delivered the Opinion of the Court.
T1 In this opinion, we review People v. Smith, 312 P.3d 1178 (Colo.App.2010), a court of appeals decision analyzing the seope of a trial court's discretion when awarding credit for presentence confinement against a jail sentence imposed as a condition of probation. In Smith, the court of appeals held that the trial court abused its discretion when it awarded Smith, a felony offender, only a portion of his presentence confinement *474credit ("PSCC") 1 against a jail term imposed as. a condition of probation. 312 P.3d at 1180-81. The court of appeals concluded that while the trial court was not required to award PSCC against a jail term imposed as a condition of probation, if the trial court chose to award PSCC, it had to award PSCC equal to the full amount of time served. Id. at 1181.
T2 We disagree. We hold that the statutory provision governing PSCC for a felony offense, section 18-1.3-405, C.R.S. (2013), does not apply to probation, and therefore does not apply to the jail component of a probation sentence. Because a trial court is not constrained by section 18-1.3-405 when sentencing an offender to probation with a jail component, whether to credit an offender for presentence confinement-in full, in part, or not at all-is within the trial court's discretion. Accordingly, we reverse and we remand for proceedings consistent with this opinion.
I. Facts and Procedural History
T3 Spencer Smith broke into the victim's apartment carrying a concealed shotgun. He claimed that he went to the apartment to collect on a debt. A jury found Smith guilty of first-degree criminal trespass. He was sentenced to three years of intensive supervised probation. As a condition of his probation, the trial court ordered Smith to serve 30 days in the county jail to impress upon Smith the severity of his crime. The trial court noted that the defendant had already served county jail time at the time of sentencing but determined that additional jail time was warranted due to the use of a weapon:
The Court does feel there's a need for a punitive sanction, and the Court is going to sentence the defendant to 80 days at the Larimer County Detention Center.
I do note the defendant previously served 89 days, but the Court feels it's appropriate that the defendant serve 80 days straight time at the Larimer County Detention Center. The Court ... simply wants to make sure the defendant understands that the use of weapons in situations like this just cannot be tolerated.
Defense counsel objected, stating: "[The] maximum that the Court can impose as a condition of probation is 90 days." The trial court overruled the objection, stating: "I'm not giving the defendant credit for all of the 89 days that he previously served. I'll give him eredit for 60 days and impose the balance of 90 days then."
T 4 Smith appealed the denial of 29 days of PSCC. He argued that the felony PSCC statute, section 18-1.3-405, mandates that a court apply the full 89 days of credit against a jail term imposed as a condition of probation. In the alternative, he argued that the trial court's interpretation of the PSCC statute violated his equal protection rights.
T5 The court of appeals reversed the trial court, concluding that while the trial court had discretion not to award any PSCC to a jail sentence imposed as a condition of felony probation, if the trial court decided to award PSCC, it did not have discretion to award less than the full amount of PSCC. Smith, 312 P.3d at 1180-81. In short, the court of appeals held that a trial court sentencing a felony offender to probation only has the discretion either to apply full PSCC or to apply no PSCC to a jail sentence imposed as a condition of probation. Id.
16 We granted certiorari to address the question of whether an offender is entitled to have the jail component of his probation sentence reduced by the period of presentence confinement.2
IIL - Analysis
T7 To resolve this issue we first examine our precedent regarding the seope of the trial court's authority when sentencing a con-*475vieted offender to probation under the probation statute, section 18-1.3-202, C.RS. (2018). Next, we evaluate the statutory framework underlying an award of PSCC for a felony offense, section 18-1.8-405, to determine whether the statute requires a trial court, when sentencing an offender to probation that includes a jail component, to credit an offender for presentence confinement in a certain amount.
A. Jail as a Condition of Probation
T8 Probation is an alternative to a prison sentence. § 18-1.3-104, C.R.S. (2018); Danielson v. Dennis, 139 P.3d 688, 693 (Colo.2006). The legislature created these sentencing alternatives because incarceration and probation serve different purposes. People v. Martinez, 844 P.2d 1203, 1206 (Colo.App.1992). A prison sentence is primarily punitive. Id. By contrast, probation is intended to be rehabilitative. Logan v. People for Use of Alamosa Cnty., 138 Colo. 304, 807, 332 P.2d 897, 899 (1958). Because probation is an opportunity for an offender to avoid serving a harsher sentence, an offender must apply for it, and receipt of probation is characterized as a privilege, not a right. Holdren v. People, 168 Colo. 474, 478, 452 P.2d 28, 30 (1969). An offender also must choose to accept the court's terms; the court may not impose a sentence of probation without the offender's consent. People v. Rollins, 771 P.2d 32, 33-34 (Colo.App.1989). If the offender rejects probation, the court may sentence the offender to imprisonment under section 18-1.3-104.
19 The court's general authority to grant an offender probation comes from seetion 18-1.83-202. As such, the court may impose any conditions on the offender's probation that are authorized by the statute. People v. Brockelman, 933 P.2d 1315, 1318 (Colo.1997). Under the statute, a court has broad discretion to impose whatever conditions it considers appropriate to ensure that the offender leads a law-abiding life: "[TJhe court may grant the defendant probation for such period and upon such terms and conditions as it deems best." § 18-1.3-202; Brockelman, 933 P.2d at 1318-19. A condition will only be considered outside of the scope of the court's authority if it is not reasonably related to encouraging the offender to lead a law-abiding life. Brockelman, 933 P.2d at 1319.
110 A court's broad discretion to impose conditions on the probation sentence that it deems suitable for encouraging rehabilitation includes the option to impose a jail sentence. For an offender convicted of a felony, the court may impose up to 90 days of jail time as a term of probation:
In addition to imposing other conditions, the court has the power to commit the defendant to any jail operated by the county or city and county in which the offense was committed during such time or for such intervals within the period of probation as the court determines. The aggregate length of any such commitment whether continuous or at designated intervals shall not exceed ninety days for a felony....
§ 18-1.3-202. A short jail sentence is a justifiable condition of probation because it encourages the offender to be law-abiding by "impress[ing] upon the offender that the conduct underlying the offense of conviction is unlawful and could have resulted in a longer term of total confinement." Sentencing to Total Confinement, ABA Standards of Criminal Justice § 18-6.4(a)(iv) (8d ed. 1994). In this sense, jail as a condition of probation is used as a deterrent.
{11 In this case, the trial court did not exceed its authority under the probation statute by imposing a jail term of 90 days. The court was authorized to impose up to 90 days because the purpose of the jail term was to deter future ilegal activity. See Faulkner v. Dist. Court, 826 P.2d 1277, 1280 (Colo.1992) ("[When a court sentences a defendant to probation with a condition of jail time, the purpose is usually ... to deter future illegal activity...."). The trial court explained that, in its discretion, it thought that a jail term was a necessary condition of probation because it would impress upon Smith that it was not appropriate to bring a weapon to collect on a debt. Hence, the court was authorized to impose the 90-day jail sentence.
*476{ 12 Having concluded that the trial court acted within its authority under the probation statute, we next consider if the court is nevertheless constrained by section 18-1.3-405 in applying credit for presentence confinement.
B. Presentence Confinement Credit and Probation
113 Whether section 18-1.3-405 requires that PSCC be applied to a jail term imposed as a condition of probation is a question of statutory interpretation. In interpreting a statute, we first consider its plain language and construe words and phrases according to the rules of grammar and common usage. § 24-101, C.R.S. (2013); Jefferson Cnty. Bd. of Equalization v. Gerganoff, 241 P.3d 932, 935 (Colo.2010). When the language of a statute is clear, we apply the statute as written. Specialty Rests. Corp. v. Nelson, 231 P.8d 393, 397 (Colo. 2010). We do not add words to a statute. Boulder Cnty. Bd. of Comm'rs v. Health-South Corp., 246 P.3d 948, 951 (Colo.2011).
T14 The statute in question, section 18-1.3-405, directs the trial court to record the amount of a felony offender's presentence confinement on the mittimus and directs the department of corrections ("DOC") to deduct the period of confinement appearing on the mittimus from the offender's sentence:
A person who is confined for an offense prior to the imposition of sentence for said offense is entitled to credit against the term of his or her sentence for the entire period of such confinement. At the time of sentencing, the court shall make a finding of the amount of presentence confinement to which the offender is entitled and shall include such finding in the mittimus. The period of confinement shall be deducted from the sentence by the department of corrections.
(Emphasis added.) The language of section 18-1.3-405 makes it clear that when a court sentences an offender to DOC, the court's only role is to calculate the amount of presentence confinement. Edwards v. People, 196 P.3d 1188, 1144 (Colo.2008). The court has no discretion to grant or deny the offender PSCC when the offender is sentenced to the DOC; only the DOC deducts PSCC from the sentence. Id.; Castro v. Dist. Court, 656 P.2d 1283, 1284 (Colo.1982).
115 The key, however, is that seetion 18-1.8-405 applies only when an offender is sentenced to DOC (or to jail for a misdemeanor - under - section - 18-1.3-509, C.R.S. (2018) 3). It has no application to an offender, like Smith, who has been sentenced to probation under section 18-1.3-202. In other words, the requirement that an offender receive PSCC does not apply to probationary sentences, even when those probationary sentences include a jail component. As a result, an offender who is sentenced to county jail as a condition of probation has no right to be credited for presentence confine ment under section 18-1.3-405. Whether to credit an offender for such presentence confinement is committed to the discretion of the trial court.
1 16 Importantly, we have never held that when exercising its discretion to award credit for presentence confinement, the trial court must award all or none of it. Imposing such a limit would also be contrary to the probation program's mandate that judges have broad discretion to fashion an appropriate probation sentence that will most effectively rehabilitate the offender. See supra Part ILA.
{17 Finally, despite Smith's argument otherwise, this holding is consistent with our mandate in People v. Johnson, 797 P.2d 1296, 1299 (Colo.1990), that the court award full but not duplicative credit. In that case, the defendant, Johnson, pled guilty to a misdemeanor and a felony offense. The trial court sentenced Johnson to serve consecutive terms in county jail for the misdemean- or and also in DOC for the felony. When sentencing Johnson, the trial court credited his presentence confinement time against his sentence to county jail. Id. at 1297. We affirmed the trial court's decision and held *477that because there was a sentence to DOC, the statute required that the offender receive full PSCC. Id. at 1299. Additionally, we held that the court had discretion to award the PSCC against the county jail sentence and that the offender was not also entitled to receive credit against his sentence to DOC. Id. Henee, that decision only requires that if sentenced to DOC, the offender receive full PSCC. The decision does not compel the conclusion that if a court awards PSCC against a county jail sentence imposed as a condition of probation, that court must award credit equal to the full amount of pre-sentence confinement.
118 In sum, section 18-1.8-405 does not require the trial court to give Smith credit for 89 days against the jail term imposed as a condition of probation because that is a sentence to probation. However, if a court were to revoke Smith's probation and resentence him to DOC, the statute and our precedent would require that any PSCC remaining be applied against his sentence to DOC so that he receives full PSCC.4
III. Conclusion
119 We hold that when sentencing an offender to probation, the trial court has discretion to award less than the full amount of presentence confinement against a jail sentence imposed as a condition of probation. We therefore reverse the judgment of the court of appeals and remand for proceedings consistent with this opinion.
JUSTICE HOOD concurs in the judgment.. PSCC refers to the time credit that a person earns while in jail awaiting sentencing on an offense and unable to post bail. Edwards v. People, 196 P.3d 1138, 1139 (Colo.2008).
. We granted certiorari to consider, specifically:
Whether the court of appeals erred in holding that the defendant was entitled to have the jail component of his sentence to probation reduced by the period of his presentence confinement, and whether it erred in ordering modification of the defendant's mittimus rather than permitting the trial court to resentence him.
. After our decision in Castro, the General Assembly enacted section 18-1.3-509, which provides that misdemeanor offenders who have been confined prior to sentencing are entitled to PSCC against a county jail sentence. See 2007 Colo. Sess. Laws 557-58.
. - We also reject Smith's argument that our holding today violates his equal protection rights. Because probation is an alternative sentence to which the defendant may (or may not) consent, the offender remains subject to the same minimum and maximum statutory sentences, and thus, equal protection is satisfied. See, e.g., People v. Garberding, 787 P.2d 154, 157 (Colo.1990) ("Equal protection requires only that the minimum and maximum sentences imposed by the statute-not the judge-are the same for all persons charged with the same or similar offenses; the individual treatment of each defendant within the limits of the sentence provided is within the sentencing court's discretion.").