Charles Campbell appeals the district court’s denial of his petition for habeas corpus. He challenges the imposition of a death sentence following his convictions for aggravated first degree murder. His arguments on appeal concern (1) the propriety of the prosecutor’s closing arguments during the penalty phase of the trial; (2) the admissibility during that phase of evidence of a prior conviction; (3) the effectiveness of the assistance of his counsel; and (4) the constitutionality of Washington’s capital punishment statute. We reject Campbell’s arguments and affirm.1
*1456FACTS AND PROCEEDINGS BELOW
The facts of this case are set forth in detail in State v. Campbell, 103 Wash.2d 1, 691 P.2d 929, 933 (1984), cert, denied, 471 U.S. 1094, 105 S.Ct. 2169, 85 L.Ed.2d 526 (1985), and are only briefly summarized here.
In 1974 Campbell assaulted Renae Wicklund in her home in Clearview, Washington. Diming the assault, Campbell forced Renae to submit to acts of sodomy by holding a knife to the throat of her one-year-old daughter, Shannah. Renae sought help after the attack from a neighbor, Barbara Hendrickson. After a 1976 trial at which both women testified against him, Campbell was convicted of first degree assault and sodomy and sent to prison.
In March 1982 Campbell was transferred to a work release facility in Everett, Washington. On April 14, 1982 Campbell returned to the home of Renae Wicklund in Clearview. There he beat Renae severely, strangled her, and slashed her throat. He then cut the throats of Shannah Wicklund, then eight years old, and Barbara Hendrickson, who, by a tragic twist of fate, was visiting Renae and Shannah that afternoon. All three victims bled to death.
Campbell was arrested a few days after the homicides and charged with three counts of aggravated first degree murder. Pursuant to Washington law, the prosecutor filed a written notice of intent to seek the death penalty.2 After a trial in which the state’s case was “overwhelmingly strong,” Campbell, 691 P.2d at 933, Campbell was convicted on all three counts. The jury found four aggravating factors:3 (1) Campbell was serving a term of imprisonment at the time of the murders; (2) the murders of two of the victims were related to their testimony against Campbell in his earlier trial for assault and sodomy; (3) Campbell murdered Shannah and Barbara to protect or conceal his identity; and (4) the murders were committed in the course of a burglary in the first degree. Campbell, 691 P.2d at 937. '
Following the guilt phase of the trial, a special sentencing proceeding was held pursuant to Wash.Rev.Code § 10.95.050 (Supp. 1987). The jury found beyond a reasonable doubt that there were not sufficient mitigating circumstances to merit leniency. See Wash.Rev.Code § 10.95.030(2). As required by Wash.Rev.Code § 10.95.030(2) the trial judge sentenced Campbell to death. The Washington Supreme Court affirmed the convictions and sentence. Campbell, 691 P.2d at 948. Certiorari was denied. 471 U.S. 1094, 105 S.Ct. 2169, 85 L.Ed.2d 526 (1985).
*1457Two weeks prior to the scheduled execution date, Campbell, through court-appointed counsel, filed with the Washington Supreme Court a motion to stay the execution. The court treated the motion as a personal restraint petition and denied the petition. Campbell then filed a petition for writ of habeas corpus and a motion for stay of execution with the federal district court. In two separate orders, the district court denied Campbell’s petition for writ of habeas corpus. Campbell timely appeals. A stay of execution has been granted pending appeal.
STANDARD OF REVIEW
A district court’s decision on a petition for writ of habeas corpus is reviewed de novo. Chatman v. Marquez, 754 F.2d 1531, 1533-34 (9th Cir.), cert, denied, 474 U.S. 841, 106 S.Ct. 124, 88 L.Ed.2d 101 (1985).
DISCUSSION
A. Prosecutor’s Closing Argument
Campbell argues that the prosecutor’s penalty phase closing argument was improper because it appealed to the passion and prejudice of the jury. He contends that the prosecutor’s reference to (1) the potential harm to other persons in prison; (2) the potential harm to trial witnesses; (3) the theory of “societal self-defense”; and (4) the jury’s limited responsibility “to answer one sole question” rather than “to debate the death penalty,” rendered the jury’s verdict unconstitutional.
We agree that “[i]t is of vital importance to the defendant and to the community that any decision to impose the death sentence be, ajid appear to be, based on reason rather than caprice or emotion.” Gardner v. Florida, 430 U.S. 349, 358, 97 S.Ct. 1197, 1204, 51 L.Ed.2d 393 (1977). Every argument which stirs the emotions of the jury, however, does not render a sentencing proceeding unconstitutional. The Supreme Court has expressly approved the use of “open and far-ranging argument” during a capital sentencing proceeding. See Gregg v. Georgia, 428 U.S. 153, 203, 96 S.Ct. 2909, 2939, 49 L.Ed.2d 859 (1976). “We think it desirable for the jury to have as much information before it as possible when it makes the sentencing decision.” Id. at 204, 96 S.Ct. at 2939. What is important is a “focus on the particularized circumstances of the crime and the defendant.” Id. at 199, 96 S.Ct. at 2937; see also Zant v. Stephens, 462 U.S. 862, 879,103 S.Ct. 2733, 2744, 77 L.Ed.2d 235 (1983); Roberts v. Louisiana, 428 U.S. 325, 333, 96 S.Ct. 3001, 3006, 49 L.Ed.2d 974 (1976).
Mere improper argument does not necessarily violate a defendant’s constitutional rights. See Caldwell v. Mississippi, 472 U.S. 320, 328, 105 S.Ct. 2633, 2639, 86 L.Ed.2d 231 (1985) (Supreme Court cases “clearly warn against holding every improper and unfair argument of a state prosecutor to be a federal due process violation”). An “examination of the entire proceedings” must be made to determine whether the prosecutor’s remarks rendered the proceedings “fundamentally unfair.” Donnelly v. DeChristoforo, 416 U.S. 637, 645, 94 S.Ct. 1868, 1872, 40 L.Ed.2d 431 (1974); see also Caldwell, 472 U.S. at 339-40, 105 S.Ct. at 2645.
1. Potential Harm to Other Persons in Prison
During closing argument in the sentencing proceeding, the prosecutor stated:
Mr. Campbell’s past conduct in this case, carrying a grudge for having victimized a woman, an innocent woman, of sodomy and assault in 1974, carrying that grudge until 1982 and then brutally and savagely killing her — Certainly Mr. Campbell, if he gets life in prison without parole, maybe he will never be out again but suppose he gets angry at a fellow prisoner? How long will he carry a grudge there? Will he get back at them? How about prison guards? The help in prison? A cook? Someone who is not a prison guard. How about those people?
The prosecutor’s argument in this instance was permissible because it was related to the future dangerousness of this particular defendant. The Supreme Court *1458has consistently held that the future dangerousness of a defendant is a proper consideration for the jury in a capital sentencing proceeding. Caldwell, 472 U.S. at 335, 105 S.Ct. at 2642-43; Jurek v. Texas, 428 U.S. 262, 274-76, 96 S.Ct. 2950, 2957-58, 49 L.Ed.2d 929 (1976). Such consideration is consistent with “the kind of individualized focus required in capital sentencing decisions.” California v. Ramos, 463 U.S. 992, 1005-06, 103 S.Ct. 3446, 3455-56, 77 L.Ed.2d 1171 (1983). We agree with the district court that
the evidence provided a logical basis for the concerns [the prosecutor] raised [in his closing argument to the jury]. The evidence supported the conclusion that Campbell committed the murders in retaliation for testimony approximately six years earlier. The suggested danger to others with whom Campbell might have contact in the future was therefore directly related to his character and record.
Campbell nevertheless argues that the jury’s consideration of “any relevant factors” under Wash.Rev.Code § 10.95.070 is restricted to mitigating factors only. That section provides in part that a jury may consider “[w]hether there is a likelihood that the defendant will pose a danger to others in the future.” Wash.Rev.Code § 10.95.070(8). The state trial court included section 10.95.070 in its instructions to the jury made prior to closing argument, and the prosecutor tailored his closing argument to those instructions. Campbell does not contend that the court’s instructions were improper.
Campbell argues that because the defendant’s future dangerousness is an aggravating factor rather than a mitigating factor, any argument regarding that issue was improper. He contends that State v. Bartholomew, 101 Wash.2d 631, 683 P.2d 1079, 1088 (1984), held that section 10.95.-070 must be construed to allow jury consideration of only mitigating factors. In Bartholomew, the court stated that
the jury’s liberal mandate under RCW 10.95.070 to consider “any relevant factors” shall be limited to mitigating factors only____ Specifically, evidence of nonstatutory aggravating factors must be limited to defendant’s criminal record, evidence that would have been admissible at the guilt phase, and evidence to rebut matters raised in mitigation by the defendant.
Id. 683 P.2d at 1086-87.
We disagree with Campbell’s characterization of Bartholomew. Nothing in Bartholomew suggests that the court intended to place restrictions on the consideration of dangerousness. On the contrary, Bartholomew approved the trial court’s reading of section 10.95.070(8):
The court also read the jury the list of relevant factors for consideration provided in RCW 10.95.070. The jury may have found helpful a definition of “mitigating circumstances.” However, we conclude that these instructions adequately guided the jury as to the nature and function of mitigating circumstances.
Id. at 1089.
In Campbell, with Bartholomew as its guide, the court concluded that reference in the jury instructions to the future dangerousness of the defendant does not introduce a “nonstatutory aggravating factor” into the proceedings:
Defendant argues that by delineating eight possible mitigating factors, which the defendant has not raised, the court has in fact introduced prejudicial nonstatutory aggravating factors____
We recently held that the trial court’s reading of the relevant factors provided in RCW 10.95.070 “adequately guided the jury as to the nature and function of mitigating circumstances.” State v. Bartholomew, 101 Wash.2d 631, 647, 683 P.2d 1079 (1984). See also [State v.] Rupe, 101 Wash.2d [664] at 701, 709-710, 683 P.2d 571 [1984]. As in Bartholomew, the trial court’s recitation of the eight factors merely served as an illustration to the jury of the information it might consider in determining mitigating circumstances. Instruction 7 advised the jury that it “may consider any relevant factors” and that consideration was “not limited” to the eight enumerated factors. We see *1459nothing in the instruction that imposed additional aggravating factors____ The statutory standard for mitigation gives proper guidance to the jury____
Campbell, 691 P.2d at 944.
We therefore conclude that the prosecutor’s argument addressing the issue of dangerousness did not transgress federal constitutional standards.4
2. Potential Ham to Trial Witnesses
In rebuttal argument, the prosecutor asked the jury “[wjhich of these witnesses that testified, if they thought that members ... of this jury would not protect them, would have ever taken this stand and testified?” Campbell’s attorney immediately objected on the ground that it was not proper rebuttal. The trial judge sustained the objection, and the prosecuting attorney moved on to another line of argument. Campbell asserts that the prosecutor’s statement improperly suggested to the jury the possibility of Campbell’s escape from prison if he were not executed.
We agree that the prosecutor’s statement did at least suggest the possibility of escape. Because the likelihood of Campbell’s future contact with trial witnesses, if he were to be sentenced to life imprisonment without parole, is remote compared to the contact he inevitably would have with fellow prisoners and prison employees, the link between this argument and Campbell’s future dangerousness is far more attenuated than that of the previous argument. Moreover, the comment violated at least the spirit of the trial judge’s preargument order not to discuss the possibility of escape in argument.
We do not find, however, that the argument was constitutionally improper, particularly in light of Campbell’s conduct in the past — that is, the killing of two of the victims because of their prior testimony against him. This argument is analogous to the instruction given in Ramos, but is even more “individualized.” In Ramos the Supreme Court approved the use of an instruction to inform the jury of the governor’s power to commute a sentence of life imprisonment without possibility of parole to a lesser sentence under which parole was a possibility. Ramos, 463 U.S. at 1005, 103 S.Ct. at 3456. In upholding the instruction, the Court stated:
[A]s a functional matter the [instruction focuses the jury’s attention on whether this particular defendant is one whose possible return to society is desirable. In this sense, then, the jury’s deliberation is individualized. The instruction invites the jury to predict not so much what some future Governor might do, but more what the defendant himself might do if released into society.
Id.; see also Brooks v. Kemp, 762 F.2d 1383, 1411-12 (11th Cir.1985) (en banc) (holding arguments regarding possibility of escape proper because they were “arguments about Brooks’ future dangerousness [which] were appropriate inferences from the record before the jury”), vacated and *1460remanded on other grounds, — U.S. -, 106 S.Ct. 3325, 92 L.Ed.2d 732 (1986).
3. Societal Self-Defense
The prosecutor made the following argument during the sentencing proceeding:
This is the sort of case — I like to call it society’s right of self-defense in this case. Mr. Campbell, by his actions, has declared war on society. Society should not have to put up and cannot put up with what he has done and what he did to those three people, what he may do to anyone else in the future that crosses him.
You members of the jury are in effect the conscience of the community. You have heard all of the evidence in this case. You’ve heard everything you can and will hear about Mr. Campbell’s background and now it is up to you to make a decision. Can society — should society tolerate this? We urge you to say, “No, society should not tolerate this,” that there are not sufficient mitigating circumstances to merit leniency.
Campbell contends that this argument “misle[d] the jury with an inappropriate analogy to the doctrine of self-defense.” See People v. Holman, 103 Ill.2d 133, 82 Ill. Dec. 585, 602, 469 N.E.2d 119, 136 (1984), cert, denied, 469 U.S. 1220, 105 S.Ct. 1204, 84 L.Ed.2d 347 (1985) (prosecutor improperly argued that the jury may impose the death penalty just as an individual may use deadly force against a person who threatens bodily harm to individual or family member).
Here, the prosecutor’s argument again relates, at least indirectly, to the future dangerousness of the defendant. Furthermore, when the entire sentencing proceeding is reviewed, it cannot be contended that the argument rendered the proceeding fundamentally unfair. This is particularly true in light of the fact that Campbell's own attorney, during his argument to the jury, concurred in the “self-defense” argument:
There are certain things that [the prosecutor] said that I have to agree with. Given the fact that you found Mr. Campbell guilty, society has to protect itself. That doesn’t mean the man has to be put to death. But I grant him that much, that we cannot have people who commit these kind of crimes running around loose among us ever again.
See Lockett v. Ohio, 438 U.S. 586, 595, 98 S.Ct. 2954, 2959-60, 57 L.Ed.2d 973 (1978) (prosecutor’s arguments not unconstitutional in light of defendant’s own counsel’s remarks along same line).
4. Jury’s Limited Responsibility
In response to the closing argument of Campbell’s counsel to the sentencing jury — an argument grounded primarily on notions of humanity, moral conscience, mercy and forgiveness, and “Christian teachings” — the prosecutor began his rebuttal argument with the following statement:
Ladies and Gentlemen of the Jury, the Court did not instruct you to debate the death penalty, whether it is proper or improper in this case. The Court instructed you that you are to answer one sole question. Are there or are there not sufficient mitigating circumstances to merit leniency?
Campbell contends that this argument runs afoul of the principles set forth in Caldwell, 472 U.S. at 323, 105 S.Ct. at 2636-37. There, the Court reversed a death sentence on the ground that the prosecutor “urged the jury not to view itself as determining whether the defendant would die, because a death sentence would be reviewed for correctness by the State Supreme Court.” Id. The Court stated that arguments regarding automatic appellate review of a death sentence “minimize[d] the jury’s sense of [its ‘truly awesome'] responsibility for determining the appropriateness of death.” Id. at 341, 105 S.Ct. at 2646. Such argument, therefore, “does not meet the standard of reliability that the Eighth Amendment requires.” Id.
We agree with the district court that Campbell’s contention is without merit. The prosecutor’s remark regarding the jury’s duty not to “debate the death penalty” can be construed only as a general comment on the validity of the death penal*1461ty per se. It was therefore proper rebuttal. The comment regarding the jury’s responsibility “to answer one sole question” was “both accurate and relevant to a legitimate state penological interest.” Id. at 335,105 S.Ct. at 2643. The argument properly focused the jury’s attention on its charge to decide whether there were sufficient mitigating circumstances to merit leniency.
Moreover, Campbell can show no prejudice from the prosecutor’s argument. The court clearly instructed the jury on its proper role. At the outset of the sentencing proceeding, the trial court instructed the jury:
If the jury unanimously finds that there are not sufficient mitigating circumstances to merit leniency, the Court shall sentence the defendant to death. The Court may not suspend or defer the execution or imposition of that sentence.
The court repeated that instruction in its formal instructions to the jury prior to argument of counsel. In his argument to the jury, the prosecutor stated:
[T]he Court has instructed you that the result of an affirmative answer, a unanimous affirmative answer to that question, is that the Court must impose the death sentence upon the defendant. So I will not try and dance around that question because that will be the result. And we are asking that you answer that question unanimously in an affirmative fashion.
The thrust of the defendant’s entire argument to the jury was on the jury's choice between life or death. The jury was well aware of its “awesome responsibility” for deciding Campbell’s fate. Clearly, the fleeting remark Campbell objects to had no effect on the jury’s sentencing decision. See Caldwell, 472 U.S. at 341, 105 S.Ct. at 2646.
B. Admission of Burglary Conviction
During the sentencing proceeding, the state introduced evidence that Campbell had been convicted of two prior felonies. The first conviction was for the assault and sodomy of Renae Wicklund in 1974 and is not challenged here. The other was a 1976 conviction for second degree burglary entered on Campbell’s plea of guilty. Campbell argues that evidence of this latter conviction should not have been admitted because the conviction was based on an invalid guilty plea.
“It is ... well-established that a sentence is subject to review if it has been enhanced in reliance on an unconstitutional conviction.” United States v. Williams, 782 F.2d 1462, 1466 (9th Cir.1986) (citing United States v. Tucker, 404 U.S. 443, 447, 92 S.Ct. 589, 591, 30 L.Ed.2d 592 (1972)). To prevail on his claim Campbell must show that (1) the prior conviction was unconstitutional and (2) his sentence was enhanced in reliance on the prior conviction. See Williams, 782 F.2d at 1466.
We need not address the first prong of this test because Campbell fails to satisfy the second prong. He has not shown that his sentence was enhanced by the jury’s reliance on the prior conviction. See Farrow v. United States, 580 F.2d 1339, 1354 (9th Cir.1978) (en banc) (recommending determination of enhancement question prior to addressing constitutionality issue). The underlying facts of this case speak for themselves. The jurors were not only confronted with the sheer savagery of the murders, but they, like the Supreme Court of Washington, must have been “hard pressed to find killings more premeditated and revengeful than those committed by defendant.” Campbell, 691 P.2d at 946. The state focused on the facts of Campbell’s crime in its case before the jury and only briefly presented the nonviolent second degree burglary conviction in the sentencing proceeding. In a case unprecedented in the state of Washington with respect to the number of aggravating factors found by the jury, see id. at 945, there is no reasonable probability that the jury relied on the 1976 burglary conviction in determining whether there were sufficient mitigating circumstances to merit leniency. See Farrow, 580 F.2d at 1355 (adopting “reasonable probability” standard).
*1462C. Effective Assistance of Counsel
Campbell contends that he was denied effective assistance of counsel by his attorneys’ failure to present mitigating evidence during the sentencing proceeding. The appropriate standards for judging Campbell’s claim are set forth in Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984).
A convicted defendant’s claim that counsel’s assistance was so defective as to require reversal of a ... death sentence has two components. First, the defendant must show that counsel’s performance was deficient. This requires showing that counsel made errors so serious that counsel was not functioning as the “counsel” guaranteed the defendant by the Sixth Amendment. Second, the defendant must show that the deficient performance prejudiced the defense. This requires showing that counsel’s errors were so serious as to deprive the defendant of a fair trial, a trial whose result is reliable. Unless a defendant makes both Showings, it cannot be said that the ... death sentence resulted from a breakdown in the adversary process that renders the result unreliable.
Id. at 687, 104 S.Ct. at 2064. In reviewing alleged deficiencies of representation, “a court must indulge a strong presumption that counsel’s conduct falls within the wide range of reasonable professional assistance.” Id. at 689, 104 S.Ct. at 2065. To establish prejudice, “[t]he defendant must show that there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the proceeding would have been different. A reasonable probability is a probability sufficient to undermine confidence in the outcome.” Id. at 694, 104 S.Ct. at 2068.
1. Deficiency of Counsel
The record amply supports the district court’s finding that the decision of Campbell’s counsel not to present mitigating evidence at the sentencing proceeding was a reasoned strategic choice falling well within “the wide range of professionally competent assistance.” Id. at 690, 104 S.Ct. at 2066. One reason for the decision not to present mitigating evidence was to avoid “opening the door” to possible damaging rebuttal evidence by the state. The record shows that the state was prepared to present a vast array of aggravating evidence in rebuttal, including the forcible rape of Campbell’s ex-wife, repeated rape and intimidation of fellow inmates, drug- and alcohol-induced violence, and the report of a psychologist that Campbell was “imminently harmful to all who directly or indirectly capture his attention or interest.” In addition, there were “reportings of sexually abhorrent conduct with animals, stranglings of animals, [and] alleged child abuse.” As one of Campbell’s attorneys testified, “[tjhere pretty much was every kind of bad thing you could imagine [that] had been represented as potential aggravating testimony to be presented by the State.”
In addition, Campbell’s counsel correctly interpreted Bartholomew’s restriction on the state’s ability to present aggravating evidence. Faced with the choice of limiting the state to a relatively tame presentation of Campbell’s prior convictions, or potentially opening the door to devastating rebuttal evidence, Campbell’s counsel chose the former route by electing not to present mitigating evidence. In one of the attorney’s words, “[presentation of those [mitigating] items in my mind would bring forth a parade of horribles that in my opinion would so far bury those factors in mitigation that any chance we had of saving his life would have been lost.” 5
Campbell also faults his attorneys for not filing motions in limine to deter*1463mine exactly what evidence the state would be able to present in rebuttal. We recognize, however, that “counsel is strongly presumed to have ... made all significant decisions in the exercise of reasonable professional judgment,” Strickland, 466 U.S. at 690, 104 S.Ct. at 2066. The record shows that Campbell’s lead counsel was very experienced — a veteran of hundreds of felony trials, including many first-degree murder cases — and was specifically engaged as co-counsel because of his past capital experience. Counsel testified that he did not file any motions in limine because, based on his education and experience, he “had a splendid idea of what was going to be allowed.” We respect that professional judgment.
Campbell next argues that counsel were ineffective because they did not thoroughly investigate all possible avenues which may have led to mitigating evidence. See Strickland, 466 U.S. at 690-91,104 S.Ct. at 2066 (counsel has a duty to make reasonable investigations or to make a reasonable decision that makes particular investigations unnecessary). The record indicates, however, that Campbell’s attorneys conducted a reasonable investigation.6 See Burger v. Kemp, — U.S.-, 107 S.Ct. 3114, 3116, 97 L.Ed.2d 638 (1987) (decision not to mount an all-out investigation into petitioner’s background was supported by reasonable professional judgment); Woratzeck v. Ricketts, 820 F.2d 1450, 1456-57 (9th Cir.1987) (counsel conducted sufficient inquiry into mitigating value of potential witness’ testimony), amended, (9th Cir. Sept. 1,1987). Counsel were well aware of the potential mitigating factors which may have been introduced at the sentencing proceedings: Campbell’s father was an alcoholic; Campbell was the victim of child abuse; he suffered from various medical problems as a young child; he had a history of drug and alcohol abuse; he had reportedly attempted suicide on one occasion; he had requested a transfer from the Everett Work Release Facility because he did not want to be near Renae Wicklund; and he was the father of two children.
Campbell does not suggest any potential mitigating evidence that could have been uncovered through a more thorough investigation. He does criticize his attorneys, however, for failing to interview his family and childhood friends, classmates, and teachers. Nevertheless, Campbell specifically requested his attorneys not to contact members of his family. The client’s wishes are not to be ignored entirely. “The reasonableness of counsel’s actions may be determined or substantially influenced by the defendant’s own statements or actions. Counsel’s actions are usually based, quite properly, on informed strategic choices made by the defendant and on information supplied by the defendant.” Strickland, 466 U.S. at 691, 104 S.Ct. at 2066. Moreover, Campbell’s wishes were again consistent with the professional judgment of his attorneys that such interviews were unnecessary and would not have made any difference in the context of this case. One counsel testified:
It is my conclusion, after reading all of the files and talking with Mr. Campbell and going through the case, that Mr. Campbell’s activities in prison were such that anything presented about his childhood was not going to make any difference. The one hope that I had in trying to save his life was that there was no evidence before the Jury that he had misconducted himself in prison. And what I hoped — obviously it didn’t work out — but what I hoped was that the Jury might spare his life because there was no evidence that he was not a model prisoner in a controlled environment.
Here, “counsel’s decision not to mount an all-out investigation into [Campbell’s] background in search of mitigating circumstances was supported by reasonable professional judgment.” Burger, 107 S.Ct. at 3126.
*1464Finally, Campbell asks this court to apply a per se rule requiring the presentation of mitigating evidence in the sentencing phase of a capital trial. Such a rule, however, would directly conflict with Strickland.
In any case presenting an ineffectiveness claim, the performance inquiry must be whether counsel’s assistance was reasonable considering all the circumstances____ No particular set of detailed rules for counsel's conduct can satisfactorily take account of the variety of circumstances faced by defense counsel or the range of legitimate decisions regarding how best to represent a criminal defendant. Any such set of rules would interfere with the constitutionally protected independence of counsel and restrict the wide latitude counsel must have in making tactical decisions.
Strickland, 466 U.S. at 688-89,104 S.Ct. at 2065. Moreover, the Supreme Court has implicitly rejected Campbell’s position by its decisions holding no constitutional error despite counsel’s failure to present any mitigating evidence. See, e.g., Burger, 107 S.Ct. at 3126; Darden v. Wainwright, 477 U.S. 187, 106 S.Ct. 2464, 2474, 91 L.Ed.2d 144 (1986).
We conclude that considering the particular circumstances of this case, including Washington’s rule of law limiting the evidence the state may present at the sentencing proceeding, the decisions of Campbell’s counsel regarding mitigating evidence meet the standard for professionally competent assistance set forth in Strickland.
2. Prejudice
Even if we were to conclude that Campbell’s counsel did not meet the Strickland competency standard, we additionally “must ask if the defendant has met the burden of showing that the decision reached would reasonably likely have been different absent the errors.” Strickland, 466 U.S. at 696, 104 S.Ct. at 2069. Campbell cannot meet this burden. He concedes that some of his potential mitigating evidence would have been met with strong rebuttal evidence from the state, but he speculates that evidence of his “background, childhood and family relationships,” and possibly evidence of his “child abuse, upbringing and drug abuse,” could have been presented without opening the door to rebuttal evidence. Even if this is the case, we agree with the district court that “given the overwhelming aggravat[ing] factors,” and “the heinous nature of the crime,” there is no reasonable likelihood that the jury’s verdict would have been different had the mitigating evidence been introduced.
D. Constitutionality of Washington’s Capital Punishment Statute
Campbell argues that Washington’s capital punishment statute is facially unconstitutional because it (1) fails to adequately channel and guide jury sentencing discretion; (2) vests unbridled discretion in the prosecutor to decide when to seek the death penalty; and (3) creates a mandatory presumption in favor of the death penalty that a defendant must overcome.
1. Adequate Guidelines to Jury
Campbell contends that the Washington Supreme Court improperly “modified” Washington’s capital punishment statute by declaring that a jury’s liberal mandate under section 10.95.070 to consider “any relevant factors” in making its sentencing determination is limited to mitigating factors. See Bartholomew, 683 P.2d at 1086-87. He argues that only the legislature can supply the necessary guidelines and that a court cannot constitutionally “cure” a defective statute.
Campbell’s contention is meritless. The Supreme Court has often relied upon state judicial constructions of death penalty statutes in reviewing such statutes for constitutionality. In Gregg, 428 U.S. at 202, 96 S.Ct. at 2938-39, the petitioner objected to the vagueness of a particular aggravating factor. In upholding the statutory provision, the Court stated that “[wjhile such a phrase might be susceptible of an overly broad interpretation, the Supreme Court of Georgia has not so construed it.” Id. Similarly, Proffitt v. Florida, 428 U.S. 242, *1465254, 96 S.Ct. 2960, 2967, 49 L.Ed.2d 913 (1976), involved a challenge to the vagueness of statutory aggravating and mitigating circumstances. The Court stated that “[t]hese provisions must be considered as they have been construed by the Supreme Court of Florida.” Id. at 255, 96 S.Ct. at 2968. In Jurek, 428 U.S. at 272, 96 S.Ct. at 2956, the Court upheld a Texas statute because the state court had interpreted the statute broadly, despite its facial narrowness, to allow consideration of “whatever mitigating circumstances [the defendant] may be able to show.” See also Chaney v. Lewis, 801 F.2d 1191, 1195 (9th Cir.1986) (“Although the statutory language is broad, ... the Arizona Supreme Court need not construe the statute open-endedly.”), cert denied, — U.S.-, 107 S.Ct. 1911, 95 L.Ed.2d 516 (1987).7
2. Prosecutorial Discretion
Campbell argues that Washington’s capital punishment statute is unconstitutional because it vests unbridled discretion in the prosecutor to decide when to seek the death penalty. That argument has been explicitly rejected by the Supreme Court. See Gregg, 428 U.S. at 199, 96 S.Ct. at 2937; Proffitt, 428 U.S. at 254, 96 S.Ct. at 2967; Jurek, 428 U.S. at 274, 96 S.Ct. at 2957. As Justice White stated in his concurring opinion in Gregg, “[a]bsent facts to the contrary, it cannot be assumed that prosecutors will be motivated in their charging decisions by factors other than the strength of their case and the likelihood that a jury would impose the death penalty if it convicts.” 428 U.S. at 225, 96 S.Ct. at 2949 (White, J., concurring).
Nothing in the Washington statute makes Justice White’s observation any less applicable here. A Washington prosecutor may not seek the death penalty unless he or she has “reason to believe that there are not sufficient mitigating circumstances to merit leniency.” Wash.Rev.Code § 10.95.-040(1); Campbell, 691 P.2d at 943. Campbell’s contention that the statute guides and restrains the prosecutor in decisions not to seek the death penalty, but not in decisions to seek the death penalty, is, as the state asserts, “semantical at best.” The same is true of Campbell’s attempt to distinguish Gregg, Proffitt, and Jurek. For purposes of prosecutorial discretion, the practical effect of the various statutes is the same. See, e.g., Jurek, 428 U.S. at 270, 96 S.Ct. at 2955 (involving a statute like Washington’s which requires proof of aggravating factor at guilt phase rather than penalty phase).
3. Mandatory Presumption/Burden on Defendant
Campbell argues the Washington capital punishment statute creates a mandatory presumption in favor of the death penalty and places the burden on the defendant to prove there are sufficient mitigating circumstances to merit leniency. The language of the statute and the construction placed on the statute by the Washington Supreme Court belie these contentions. Under the Washington scheme, a death sentence may be imposed only for aggravated first degree murder, after the jury finds a statutory aggravating circumstance beyond a reasonable doubt at the guilt phase of the trial. Wash.Rev.Code §§ 10.95.020-030. At the penalty phase, the jury is required to deliberate on the following question: “Having in mind the crime of which the defendant has been found guilty, are you convinced beyond a reasonable doubt that there are not suffi*1466dent mitigating circumstances to merit leniency?” Wash.Rev.Code § 10.95.060(4) (emphasis added). Evidence from the guilt phase carries over to the penalty phase. Wash.Rev.Code § 10.95.060(3); Campbell, 691 P.2d at 951 (Rosellini, J., concurring).
The language of the statute clearly indicates that the burden of proof is on the state to “convince” the jury beyond a reasonable doubt that there are not sufficient mitigating circumstances to merit leniency. Wash.Rev.Code § 10.95.060(4). Campbell’s apparent contention that “convince” does not mean the same thing as “prove” has been rejected by the Washington Supreme Court. See State v. Mak, 105 Wash.2d 692, 718 P.2d 407, 444 (construing section 10.95.-060(4) to place the burden of proof on the state, and suggesting that an instruction expressing the state’s burden in terms of “proving” rather than “convincing” may be more appropriate), cert, denied, — U.S. -, 107 S.Ct. 599, 93 L.Ed.2d 599 (1986); see also State v. Rupe, 101 Wash.2d 664, 683 P.2d 571, 593 (1984) (rejecting similar burden of proof argument). Moreover, the trial judge specifically instructed the jury at Campbell’s sentencing proceeding that the state had the burden of proof:
During these special sentencing proceedings, the State bears the burden of proving beyond a reasonable doubt that there are not sufficient mitigating circumstances to merit leniency.
The law of this state presumes that a defendant enters the special sentencing meriting leniency, that is a sentence of life in prison without possibility of parole. This presumption continues throughout the entire proceeding unless you find it has been overcome by the evidence beyond a reasonable doubt.
As the instruction indicates, the state’s burden of proof carries with it a presumption of leniency, a presumption which the state can overcome only by showing beyond a reasonable doubt that there are not sufficient mitigating circumstances to merit leniency. Campbell contends instead that the statute creates a mandatory presumption in favor of the death penalty (and a corresponding burden on the defendant to produce evidence of mitigating circumstances) because the statute “compels the jury to return a verdict of death” whenever the defendant fails to present any mitigating evidence at the sentencing proceeding. This argument ignores the fact that the sentencing jury has before it all the evidence from the guilt phase, including whatever mitigating evidence may have been presented by the defendant at the guilt phase. The jury’s decision is not based solely on what is presented at the sentencing proceeding. Moreover, even if the defendant never introduced any mitigating circumstances at either phase of the trial, the state still bears the burden of overcoming the presumption of leniency, and the jury is free to consider “any relevant [mitigating] factors” in making its sentencing determination. Bartholomew, 683 P.2d at 1086-87.
Campbell’s reliance on Mak, 718 P.2d at 444, is misplaced. That case simply states that there is no constitutional right to a presumption of leniency, It does not hold that there is no presumption of leniency created by the Washington statute. On the contrary, Mak says explicitly that the state bears the burden of proof on the issue. Id. That burden of proof necessarily carries with it a presumption in favor of the defendant.
Consistent with Lockett, 438 U.S. at 602-OS, 98 S.Ct. at 2963-67, the Washington statute imposes no limits on the mitigating evidence a capital defendant may introduce at a sentencing proceeding, subject, of course, to minimal standards of probative value and relevance. Bartholomew, 683 P.2d at 1088. The statute also imposes upon the state the burden of proof at such a proceeding. The defendant cannot manufacture a “presumption of death” simply because he chooses not to present mitigating evidence. The jury in Campbell’s case was properly instructed on the state's burden of proof and the presumption of leniency in accordance with Washington law.
*1467CONCLUSION
We reject Campbell’s arguments.8 The judgment of the district court is affirmed in its entirety.
. The state contends that Campbell is procedurally barred from attacking the prosecutor’s comments, the admissibility of the prior conviction, and at least one theory that Washington’s capital punishment statute is unconstitutional. The state argues that Campbell failed to raise these arguments before the Washington Supreme
Court on direct appeal. See Wainwright v. Sykes, 433 U.S. 72, 86-87, 97 S.Ct. 2497, 2506-07, 53 L.Ed.2d 594 (1977) (state procedural default may bar federal habeas review absent a showing of cause and prejudice). The record shows, however, that Campbell did present these issues to the Washington Supreme Court by way of a motion for stay of execution. The Washington Supreme Court’s order denying Campbell’s motion for stay of execution appears to be a deci*1456sion on the merits. Since we reach these issues presented by Campbell, we need not address Campbell's argument that the state waived its procedural bar argument by failing to appeal or cross appeal the District Court rulings.
We decline to reach, however, Campbell’s argument made for the first time at oral argument that the prosecutor allegedly improperly commented on Campbell’s failure to present evidence at the penalty phase of the trial. The record in this case indicates that Campbell did not object to the comments at trial. More important, nothing in the record shows that he previously presented his argument to any court, state or federal. Under such circumstances we will not consider his contention raised for the first time at oral argument. See Ross v. Hopper, 716 F.2d 1528, 1535 (11th Cir.1983) (on habeas review of a death penalty, court declines to consider an issue raised for the first time on appeal); Spivey v. Zant, 661 F.2d 464, 477 (5th Cir.1981) (same).
. Wash.Rev.Code § 10.95.040 provides:
(1) If a person is charged with aggravated first degree murder ..., the prosecuting attorney shall file written notice of a special sentencing proceeding to determine whether or not the death penalty should be imposed when there is reason to believe that there are not sufficient mitigating circumstances to merit leniency.
(2) The notice of special sentencing proceeding shall be filed and served on the defendant or the defendant's attorney within thirty days after the defendant's arraignment upon the charge of aggravated first degree murder—
(3) If a notice of special sentencing proceeding is not filed and served as provided in this section, the prosecuting attorney may not request the death penalty.
. Under the Washington capital sentencing scheme, the jury considers aggravating factors at the guilt phase of the trial rather than at the penalty phase. The death penalty may be imposed only for aggravated first degree murder, which requires proof at the guilt phase of all the elements of first degree murder and one or more enumerated aggravating circumstances. Wash.Rev.Code § 10.95.020.
. Furthermore, we also conclude that the remarks of the prosecutor do not rise to the level of rendering Campbell's sentencing proceeding "fundamentally unfair." Campbell's reliance on People v. Holman, 103 Ill.2d 133, 82 Ill.Dec. 585, 469 N.E.2d 119 (1984), cert, denied, 469 U.S. 1220, 105 S.Ct. 1204, 84 L.Ed.2d 347 (1985), and Hance v. Zant, 696 F.2d 940 (11th Cir.), cert, denied, 463 U.S. 1210, 103 S.Ct. 3544, 77 L.Ed.2d 1393 (1983), is misplaced. In both cases death sentences were reversed on the ground of prosecutorial misconduct in closing argument. It is readily apparent, however, that those cases involved far more egregious prosecutorial misconduct than is allegedly involved here. See Holman, 469 N.E.2d at 133 (prosecutor stating that if the jury chose not to impose the death penalty it would be "guaranteeing down the road future innocent victims will be slaughtered”); Hance, 696 F.2d at 951-52 (involving an extended and inflammatory "appeal to gut emotion").
In Brooks v. Kemp, 762 F.2d 1383 (11th Cir. 1985) (en banc), vacated and remanded on other grounds, — U.S. -, 106 S.Ct. 3325, 92 L.Ed.2d 732 (1986), and Tucker v. Kemp, 762 F.2d 1496, 1504 (11th Cir.1985) (en banc), cert. denied, — U.S.-, 106 S.Ct. 3340, 92 L.Ed.2d 743 (1986), the Eleventh Circuit upheld death sentences in the face of claims of prosecutorial misconduct in closing argument. Both arguments included comments regarding the threat of death to prison officials, together with many other inflammatory remarks. See Brooks, 762 F.2d at 1394-98; Tucker, 762 F.2d at 1505-08. The prosecutor’s argument in Campbell’s sentencing proceeding pales in comparison to the arguments upheld in those cases.
. Campbell also argues that his attorneys should not have accepted his decision not to present mitigating evidence at the sentencing proceeding. One attorney testifed that Campbell’s wish not to have any mitigating evidence presented was a "determinative factor.” We need not decide, however, whether a decision not to present mitigating evidence which is based solely on the client’s wishes is unconstitutional. The record here is clear that the decision to forgo presentation of mitigating evidence was a joint decision ultimately based on legitimate strategic considerations. To accord deference to Campbell’s desires when they coincided with those strategic considerations certainly was not improper.
. Counsel reviewed voluminous records from the state department of corrections and juvenile courts, files from Campbell’s previous attorneys, and reports from an investigator who interviewed a number of persons who were familiar with Campbell, including a psychiatrist who had examined Campbell and various prison officials. In addition, counsel conducted many interviews with Campbell and interviewed one of Campbell’s former prison cellmates.
. Our decision in United States v. Harper, 729 F.2d 1216 (9th Cir.1984), is distinguishable. There we struck down the death penalty provision of the federal espionage statute because it provided no statutory guidelines to control the sentencer's discretion in determining when to impose the death penalty. Id. at 1224-26. We concluded that the statute "cannot be saved by judicial formulation of the missing, but essential, statutory guidelines." Id. at 1226. But in that case, the district court read the statute as delegating to district courts as sentencers the authority to formulate and apply guidelines on an ad hoc basis. Id. at 1219. Moreover, the Harper statute provided no guidance to the sentencing authority at all, while the Washington capital punishment statute has several provisions limiting and guiding the discretion of the jury. See Wash.Rev.Stat. §§ 10.95.020 (aggravating factors), 10.95.060 (instructions to jury and ultimate question to be answered), 10.95.-070 (sentencing factors).
. Campbell lists an issue in his appellate brief concerning the effectiveness of counsel in his direct appeal in state court. He made no argument regarding this issue, however, in his briefs. In any event, the argument is meritless. Presumably Campbell's contention coincides with issues raised in his Amended Petition for Writ of Habeas Corpus relating to his attorneys’ failure to raise certain issues on direct appeal. These issues were presented, however, to the state court in Campbell's subsequent personal restraint petition. Because the state court disposed of these issues by denying the personal restraint petition, Campbell can show no prejudice from his attorneys’ failure to raise the issues on direct appeal.
Campbell also complains that his due process rights were denied by our 75-page limitation of his appellate brief. Our review of the briefs indicates that this limitation did not infringe Campbell's constitutional rights.