyers would not have done as defense counsel did at trial, no relief can be granted on ineffectiveness grounds unless it is shown that no reasonable lawyer, in the circumstances, would have done so.” Rogers, 13 F.3d at 386 *1302(emphases added); Chandler v. United States, 218 F.3d 1305, 1315 (11th Cir.2000) (en banc) (“And because counsel’s conduct is presumed reasonable, for a petitioner to show that the conduct was unreasonable, a petitioner must establish that no competent counsel would have taken, the action that his counsel did take.”). The standard is even higher where experienced counsel is involved. See Chandler, 218 F.3d at 1316 (“When courts are examining the performance of an experienced trial counsel, the presumption that his conduct was reasonable is even stronger.”).
Moreover, the Supreme Court has emphasized that “[t]he reasonableness of counsel’s actions may be determined or substantially influenced by the defendant’s own statements or actions ... [and] what investigation decisions are reasonable depends critically on such information.” Strickland, 466 U.S. at 691,104 S.Ct. 2052. As a result, “when a defendant has given counsel reason to believe that pursuing certain investigations would be fruitless or even harmful, counsel’s failure to pursue those investigations may not later be challenged as unreasonable.” Id.
Reasonableness is assessed objectively, measured “under prevailing professional norms,” id. at 688, 104 S.Ct. 2052, and includes a context-dependent consideration of the challenged conduct as seen “from counsel’s perspective at the time,” id. at 689, 104 S.Ct. 2052. See also Hannon v. Sec’y, Dep’t of Corr., 562 F.3d 1146, 1151 (11th Cir.2009) (“The standard we apply in assessing the first prong is that of a reasonable attorney, not a paragon of the bar.”) (quotations omitted); Williams v. Head, 185 F.3d 1223, 1236 (11th Cir.1999) (“ ‘[I]n retrospect, one may always identify shortcomings,’ but perfection is not the standard of effective assistance.”) (quoting Cape v. Francis, 741 F.2d 1287, 1302 (11th Cir.1984)); Atkins v. Singletary, 965 F.2d 952, 958, 960 (11th Cir.1992) (“Most important, we must avoid second-guessing counsel’s performance.... Nothing is so easy as to be wise after the event.... A lawyer can almost always do something more in every case. But the Constitution requires a good deal less than maximum performance.”) (quotations omitted). As we have said:
In reviewing counsel’s performance, a court must avoid using the distorting effects of hindsight and must evaluate the reasonableness of counsel’s performance from counsel’s perspective at the time.... The widespread use of the tactic of attacking trial counsel by showing what “might have been” proves that nothing is clearer than hindsight—except perhaps the rule that we will not judge trial counsel’s performance through hindsight.
Chandler, 218 F.3d at 1316-17 (quotations and citation omitted). In other words, we recognize that “the trial lawyers, in every case, could have done something more or something different. So, omissions are inevitable. But, the issue is not what is possible or what is prudent or appropriate, but only what is constitutionally compelled.” Id. at 1313 (quotations omitted).
B.
When measured against these standards, we conclude that the decision of Jefferson’s trial counsel not to conduct neuropsychological testing or to present a mental health defense at the penalty phase of trial was not constitutionally ineffective. As the record establishes, both of Jefferson’s attorneys were seasoned criminal defense lawyers, and during the ten months they had to prepare their defense, they conducted an extensive investigation into both the details of the crime and Jefferson’s life history. They visited the crime scene, as well as Jefferson’s apartment complex, and his place of employment. They interviewed the State’s witnesses and *1303identified important weaknesses in the prosecutor’s case. And they traveled to Jefferson’s hometown in Kentucky to meet with his family members. Throughout this period, counsel also interacted frequently with Jefferson himself. During these meetings, Jefferson’s demeanor was invariably calm; he was articulate and appeared intelligent; and he was always helpful to counsel, for example, providing them with the details of his employment history and military service.
Notably, however, counsel’s investigation did not end there. They consulted with at least four other attorneys with extensive death penalty experience at the trial and appellate levels, including specialists at the Southern Poverty Law Center and the ACLU. And despite the fact that Jefferson had adamantly proclaimed his innocence all along, and despite the fact that counsel saw no evidence of any mental health problems in their many interactions with Jefferson, counsel took the additional precaution of requesting a psychological evaluation of Jefferson. Indeed, this motion was one of some thirty motions they filed with the trial court.7 After prevailing on their motion for psychological testing, counsel sought out recommendations from the ACLU for psychologists, and selected Dr. Dudley, one of the three experts recommended to them.
After meeting with Jefferson on four occasions, Dr. Dudley drafted an expert report. However, the report, and their conversations with Dr. Dudley, gave Jefferson’s counsel precious little to work with. The report concluded that Jefferson was in the middle range of intelligence, that the magnitude of his deficiencies was quite mild, and in no way impaired his judgment or decision-making capacity, and that he was not psychotic. The report also mentioned “sequelae to head injury experienced during childhood” as a “possibility” that Dr. Dudley was unable to explore, and said that “it would be worthwhile to conduct neuropsychological evaluation of [Jefferson] to rule out an organic etiology.” But as the state court found, when counsel spoke directly with Dr. Dudley specifically about whether to explore that “possibility,” he “led Mr. Schuster to believe that further investigation would simply be a waste of time.” State Habeas Order at 16-17.8 *1304In conversation, Dr. Dudley also remarked upon his experience as a psychologist in a Florida prison and stated that, in his opinion, Jefferson was “just a criminal.” Ex. 39 at 174-75. In light of their conversations with Dr. Dudley, Jefferson’s counsel elected not to conduct further testing, and instead presented an innocence defense at trial. Based on these factual findings of the state habeas courts—all of which are fairly supported by the record—we believe that Jefferson’s counsel were reasonable in deciding not to pursue neuropsychological testing.
The most that can be said in support of Jefferson’s position is that counsel were presented with two contradictory statements from Dr. Dudley—a statement in his written report and his oral statements in response to specific questions by counsel. Jefferson effectively asks us to discard the state habeas court’s finding of fact that defense counsel were led by Dr. Dudley’s oral statements to believe that further inquiry into neuropsychological testing would be a waste of time. This we are not prepared to do, especially where our inquiry focuses on whether it was reasonable under the circumstances not to inquire further.
Jefferson suggests, nevertheless, that when confronted with this contradiction, his attorneys had a duty to explore the issue further in order to definitively determine whether or not neuropsychological testing would be helpful to his case. We cannot agree. Counsel’s decision not to
explore the matter further was based on several sound reasons rooted in the facts and circumstances of this case. First, Dr. Dudley’s suggestion that neuropsychological testing be conducted in order to explore the “possibility” of “sequelae to head injury” is mentioned only briefly and at the very end of his report. All of the report’s other conclusions and observations—e.g., that Jefferson was in the middle range of intelligence, that he was not psychotic, and that he had mild deficiencies that did not affect his judgment or decision-making—indicated that Jefferson did not suffer from any significant psychological impairment. When taken together with Dr. Dudley’s statements to them in discussions designed to address this very issue, it was reasonable for Jefferson’s counsel to accord little weight to the statement in the written report regarding neuropsychological testing.
In addition to Dr. Dudley’s report and his oral statements, Jefferson’s counsel had other substantial reasons for deciding not to pursue neuropsychological testing or to present a mental illness defense. As we have noted, for example, neither Schuster nor Celia witnessed anything in their frequent and extensive dealings with Jefferson to indicate that he was afflicted with any mental disorder that might have been relevant to the murder. Cf. Housel v. Head, 238 F.3d 1289, 1296 (11th Cir.2001) (counsel not ineffective for failing to pursue mental health investigation where counsel knew the defendant had suffered a *1305head injury in an automobile accident, but observed nothing unusual about the defendant’s behavior, testifying that he was one of counsel’s “most intelligent” clients); Holladay v. Haley, 209 F.3d 1243, 1252 (11th Cir.2000) (counsel not ineffective for failing to pursue mental health investigation where the petitioner did not tell counsel of his stay at a mental hospital and counsel found the petitioner to be cooperative, articulate, and affable); Williams, 185 F.3d at 1239 (counsel not ineffective for failing to pursue mental health investigation where counsel had no problems communicating with the petitioner, found the petitioner to be intelligent, attentive, cooperative, polite, and interested in what was happening, to ask intelligent questions and to respond intelligently to counsel’s questions).
Two other important elements in the calculus were that Jefferson had unwaveringly proclaimed his innocence, and that the State’s case against him suffered from many weaknesses: there was no physical evidence of Jefferson’s guilt; there were no eyewitnesses to the crime; Jefferson was a “friend” of the victim and stood to benefit from a continued relationship with him; and the testimony from Jefferson’s neighbors, on which the State relied, was patchy, volatile, and self-serving. Jefferson’s insistence on his innocence, together with the vulnerabilities in the State’s case, made it reasonable for Jefferson’s counsel to focus their energies on presenting a defense of innocence.
Moreover, presenting an innocence defense would not have meshed easily with the presentation of a mental illness defense at the penalty phase. We have repeatedly recognized the difficulty that defense counsel face in arguing to the jury at the guilt phase that their client is undeniably innocent, only to switch gears at the penalty phase, admit that the defendant committed the crime, and argue that the defendant’s mental impairment caused him to have done so. See Collins v. Francis, 728 F.2d 1322, 1349 (11th Cir.1984) (“Counsel, having chosen a reasonable strategy to portray [another person] as the villain, should not be found ineffective because he did not push a line of defense that his client actually contributed to the victim’s death but did so only because he was under psychological duress. Counsel’s strategic choice as to the defense in this case was reasonable.”); see also Jones v. Dugger, 928 F.2d 1020, 1028 (11th Cir.1991); Chandler, 218 F.3d at 1319 (“Considering the realities of the courtroom, more is not always better. Stacking defenses can hurt a case. Good advocacy requires ‘winnowing out’ some arguments, witnesses, evidence, and so on, to stress others.”). Presenting a mental illness defense during the penalty phase of the trial would have placed Jefferson’s counsel in just such a precarious position, maintaining that Jefferson had not committed the crime, and then presenting testimony that if indeed Jefferson had committed a particularly violent murder, it would have been due to an organic brain injury.
We have also previously observed “that residual doubt is perhaps the most effective strategy to employ at sentencing.” Chandler, 218 F.3d at 1320 n. 28 (citing Tarver, 169 F.3d at 715-16). This is especially true where, as here, “[t]he reasonableness of counsel’s actions may be determined or substantially influenced by the defendant’s own statements or actions ... [and] what investigation decisions are reasonable depends critically on such information.” Strickland,- 466 U.S. at 691, 104 S.Ct. 2052. Viewed in this light, we think that counsel’s decision to present an innocence defense at the guilt phase of the trial, and to reference it, among other things, in the penalty phase—for example, by emphasizing during closing argument *1306that there were no eye witnesses to the crime, no guilty plea, and “no evidence of any consciousness of guilt,” Ex. 25 at 1380, 1401—was reasonable. While it may have been possible to argue the case in the alternative during distinctive phases of a death case, we cannot say that counsel were constitutionally ineffective for opting not to present a mental illness defense during the penalty phase.
Nor are we persuaded by the suggestion that it was unreasonable for Jefferson’s counsel to decide against neuropsychological testing because they had nothing to lose by doing so. The mere fact that there was “nothing to lose” by pursuing a defense does not, by itself, mean that counsel’s performance was deficient. As the Supreme Court has recently observed, it has never found counsel to be deficient simply because he “abandon[ed] [a defense] [when] there was nothing to lose by pursuing it.” Knowles, 129 S.Ct. at 1419 & n. 3.
Moreover, we cannot accept the underlying premise that nothing was in fact to be lost by pursuing the neuropsychological evidence. On the contrary, pursuing such a strategy would have come with several costs. First, as the record shows, Jefferson’s counsel spent a significant amount of time traveling and interviewing witnesses in building their strategy of innocence. Because it is undeniable that attorneys in these cases have finite resources to expend, seeking funds for and gathering additional mental health evidence may have hampered the ability of Jefferson’s counsel to work on establishing his innocence. Housel, 238 F.3d at 1296.
Beyond concerns over resource allocation, however, counsel also had significant strategic concerns about presenting multiple defense theories. For example, as we have explained above, there was a distinct possibility that presenting a mental illness defense during the penalty phase could have backfired. Moreover, adopting another strategy might have affected Jefferson’s ability to testify, which also could have harmed his case. Not only did Jefferson testify at the penalty phase in order to explain his past crimes and deny the statement that he wanted to be executed, but he -was able to explore his positive characteristics, including his employment history and relationship with his family. In addition,- his mother, sister, and girlfriend testified about his contributions to his family and how much they loved each other, and his mother asked for mercy. See Callahan v. Campbell, 427 F.3d 897, 935 (11th Cir.2005) (recognizing mercy as a reasonable defense in the penalty phase).
In sum, since the state habeas courts’ findings of fact are fairly supported by the record, and according them, as we must, a strong presumption of correctness, and evaluating the reasonableness of counsel’s performance from counsel’s perspective at the time, Strickland, 466 U.S. at 690, 104 S.Ct. 2052; Chandler, 218 F.3d at 1316-17, we conclude that the performance of Jefferson’s counsel at the penalty phase of his trial was reasonable. Counsel’s decision not to pursue neuropsychological testing was, as the state courts unambiguously found, a considered judgment, made only after substantial inquiry, not an oversight or the result of an arbitrary whim. Jefferson’s counsel carefully weighed various options, and, based on their substantial experience as criminal law practitioners, exercised their professional judgment about the most promising route to pursue. This mode of calculation and deliberation embodies the essence of “reasonableness.” In the words of the Supreme Court, Jefferson’s counsel made “strategic choices ... after less than complete investigation” that were supported by “reasonable professional judgments,” and were “determined or substantially influenced by the defendant’s own statements” that he was *1307innocent. Strickland, 466 U.S. at 690-91, 104 S.Ct. 2052. Even if another lawyer might have taken a different tack, we cannot say that no reasonable lawyer would have made the decisions Schuster and Celia made. Rogers, 13 F.3d at 386. We, therefore, conclude that the state habeas courts were correct in holding that Jefferson’s counsel were not constitutionally ineffective.9
c.
Accordingly, we cannot accept the federal district court’s conclusion that Jefferson’s counsel performed unreasonably, nor with several underpinnings of that decision. First, contrary to the district court’s suggestion that trial counsel must always have “full information,” 490 F.Supp.2d at 1326, our en banc decision in Chandler makes clear, as Strickland recognized from the outset, that the law does not require counsel always to investigate extensively every conceivable defense: [C]ounsel need not always investigate before pursuing or not pursuing a line of defense. Investigation (even a nonexhaustive, preliminary investigation) is not required for counsel reasonably to decline to investigate a line of defense thoroughly.FN22 For example, counsel’s reliance on particular lines of defense to the exclusion of others—whether or not he investigated those other defenses—is a matter of strategy and is not ineffective unless the petitioner can prove the chosen course, in itself, was unreasonable.
FN22. As we have recognized, Strickland’s approach toward investigation “reflects the reality that lawyers do not enjoy the benefit of endless time, energy or financial resources.” Rogers, 13 F.3d at 387. How a lawyer spends his inherently limited time and resources is also entitled to great deference by the court. See White, 972 F.2d at 1224 (“[Gjiven the finite *1308resources of time and money that face a defense attorney, it simply is not realistic to expect counsel to investigate substantially all plausible lines of defense. A reasonably competent attorney often must rely on his own experience and judgment, without the benefit of a substantial investigation, when deciding whether or not to forego a particular line of defense----”).
Chandler, 218 F.3d at 1318 & n. 22 (citations omitted); Foster v. Dugger, 823 F.2d 402, 405 (11th Cir.1987). Rather, Jefferson’s counsel were required only to make “a reasonable decision” that further investigation into Jefferson’s mental health was “unnecessary,” Strickland, 466 U.S. at 690-91, 104 S.Ct. 2052, and Jefferson’s counsel did just that.
Nor do we think this case is at all like Blanco v. Singletary, 943 F.2d 1477, 1500 (11th Cir.1991), or Middleton v. Dugger, 849 F.2d 491, 493 (11th Cir.1988). In Blanco and Middleton, counsel performed no investigation into mitigating evidence, or no investigation at all into certain mitigating factors, and provided no explanation for their failure. See Blanco, 943 F.2d at 1500-03 (counsel informed the court that he was not prepared for the penalty phase and needed a continuance to locate witnesses, and after the continuance, counsel nonetheless failed to put on any mitigation evidence, “primarily a result of counsels’ eagerness to latch onto Blanco’s statements that he did not want any witnesses called”); Middleton, 849 F.2d at 493-94 (“Middleton’s trial counsel conducted almost no background investigation, despite discussions with Middleton concerning the existence of such mitigating evidence,” and counsel testified that they had no tactical reasoning behind their failure to perform a background investigation for possible mitigating evidence).
Here, in sharp contrast, ■ counsel performed an investigation into Jefferson’s background and mental health, and obtained an expert on this issue before intentionally abandoning the defense in favor of others that seemed more promising. In fact, this case more closely resembles the facts in Rogers. There, Rogers’s counsel conducted an investigation and presented evidence about mitigating circumstances, but after failing to investigate the effects of PCP on users, presented no evidence or argument about Rogers’s PCP use. Rather than focusing on what counsel could have learned through further investigation, the Court held:
Once we conclude that declining to investigate further was a reasonable act, we do not look to see what a further investigation would have produced. Nor do we need to decide whether the information that would have resulted from further investigation would have necessarily been used at trial by every reasonable lawyer who was armed with such information. If the act of conducting no investigation of a particular defense is reasonable, the matter is closed; there can be no question about the reasonableness of having failed to present evidence of which the lawyer was unaware as a result of a reasonable decision to investigate no further. Cf. Middleton v. Dugger, 849 F.2d 491, 493 (11th Cir.1988) (where lack of investigation is inadequately explained, court looks at information that more investigation would have produced and determines whether a reasonable trial counsel might not have used it).
Rogers, 13 F.3d at 388 (emphasis added); see also Chandler, 218 F.3d at 1317 n. 20 (“basing the inquiry on whether an investigation (if one had been undertaken) would have uncovered mitigating evidence (or witnesses) is an example of judging counsel’s acts from the benefit of hindsight”). *1309Here, notwithstanding the district court’s suggestion to the contrary, it cannot fairly be said that Jefferson’s counsel had no reasonable basis for not investigating further, nor was the rationale “inadequately explained,” nor finally did counsel fail to appreciate the possible value of further investigation. Quite simply, counsel engaged an expert psychologist to evaluate Jefferson, and the psychologist expressly discouraged them from pursuing the matter further.
For all of these reasons, we hold that Jefferson has not established that counsel’s performance at the penalty phase was unreasonable under Strickland. Since Jefferson has failed to meet the first prong of Strickland, we need not address the second prong of the analysis—whether his defense was prejudiced. Dingle v. Sec’y for Dep’t of Corr., 480 F.3d 1092, 1100 (11th Cir.2007) (“Because Dingle has failed to establish the deficient performance prong of his Strickland claim, we need not address the prejudice prong.”); see also Strickland, 466 U.S. at 697, 104 S.Ct. 2052. The state habeas courts properly denied relief on the Petitioner’s ineffective-assistance-of-counsel claim.
TV. Jefferson’s Juror Misconduct Claim
Jefferson cross-appeals claiming that he was denied a fundamentally fair trial and reliable sentencing proceeding because jurors allegedly considered an unknown biblical passage during their deliberations in violation of the Fifth, Sixth, Eighth, and Fourteenth Amendments. As an initial matter, Jefferson did not raise this claim in the state courts, and, we, therefore, must address whether Jefferson has excused his procedural default with a showing of cause and actual prejudice. Francis v. Henderson, 425 U.S. 536, 542, 96 S.Ct. 1708, 48 L.Ed.2d 149 (1976); Mincey v. Head, 206 F.3d 1106, 1135 (11th Cir.2000) (citing Coleman v. Thompson, 501 U.S. 722, 750, 111 S.Ct. 2546, 115 L.Ed.2d 640 (1991); McCoy v. Newsome, 953 F.2d 1252, 1258 (11th Cir.1992)); see also Turpin v. Todd, 268 Ga. 820, 828, 493 S.E.2d 900 (Ga.1997) (“to overcome the procedural bar, Todd must not only demonstrate cause for failing to raise the claim on direct appeal, but also actual prejudice”).
Under the “actual prejudice” test, a defendant must show “not merely that the errors at his trial created a possibility of prejudice, but that they worked to his actual and substantial disadvantage, infecting his entire trial with error of constitutional dimensions.” United States v. Frady, 456 U.S. 152, 170, 102 S.Ct. 1584, 71 L.Ed.2d 816 (1982); Hollis v. Davis, 941 F.2d 1471, 1480 (11th Cir.1991); Turpin, 268 Ga. at 828, 493 S.E.2d 900 (citing Reece v. United States, 119 F.3d 1462, 1467-68 (11th Cir.1997)). See also Booker v. Wainwright, 764 F.2d 1371, 1380 (11th Cir.1985) (finding no showing of actual prejudice where there was overwhelming evidence of guilt and the petitioner admitted on the stand that death was the only appropriate penalty, as “Booker faced a difficult task in arguing that the prosecutor’s description of the victim as ‘white’ destroyed a substantial likelihood that he would receive mercy”). Notably, even if the law presumes prejudice for certain errors when they are timely raised, a convicted defendant who is seeking to overcome a procedural bar does not have the benefit of that presumption of prejudice, and must instead meet the actual prejudice test set forth in Frady. See Francis, 425 U.S. at 542 n. 6, 96 S.Ct. 1708 (“The presumption of prejudice which supports the existence of the [constitutional] right is not inconsistent with a holding that actual prejudice must be shown in order to obtain relief from a statutorily provided waiver for failure to assert it in a timely manner.”); Hollis, 941 F.2d at 1479-80; Turpin, 268 Ga. at 828, 493 S.E.2d 900.
*1310Regardless of whether Jefferson has established “cause” for his failure to present the juror misconduct issue to the state courts, he has not come close to making a showing of “actual prejudice.” All that Jefferson has suggested, at the highest order of abstraction, is that he somehow suffered prejudice “when the sentencing decision of at least one of the jurors necessary to the death sentence verdict in this case was arbitrarily based upon extrajudicial material.” (Gray Br. at 13.) This claim—which does nothing more than “presume prejudice” based on jury exposure—does not establish “actual and substantial disadvantage, infecting his entire trial with error of constitutional dimensions.” Frady, 456 U.S. at 170, 102 S.Ct. 1584. On this basis alone, his claim is due to be denied.
But even if we were to reach the merits of Jefferson’s procedurally defaulted claim, we would reject it. To establish jury misconduct, “[t]he defendant has the burden to show that the jury has been exposed to extrinsic evidence or extrinsic contacts. Once the defendant establishes that such exposure in fact occurred, prejudice is presumed and the burden shifts to the government to rebut the presumption.” United States v. Rondo, 455 F.3d 1273, 1299 (11th Cir.2006); McNair v. Campbell, 416 F.3d 1291, 1307 (11th Cir.2005). The “presumption of prejudice” arises upon a showing of two elements: that an extraneous contact with or by a member of the jury took place and that such contact was “about the matter pending before the jury.” Remmer v. United States, 347 U.S. 227, 229, 74 S.Ct. 450, 98 L.Ed. 654 (1954).10
Here, after holding an evidentiary hearing, the district court rejected Jefferson’s suggestion that a juror consulted a Bible verse in reaching her sentencing verdict. Specifically, the district court found as a fact that “the evidence is too weak to demonstrate that juror misconduct actually occurred, or assuming that such misconduct did occur, that the misconduct prejudicially influenced the jury’s sentencing deliberations.” 490 F.Supp.2d at 1347-48. These findings are not clearly erroneous. As for whether the incident occurred, the record plainly shows that only one juror, Richard Berry, recalled a female juror with a Bible, despite the fact that at least four other jurors were interviewed about the alleged incident. Furthermore, while Berry testified that he was fairly certain that a juror had read from the Bible during the sentencing phase, he could not recall the name of the juror or which passage was read. The district court did not clearly err in finding the evidence “too weak” to establish that a juror read a Bible passage out loud during Jefferson’s sentencing deliberations.
Moreover, even if we were to assume that a female juror did read from the Bible—and that an individual juror’s private consultation with the Bible constitutes extrinsic evidence11—the evidence concern*1311ing which passage was read from the Bible, and in what manner, is too innocuous and nebulous to establish that the Bible passage reading was “about the matter pending before the jury.” Remmer, 347 U.S. at 229, 74 S.Ct. 450. On the record before us, we do not know who had the Bible, what was read, or whether the reading was considered, let alone drove her decision. Without more, Jefferson has not met his initial burden of showing that “the jury has [in fact] been exposed to extrinsic evidence or extrinsic contacts.” Ronda, 455 F.3d at 1299. The district court properly denied relief on this ground.
V
Because we have concluded that Jefferson is not entitled to habeas relief on either ground raised on appeal, Jefferson’s Petition for Writ of Habeas Corpus must be and is denied. We AFFIRM the district court’s denial of Jefferson’s juror misconduct claim, REVERSE the ruling of the district court granting Jefferson’s petition as to his sentence of death, and REMAND with instructions that the district court reinstate Jefferson’s original sentence.
AFFIRMED in part, REVERSED in part, and REMANDED with instructions.
. On cross-examination, Glade admitted he had originally told the police that Jefferson informed him that Taulbee was dead on May 2, not May 1. Ex. 21 at 473-74, 479. Glade explained that he changed his mind about the date when he discussed it with his sister and Mitchell “as a group.” Ex. 21 at 480. Glade also admitted that he had told the police he wanted to "get” the money in Jefferson’s wallet, because Glade was broke. Ex. 21 at 482.
. On cross-examination, Mitchell testified that Ms. Glade was mistaken when she said that Mitchell had been talking with Jefferson and Taulbee on the afternoon of May 1. Ex. 22 at 529-30. Mitchell also admitted that Jefferson had denied killing Taulbee to him. Ex. 22 at 535.
. These aggravating circumstances are found at Ga.Code Ann. § 17—10—30(b)(2) and § 17-10-3 0(b)(7), respectively.
. In all, Jefferson's counsel filed about 30 motions with the state court before and during his trial. These included: demands for a jury trial, witness list, copy of indictment and warrants; a demand for copies of Petitioner’s statements; a discovery motion; a motion for copies of scientific reports and for preservation of and inspection of documents; a motion to examine the physical evidence; a motion requiring state agents and attorneys to keep written notes; a motion for a pretrial conference on the motion for funds; a motion for complete recordation; a challenge to the composition of the grand jury; a motion to prevent questioning of prospective jurors regarding their views on the death penalty; a motion for individual, sequestered voir dire; a motion to bar the prosecutor from using his strikes in a racially discriminatory manner; a motion for sequestration of the jury during *1294trial; a motion reserving the right to file additional motions; a motion for the appointment of a psychiatrist or psychologist or a mental health specialist to determine Petitioner’s competency and sanity; a motion for access to Lexis; a motion to provide Petitioner suitable clothing at trial; a motion for disclosure of impeaching information and any deals; a challenge to the traverse jury composition; a motion for funds for defense experts to assist in the jury composition challenge; a motion to suppress Petitioner’s statements; a motion to suppress evidence seized during a search of Petitioner's apartment; a motion to transfer jurisdiction of the case to federal district court; a motion for funds for defense witnesses from out of state; seventeen requests to charge; a motion to determine if the rule of sequestration had been violated; eighteen additional requests to charge; a motion to submit a particular verdict form for sentencing purposes; and three additional requests to charge for the sentencing phase. Ex. 1 at 48-134, 137-64, 169-73, 190-98; Ex. 2 at 240-50, 274-93, 309, 314-26.
. We note that deference is owed not only to the state trial court’s findings of fact, but to the Georgia Supreme Court's findings as well. See Provenzano v. Singletary, 148 F.3d 1327, 1330 (11th Cir.1998) (“deference is owed to state appellate court findings based upon statements in the trial record even when those statements were not made under oath”).
. See Stein v. Reynolds Sec., Inc., 667 F.2d 33, 34 (11th Cir.1982) (adopting all post-September 30, 1981 decisions of Unit B of the former Fifth Circuit as binding precedent in the Eleventh Circuit).
. As the state habeas court details, Jefferson’s counsel—in addition to filing these dozens of motions—aggressively represented him. State Habeas Order at 12-22. For example, they participated in at least ten pretrial motion hearings, including one in which they presented two jury composition experts as well as the testimony of former and current jury commissioners regarding jury selection practices. The voir dire process alone resulted in five separate volumes of transcripts. And during the course of the trial, Jefferson’s counsel cross-examined virtually every State's witness, and voiced numerous objections, including objections to the jury, the trial court’s and the prosecutor's remarks, the State's evidence, and the jury instructions.
. We specifically note that neither Jefferson nor the district court questioned the state court’s factual finding that “Dr. Dudley led Mr. Schuster to believe that further investigation would simply be a waste of time,” (emphasis added), despite Schuster's testimony that Dr. Dudley told him it “may” be a waste of time. Nevertheless, the state court’s use of the word "would” is “fairly supported” by all of the written and oral advice Dr. Dudley gave to Jefferson’s counsel—including the statements in the written report that Jefferson was in the middle range of intelligence, that the magnitude of his deficiencies was quite mild, and in no way impaired his judgment or decision-making capacity, and that he was not psychotic, as well as Dr. Dudley's oral statements that based upon his experience as a psychologist in a Florida prison, Jefferson was "just a criminal.” The dissenting opinion appears reluctant to accept the findings of the state habeas court or the Georgia Supreme Court. But it is irrelevant whether or not the oral statements upon which the state courts relied in making their findings are characterized as "informal”; indeed, the state courts' findings are clear, unambiguous, and fairly supported by the record, and we are *1304therefore duty-bound to accept them. Jackson, 42 F.3d at 1366.
It is also worth noting that Jefferson has not argued that any of the state courts’ factual findings were "not fairly supported by the record,” and thus, they are likewise "entitled to a presumption of correctness.” Id. We recognize that Jefferson notes that "[t]he state habeas court’s 'fact-finding' is dubious at best,” Red Brief at 31 n. 10, describing how the state court’s order mentions a witness as not credible, even though that witness did not actually testify, and asks this Court to "harbor serious doubts about the findings of fact and credibility determinations in the state court record.” However, Jefferson does not point to any particular factual finding that was clearly erroneous, and Jefferson even says in the argument section of his brief that "[t]he relevant facts are not in dispute.” Red Brief at 24.
. We do not—as the dissenting opinion suggests—rest our decision solely, or even mainly, on counsel’s decision to pursue a residual doubt defense at sentencing, but rather, on the many reasons enumerated in this opinion, including: (1) counsel's own experience as criminal attorneys and their request for advice from seasoned capital attorneys; (2) counsel’s thorough investigation into the crime and Jefferson’s life history, which revealed many weaknesses in the State’s circumstantial case, Jefferson's record in the Navy, a "pretty good work history,” and, notably, no record of any explosive behavior; (3) Dr. Dudley’s written report and oral comments to counsel, which, as the state courts found, led counsel to believe that further investigation "would be a waste of time"; (4) counsel's interactions with Jefferson himself, who was "always very calm and always extremely helpful,” helped coordinate interviews with his family and co-workers, gave counsel information about the State’s witnesses, had a good vocabulary, understood counsel’s questions, and "was very workable within the sense that he helped us in any way he could to prepare the defense”; (5) Jefferson’s "adamant” insistence that he was innocent of the crime; and (6) the costs of switching defenses at sentencing, which may have lost credibility with the jury and affected Jefferson’s decision to testify. In this respect, it was reasonable for counsel to believe that evoking sympathy or asking the jury for mercy did not involve an explicit admission of guilt; and surely, not to the same degree as a neurological defense would have. It is one thing to plead for mercy and quite another to say, "I committed a particularly brutal murder, but did so only because of organic brain injury.”
As we see it, this case is very different from the two cited by the dissenting opinion—Cunningham v. Zant, 928 F.2d 1006 (11th Cir.1991), and Wiggins, 539 U.S. 510, 123 S.Ct. 2527, 156 L.Ed.2d 471—that did not involve situations where: (1) counsel spoke with numerous family members prior to trial; (2) a psychologist led counsel to believe, unlike in Wiggins, that "further investigation would have been fruitless,” 539 U.S. at 525, 123 S.Ct. 2527; and (3) there were no prior diagnoses of mental illness or other readily available materials that counsel missed.
. "Although prior precedent recognized the presumption of prejudice from Remmer, this Court, on at least two later occasions, has stated that prejudice is not presumed even when jurors considered extrinsic evidence.” Ronda, 455 F.3d at 1299 n. 36 (citing United States v. Rowe, 906 F.2d 654, 656-57 (11th Cir.1990); United States v. De La Vega, 913 F.2d 861, 870 (11th Cir.1990)). Ronda did not ultimately resolve the issue because "we conclude[d] that the government ha[d] sufficiently rebutted that presumption.” Id. Likewise, we need not resolve the issue today.
. Jefferson has cited no federal, or even Georgia cases in which an individual juror’s private consultation with the Bible constituted extrinsic evidence. Instead, many of the cases he has drawn our attention to involve instances in which the prosecutor or the trial judge introduced religion to the jury, or where the jury considered the Bible as a *1311group. See McNair, 416 F.3d at 1307; United States v. Bakker, 925 F.2d 728, 740-41 (4th Cir.1991); Jones v. Kemp, 706 F.Supp. 1534, 1560 (N.D.Ga.1989); Carruthers v. State, 272 Ga. 306, 308-11, 528 S.E.2d 217 (2000), overruled on other grounds by Vergara v. State, 283 Ga. 175, 657 S.E.2d 863 (Ga.2008); Ice v. Commonwealth, 667 S.W.2d 671, 676 (Ky.1984); Commonwealth v. Chambers, 528 Pa. 558, 599 A.2d 630, 644 (1991); see also Jones v. Francis, 252 Ga. 60, 61, 312 S.E.2d 300 (Ga.1984) (finding harmless error where the trial judge permitted a Bible to go out with the jury during its deliberations in the sentencing phase of the trial, and defense counsel’s closing argument traced the history of the Bible from a milieu in which the death penalty was imposed for such things as witchcraft and false prophesy, to a new milieu of forgiveness and mercy).