The defendant, Stanley D. Chance, appeals1 from judgments of conviction rendered by the trial court after a juiy found him guilty of both arson in the first degree in violation of General Statutes § 53a-1112 and assault of a correctional officer in violation of General Statutes § 53a-167c.3 The defendant claims that *34the trial court improperly: (1) denied his request for a severance; (2) refused to instruct the jury on a lesser offense than arson in the first degree; (3) permitted a defense witness to be impeached with the fact that he had filed several lawsuits challenging the constitutionality of his treatment by prison authorities; (4) allowed the state to question him about three prior acts of alleged misconduct; (5) denied his request for a psychiatric examination in accordance with General Statutes § 17a-566; and (6) instructed the jury on the definition of reasonable doubt. The defendant also contends that certain comments made by the prosecutor during his closing argument to the jury deprived him of a fair trial. We reject all of the defendant’s claims and affirm both judgments of conviction.4
The jury reasonably could have found the following facts. At all times relevant to this appeal, the defendant was an inmate at the New Haven correctional center. On February 2, 1993, he was transferred from a dormitory unit in that facility to a cell in the protective custody unit. At dinner hour that same day, correctional officer Tanya Mercoucheff, who was on duty in the defendant’s cellblock, opened the doors of the cells in that block so that the inmates who wished to eat could proceed to the day room, where dinner was being served. The defendant, however, remained in his cell during the dinner period and, therefore, did not eat.
*35After the other inmates in his block had returned to their cells from dinner, the defendant set fire to a piece of paper in his cell. Several correctional officers responded and extinguished the fire. Mercoucheff then went to the defendant’s cell to determine why he had set the fire. The defendant told Mercoucheff that he had done so to draw attention to the fact that the door to his cell had not been opened at the dinner hour and that, consequently, he had been unable to leave his cell to eat. Mercoucheff informed the defendant that she had, in fact, opened his cell and that it was too late for him to eat dinner that evening.
Shortly after his conversation with Mercoucheff, the defendant asked another inmate to tell Mercoucheff that if he was not promptly served dinner, he would “light the [expletive] on fire.”5 A few minutes later, the defendant, having received no response to his demand, set his mattress on fire. This fire, which also was extinguished by prison personnel, necessitated the evacuation of the other inmates on the cellblock and caused smoke damage to the wall of the defendant’s cell.
That evening, the defendant was removed from his cell in the protective custody unit and placed in the institution’s segregation unit. Later that night, the defendant gave a signed statement regarding the fire6 to state police troopers Philip Pilletere and Warren Hyatt, both of whom had been assigned to investigate the incident. In his statement, the defendant admitted to having set his mattress on fire in protest over the fact that he had not been served dinner. The defendant subsequently was charged with arson in the first degree.
Several days later, on the afternoon of February 7, 1993, Mercoucheff, who was on duty in the segregation *36unit, conducted a head count in the defendant’s cell-block. This task required her to inspect each cell visually to confirm that each inmate was present. As Mercoucheff looked through the screened window in the door of the defendant’s cell to confirm that the defendant was present, she was struck in the mouth, eyes, hair and chest with urine thrown from the defendant’s cell. Later that day, the defendant admitted to Lieutenant Melvin Wells, the supervisory correctional official on duty, that he had thrown the urine. The defendant claimed, however, that he had intended to strike an inmate across the hall rather than Mercoucheff. The defendant further explained that the urine had accidentally struck Mercoucheff when, coincidentally, she had appeared in front of his cell at the precise moment that he had thrown it.7 As a result of this incident, the state charged the defendant with assault of a correctional officer under § 53a-167c.
The trial court, over the defendant’s objection, granted the state’s motion to consolidate the arson and assault counts for trial. At the request of the defendant, however, the court also ordered a bifurcation of the evidentiary portion of the trial, requiring the state and the defendant first to present all of their evidence on the arson charge, to be followed by the evidence on the assault charge.
Thereafter, trial commenced. After the state had rested its case on the arson count, the defendant testified in his own defense with respect to that count. During his testimony, the defendant stated that he previously had been convicted of eleven felonies, four of which involved larcenies, “basically” for “stealing cars.”8 The state then proceeded with its evidence on *37the assault count, at the conclusion of which the defendant informed the court that he elected not to testify with respect to that charge.
After all of the evidence had been presented in both cases, the defendant renewed his objection to the consolidation of the two charges for trial, claiming that the jury reasonably could not be expected to disregard his eleven prior felony convictions, which were admissible only in regard to the arson charge, in its consideration of the assault charge. The trial court again denied the defendant’s severance request and proceeded to charge the jury, which found the defendant guilty of both charges. Additional facts and procedural background will be provided as necessary.
I
The defendant first claims that the trial court improperly consolidated the arson and assault charges for trial. Specifically, he argues that he is entitled to a new trial: (1) on the arson charge, because the state’s evidence on the assault charge, which was unrelated to and inadmissible in regard to the arson charge, severely prejudiced him in his defense of the arson charge; and (2) on the assault charge, because the evidence of his eleven prior felony convictions, which was admissible only for impeachment as to the arson charge, severely prejudiced him in his defense of the assault charge. We are not persuaded.
Our review of a criminal defendant’s claim of error concerning the consolidation of charges for trial involves the question of whether the trial court abused its discretion in failing to conclude that the defendant would suffer “substantial injustice” if the two charges were adjudicated in a single trial. State v. Boscarino, *38204 Conn. 714, 721, 529 A.2d 1260 (1987). We have consistently recognized a “clear . . . presumption ... in favor of joinder and against severance. State v. Boscarino, [supra, 721].” State v. Jones, 234 Conn. 324, 344, 662 A.2d 1199 (1995). “The grant or denial of a motion for severance rests in the sound discretion of the trial judge. State v. Jonas, [169 Conn. 566, 570, 363 A.2d 1378 (1975), cert. denied, 424 U.S. 923, 96 S. Ct. 1132, 47 L. Ed. 2d 331 (1976)]; State v. Silver, [139 Conn. 234, 240, 93 A.2d 154 (1952)]; State v. Klein, [97 Conn. 321, 324, 116 A. 596 (1922)]. Consistent with this discretion, which is broad, an accused bears a heavy burden to show that the denial of severance resulted in substantial injustice because of a manifest abuse of discretion in denying severance. United States v. Morrow, 537 F.2d 120, 134 (5th Cir. 1976), cert. denied sub nom. Martin v. United States, 430 U.S. 956, 97 S. Ct. 1602, 51 L. Ed. 2d 806 (1977); State v. Jonas, supra, 570; State v. Oliver, [161 Conn. 348, 361, 288 A.2d 81 (1971)]; Commonwealth v. Gallison, [383 Mass. 659, 671, 421 N.E.2d 757 (1981)].” State v. King, 187 Conn. 292, 302, 445 A.2d 901 (1982). The burden includes a showing that any prejudice from joinder “was beyond the curative power of the court’s instructions.” (Internal quotation marks omitted.) State v. Boscarino, supra, 721. We conclude that the defendant has not met his heavy burden on either of his two claims relating to alleged impropriety in the consolidation of the two charges against him.
The following additional facts and procedural history are necessary to our resolution of the issues presented by the defendant’s claim. Before trial, the state moved for joinder of the arson and assault charges. The defendant objected to consolidation of the charges for trial, claiming, inter aha, that the conduct underlying the assault charge was so shocking that the state’s evidence of that charge would unduly prejudice him as to the arson charge, and that joinder would unfairly interfere *39with his right both to testify as to the arson charge and not to testify in regard to the assault charge. The trial court overruled the defendant’s objection to the state’s consolidation motion.
Several days after the trial court’s ruling on the state’s motion for consolidation, the state disclosed to the defendant inculpatory evidence pertaining to the assault charge. Specifically, the state informed the defendant that it intended to elicit testimony from Pilletere that, while Pilletere was questioning the defendant about the alleged arson, Mercoucheff walked by the interview room, prompting the defendant to exclaim, “[Tjhere goes that bitch, I’m going to get her,” or words to that effect.9 Upon receipt of this information, the defendant renewed his objection to the consolidation of the assault and arson charges for trial on the theory that the threat, inadmissible as to the arson charge, would be “one more act of misconduct that is going to taint [the defendant’s] fair trial on the charge of arson.” The trial court again overruled the defendant’s objection to consolidation, and trial thereafter began.
At the conclusion of the state’s evidence on the arson charge, the defendant testified in his own defense with respect to the arson.10 He admitted that he had set fire to his mattress on February 2, but insisted that he had done so only with the intent to gain the attention of prison officials, not intending to destroy or to damage the prison facility. The defendant also acknowledged that he had previously been convicted of eleven felonies, including four for larceny.11
*40After the completion of the defense case with respect to the arson charge, the defendant failed to renew his objection to the consolidation of the charges for trial. The state then presented its case-in-chief as to the assault charge. As part of that case, one of the state’s witnesses, Wells, testified concerning his conversation with the defendant, reciting for the jury the defendant’s exculpatory version of the urine-throwing incident.12 The state did not introduce the alleged threat that the defendant had made toward Mercoucheff. Once the state had completed its case, the defendant informed the court that he wished neither to testify nor to present any other form of defense as to the assault charge.
At that point, in advance of the formal jury instructions, the court reminded the jury that it was dealing with two distinct cases. The court also emphasized to the jury that the defendant did not have to put on any evidence at all but could leave the state to its proof as the defendant had done in the assault case. Further, the court reminded the jury that it should draw no adverse inference from the defendant’s failure to present a defense in one case even though he had presented a defense in the other. The jury was then excused so that, before the formal jury instructions were given, a record of the charging conference could be created.
At that point, the defendant renewed his objection to the consolidation of the two charges for trial. His objection was twofold: (1) he had been prejudiced by the fact that a defense had been presented as to one charge but not as to the other; and (2) he had been prejudiced as to the assault charge because the jury had been made aware of his eleven prior convictions during the arson case. He claimed that if the trials had not been consolidated, a jury empaneled for the assault *41case would not have heard evidence of his prior convictions if he did not testify.13 Never subsequent to his original objection to consolidation did the defendant claim that, as a result of the consolidation, he was being or had been deprived of a meaningful choice as to whether to testify. The trial court again overruled the defendant’s objection to consolidation and proceeded to charge the jury.
In its charge, the trial court instructed the jury that it was to consider the defendant’s prior felony convictions for impeachment purposes only and that it was “not permitted to infer, based upon the defendant’s felony convictions, that he was any more likely to commit the offenses charged in these cases.” The jury also was instructed that “no unfavorable inference may be drawn from the fact that the defendant . . . chose to testify in the arson case and not in [the assault] case. His decision to exercise his right in one case must have no impact on the other. . . . You must not permit such a fact to weigh in the slightest degree against the defendant . . . .” Lastly, the jury was twice instructed not to consider the evidence presented on one charge in its deliberations on the other charge.14
*42A
The defendant first claims that the evidence introduced by the state on the assault charge so prejudiced him in his defense of the arson charge that, notwithstanding the trial court’s limiting instructions, he is entitled to a new trial on the arson count. We do not agree.
We have stated that severance may be necessary to prevent undue prejudice resulting from the consolidation of two or more charges for trial when: (1) the cases do not involve discrete, easily distinguishable factual scenarios; (2) one or more of the counts alleges brutal or shocking conduct by the accused; or (3) the trial is one of long duration or very complex. State v. Boscarino, supra, 204 Conn. 722-24; see also State v. Jennings, 216 Conn. 647, 657-58, 583 A.2d 915 (1990). Whether to grant a severance, however, is a decision committed to the sound discretion of the trial court, the exercise of which will not be disturbed on appeal absent manifest abuse. State v. Jennings, supra, 657; State v. Boscarino, supra, 721. Finally, “[i]t is the defendant’s burden on appeal to show that the denial of severance resulted in substantial injustice, and that any resulting prejudice was beyond the curative power of the court’s instructions.” (Internal quotation marks omitted.) State v. *43 Boscarino, supra, 721. We conclude that the trial court’s refusal to sever the trial of the assault charge from that of the arson charge did not unduly prejudice the defendant.
First, the two charges were clearly distinguishable and arose from two discrete incidents that occurred several days apart. Further, there was no evidence presented at trial likely to have confused the two events in the minds of the jurors. Moreover, any remote possibility of confusion was eliminated by the trial court’s order requiring that evidence in the arson case be presented first, followed by evidence in the assault case. Second, although the conduct underlying the assault charge was certainly distasteful, we cannot say that it was “brutal or shocking” as contemplated in Boscarino. See State v. Herring, 210 Conn. 78, 97, 554 A.2d 686, cert. denied, 492 U.S. 912, 109 S. Ct. 3230, 106 L. Ed. 2d 579 (1989) (two murders, each involving multiple gunshot wounds and occurring during or after commission of robbery, not so “brutal and shocking” as to require severance). Thus, there is no reason to conclude that the evidence presented on the assault charge was likely to have inflamed the emotions of the jury so that it could not render a fair verdict in the arson case. See, e.g., State v. Silver, supra, 139 Conn. 240 (severance appropriate when crimes involve brutality “that is apt to arouse the passion of the jury against [the defendant]”). Third, the issues presented by the two cases were simple and straightforward, and the evidence adduced at trial, which was completed in fewer than five trial days, was similarly uncomplicated. Finally, the trial court properly instructed the jurynotto consider the evidence adduced by the state on the assault charge in its deliberations on the arson charge. Accordingly, consolidation of the two cases did not unduly prejudice the defendant in his defense of the arson charge.
*44B
The defendant also raises the interrelated claims that consolidation adversely affected his free choice as to whether to testify in his own defense, and that the admission of his prior felony record for impeachment purposes in the arson case rendered the jury unable to reach a fair and impartial verdict on the assault charge despite extensive instructions by the trial court. We are not persuaded.
In order properly to resolve the complex issues involved in the defendant’s claims, we must recognize that the defendant’s objection to consolidation evolved and changed significantly over the course of the trial. Before trial, the defendant argued that his free choice with respect to whether to testify would be infringed if the charges were consolidated for trial because, at that point, he claimed that he wished to testify as to the arson charge but not as to the assault charge. After trial, the defendant did not claim that his choice of whether to testify was infringed or indeed that his decision as to whether to testify would have been affected at all had the charges not been consolidated for trial. Rather, he claimed only that in the assault case the jurors would necessarily have been prejudiced against him irreparably because they had become aware of his felony record when he had testified during the arson phase of the proceedings. Admittedly, any possible prejudice could not have occurred had the charges not been consolidated or had the defendant not testified concerning the arson. During his posttrial objection to the consolidation, however, the defendant did not argue that his choice of whether to testify was limited by the consolidation of the charges. Indeed, the defendant avowed from the beginning that he had wished to testify in the arson trial charge but not the assault trial. That, in fact, is precisely what he did.
*45The only relevant question presented to the trial court in the defendant’s posttrial objection to consolidation was whether the jury could render a just verdict on the assault charge despite the fact that they had been apprised for impeachment purposes of the defendant’s criminal history in the course of the arson trial. The trial court concluded that the defendant would not be substantially prejudiced as to the assault charge if adequate instructions were given. We agree that the defendant was not substantially prejudiced. We will address separately the defendant’s pretrial and posttrial objections to consolidation as related to the introduction of his prior felony record in the arson case.
In the defendant’s pretrial objection to the state’s motion to consolidate, it was represented to the trial court by defense counsel that the defendant “may testify in one case and not the other.” Additionally, it was represented by defense counsel “that she would advise the defendant to refrain from testifying in the urine-throwing case, and would probably advise the defendant to testify in the arson matter.” The defendant’s attorney stated that she intended to make those recommendations because the defendant would have need to explain to the jury his incriminating statement to the authorities concerning the charge of arson,15 but would not have to testify in the assault case because it was assumed that an exculpatory statement16 he had *46given to the police would be introduced by the state during its case-in-chief. Defense counsel also cited the possibility of impeachment of the defendant’s credibility by means of his criminal histoiy as a reason why she thought she would advise him not to testify in the trial of the assault charge. Unpersuaded by the defendant’s arguments, the trial court granted the state’s motion to consolidate. The defendant thereafter reserved his right to renew his objection to consolidation in the event that he “elect[ed] to testify in one matter and not the other.” The court informed the defendant that it “would deal with [that eventuality] at that time if it arises.”
A defendant who requests a severance on the theory that joinder of charges for trial will unfairly compromise his choice to testify or not to do so in his own defense must demonstrate “that he has both important testimony to give concerning one count and strong need to refrain from testifying on the other. In making such a showing, it is essential that the defendant present enough information — regarding the nature of the testimony he wishes to give on one count and his reasons for not wishing to testify on the other — to satisfy the court that the claim of prejudice is genuine and to enable it intelligently to weigh the considerations of economy and expedition in judicial administration against the defendant’s interest in having a free choice with respect to testifying.” (Internal quotation marks omitted.) State v. Schroff, 198 Conn. 405, 409, 503 A.2d 167 (1986). The trial court properly overruled the defendant’s pretrial objection to the consolidation of the arson charge and the assault charge because the defendant failed to divulge a clear intent to testify as to one count but not the other. Defense counsel, in her pretrial objection to consolidation, stated only that she *47“would advise” the defendant to testify as to the arson and “would probably advise” the defendant not to testify as to the assault assuming the state introduced the defendant’s version of events through the state’s own witness. Defense counsel never represented that she had had any conversations with the defendant concerning his right to testify or that the defendant had any opinion on the matter. See Closs v. Leapley, 18 F.3d 574, 579 (8th Cir. 1994) (denying severance because “counsel never stated unequivocally that Mr. Closs would in fact testify if the trials were separate”). Defense counsel stated that the defendant would decide whether to testify “down the road” and further qualified her remarks on the defendant’s future decision by stating: “I, in my mind at least, have very clear reasons why he would be well advised to testify in the arson case but not the urine throwing case.”
On the record before it, the trial court could not determine that the defendant even had considered whether he would testily in either case. Defense counsel, at the time of the motion, did not represent definitively to the trial court one way or the other the defendant’s intent. We are mindful that there are cases in which a defendant will have legitimate reasons for being unable to make a decision as to whether to testify until shortly before trial begins, and that a court should not prod defendants to make that decision prematurely. Even if this were a case, however, where the defendant could not initially have made an intelligent decision as to whether to testify, he still could not prevail. After the trial commenced, the defendant never again reasserted his claim that his decision concerning whether to testify was being or had been in any way infringed upon by the consolidation of the charges against him. Once the defendant’s intentions as to testifying became clear, he could and should have made them clear to the trial court and renewed his objection to consolida*48tion on the grounds that he had been deprived of a meaningful choice as to whether to testify. He did not do so. The trial court was not sufficiently apprised of the defendant’s intentions regarding testifying in order to enable it to overcome the presumption in favor of joinder. The defendant bears a heavy burden when seeking to sever; State v. King, supra, 187 Conn. 302; and that burden simply cannot be met where the trial court has before it only defense counsel’s pretrial representation that she “would probably advise” the defendant to testify as to one charge but not as to the other.
The defendant, however, did renew his objection to consolidation after trial. His objection at that point obviously was akin to a motion for a mistrial. It is necessary to recite additional facts to resolve the validity of the defendant’s posttrial objection to consolidation. After the presentation of the defense case on the arson charge, the defendant did not renew, on any grounds, his objection to the consolidation of the charges for trial. The state then began its case-in-chief on the assault charge. Mercoucheff, the first witness, stated that the defendant was a prisoner in the segregation unit on the date of the assault. She then testified in detail as to how she had been doused with urine upon placing her face up to the screened window of the defendant’s cell while conducting a routine head count of the inmate population. The next state’s witness was Wells, the shift supervisor on duty at the time of the alleged assault on Mercoucheff. He testified that the defendant had told him that the defendant and an inmate across the hall “had been horseplaying back and forth all day” and that he had thrown the urine at the other inmate in order to put an end to the horseplay. The state’s final witness was the nurse on duty the night of the assault. She confirmed that Mercoucheff s hair, face and body were “saturated” with urine and that she had rinsed Mercoucheff s eyes with diluted hydrogen peroxide.
*49Unlike the defendant’s pretrial objection to consolidation, his renewed objection to the consolidation at the close of the evidence does not fall within the doctrine of State v. Schroff, supra, 198 Conn. 405. Schroff and its progeny are concerned with situations where “ ‘the defendant’s interest in having a free choice with respect to testifying’ ” might be compromised. Id., 409. This is not a case where the defendant’s ultimate decision with respect to testifying was affected by the court’s consolidation of the two trials. The defendant maintained at all times that it would be his preference to testify in the arson case but not the assault case and that is precisely what occurred. Had severance been granted, the defendant’s expressed choice would not have been altered.17
Moreover, this is not a case where the defendant unwillingly testified as to both counts “in order to avoid *50the damaging implications of testifying on only one of the two joined counts.” State v. King, supra, 187 Conn. 306. The accused did not claim in his posttrial objection to consolidation that he had been “ ‘deprived of a choice whether or not to take the stand on any of the charges.’ Dunaway v. United States, 205 F.2d 23, 26 (D.C. Cir. 1953).” State v. King, supra, 309. He argued only that the jury on the assault charge would have been unaware of his prior felony record if the trials had not been consolidated and that the jury that had heard both cases would be unable to “forget about” his felony record when it deliberated as to the assault charge.18 Our analy*51sis as to the posttrial objection to consolidation, therefore, is properly limited to a consideration of whether the jury’s knowledge of the defendant’s criminal history gained in the arson case rendered it unable to reach a fair verdict as to the assault charge despite the repeated admonitions of the trial court to consider that evidence only for impeachment purposes and only as to the arson charge. See State v. Boscarino, supra, 204 Conn. 721-23.
“The discretion of a court to order separate trials should be exercised only when a joint trial will be substantially prejudicial to the rights of the defendant, and this means something more than that a joint trial will be less than advantageous to the defendant.” (Internal quotation marks omitted.) State v. Schroff, supra, 198 Conn. 408. The defendant’s burden to show substantial prejudice “includes a showing that any prejudice from joinder may be beyond the curative power of the court’s instructions.” State v. King, supra, 187 Conn. 302. “ ‘ [T]he jury is presumed, in the absence of an indication to the contrary, to have followed the instructions of the trial court.’ State v. Moye, 199 Conn. 389, 396, 507 A.2d 1001 (1986).” State v. Greene, 209 Conn. 458, 469 n.12, 551 A.2d 1231 (1988). In the present case, the trial *52court gave clear instructions that the evidence of prior felonies was to be used only for impeachment purposes and was admissible for consideration only as to the arson charge.19 We routinely allow juries to hear impeachment evidence regarding prior felony convictions and still trust that those juries will be able fairly to judge the defendant’s guilt or innocence when properly instructed by the trial court.
While it may be that joint trials were less advantageous to the defendant than separate trials, such a showing is insufficient to require severance. State v. Schroff, supra, 198 Conn. 408. The defendant must prove “substantial injustice.” State v. King, supra, 187 Conn. 302. The defendant has not met this burden. The jury in the assault case legitimately was aware of facts that reduce the possibility of any significant harm to the *53defendant arising from the evidence of his prior convictions. For example, the following information was known to the jury: (1) at the time of the assault, the defendant’s previous misbehavior had led to his placement in a segregation unit where there is “very, very restrictive confinement,” where the inmates are allowed out of their cells for only one hour each day; and (2) the defendant admitted that he had intentionally thrown urine at someone albeit he claimed it was not the correction officer. The jurors were certainly aware that the defendant was not Mary Poppins. It is difficult to see how the additional knowledge of the defendant’s criminal record, even if the jurors were of a mind to ignore the court’s clear instructions, would have made a difference in their verdict. Given the facts and the trial court’s clear instructions to the jury not to commingle the evidence in the two cases and to use the defendant’s criminal record solely for impeachment purposes and only in the trial of the arson charge, we do not believe that the jury’s knowledge of the defendant’s criminal record, gained in the arson case, caused “substantial prejudice” to the defendant in the trial of the assault case.
II
The defendant next claims that he is entitled to a new trial on the arson charge because the trial court refused to instruct the jury on the lesser offense of criminal mischief in the third degree, General Statutes § 53a-117 (a) (2).20 We disagree.
At the conclusion of the evidence and before the trial court charged the jury, the defendant requested a jury *54instruction on the offense of criminal mischief in the third degree. The defendant claimed that, on the basis of the evidence adduced at trial, the jury reasonably could have concluded that he had committed that lesser crime but not arson in the first degree.21 He further argued that it would be unfair to limit the jury’s consideration to the crime of arson in the first degree because the jury might have felt compelled to find him guilty of that crime only because there was no lesser offense of which to convict him. The state objected to the defendant’s request on the ground that it is the state’s prerogative, not the defendant’s, to determine the charges on which an accused will be tried. The state also argued that the defendant’s right to an instruction on a lesser crime than that charged in the information is limited under State v. Whistnant, 179 Conn. 576, 588, 427 A.2d 414 (1980), to lesser included offenses, and that criminal mischief in the third degree is not a lesser included offense of arson in the first degree. The trial court denied the defendant’s request for a jury instruction on the crime of criminal mischief.
The law governing the right of a defendant to an instruction on a lesser offense than that charged by the state is well established. “A defendant is entitled to an instruction on a lesser offense if, and only if, the following conditions are met: (1) an appropriate instruction is requested by either the state or the defendant; (2) it is not possible to commit the greater offense, in the manner described in the information or bill of particulars, without having first committed the lesser; (3) there is some evidence, introduced by either the state or the defendant, or by a combination of their proofs, which justifies conviction of the lesser offense; and (4) the *55proof on the element or elements which differentiate the lesser offense from the offense charged is sufficiently in dispute to permit the jury consistently to find the defendant innocent of the greater offense but guilty of the lesser.” Id.; see also State v. Arena, 235 Conn. 67, 73, 663 A.2d 972 (1995); State v. Franko, 199 Conn. 481, 494, 508 A.2d 22 (1986).
On appeal, as he did at trial, the defendant concedes that the second condition of the Whistnant test is not satisfied in this case because it is possible to commit arson in the first degree without first having committed criminal mischief in the third degree.22 He nevertheless contends that he was entitled to an instruction on criminal mischief because, in light of the undisputed evidence, the jury possibly could have found him guilty of that crime, rather than arson, if it had concluded that the defendant had negligently, rather than intentionally, caused damage to the building when he had set fire to his mattress. The defendant acknowledges that he can prevail on this claim only if we are persuaded to expand the second prong of the test enunciated in Whistnant. He argues that considerations of fairness require us to do so. See, e.g., Moore v. State, 105 Nev. 378, 383, 776 P.2d 1235 (1989) (“fairness to the defendant requires instructions on related but not necessarily included offenses . . . when . . . [1] the lesser offense is closely related to the offense charged; [2] defendant’s theory of defense is consistent with a conviction for a related offense; and [3] evidence of the lesser offense exists”); see also People v. Geiger, 35 Cal. 3d 510, 674 P.2d 1303, 199 Cal. Rptr. 45 (1984) (same). He argues further that a liberalization of the Whistnant test would not be unprecedented. See State v. Rodriguez, 180 Conn. 382, 407, 429 A.2d 919 (1980) (“[f]or purposes of the second condition of Whistnant ... an offense that *56would be a lesser included offense but for its requirement of a less culpable state of mind than that required for the greater, will be deemed a lesser included offense”); State v. Smith, 185 Conn. 63, 77, 441 A.2d 84 (1981) (applying rationale of Rodriguez). Having previously addressed and rejected claims substantially similar to that raised by the defendant; see State v. Franko, supra, 199 Conn. 493-95; State v. Castro, 196 Conn. 421, 426-29, 493 A.2d 223 (1985); State v. MacFarlane, 188 Conn. 542, 548, 450 A.2d 374 (1982); we are not inclined to reconsider Whistnant. Even if we were otherwise disposed, however, we are not persuaded that this would be the appropriate case for reexamination of our jurisprudence in this area. The defendant acknowledges that he did not notify the state, until the conclusion of the trial, of his intent to seek an instruction on criminal mischief in the third degree, even though its elements differ from those of arson in the first degree. “The constitutionality of instructing on lesser included offenses is grounded on the premise that where one or more offenses are lesser than and included within the crime charged, notice of the crime charged includes notice of all lesser included offenses. . . . This notice permits each party to prepare a case properly, each cognizant of its burden of proof. When the second condition for a lesser included offense instruction is not met, we cannot presume that the state has had sufficient opportunity to prove each element of the lesser offense beyond a reasonable doubt.” (Citations omitted.) State v. MacFarlane, supra, 548 — 49; see also State v. O'Neill, 200 Conn. 268, 280-81, 511 A.2d 321 (1986) (“[a] defendant has no constitutional right to elect which of two applicable statutes shall be the basis of his indictment and prosecution”); State v. Franko, supra, 495 (“[a] criminal defendant has no constitutional right to a jury instruction on a separate, uncharged crime”). Accordingly, we reject the defendant’s claim that the trial court *57improperly failed to instruct the jury on the lesser offense of criminal mischief in the third degree.
Ill
The defendant next contends that the trial court improperly permitted the state to impeach a defense witness, Peter Ventura, an inmate who had been incarcerated in the defendant’s cellblock, with evidence of certain lawsuits that Ventura had filed against department of correction officials. We disagree.
On direct examination, Ventura testified, in corroboration of the defendant’s testimony, that prison officials had failed to open the door to the defendant’s cell at dinner hour on February 2,1993. Ventura also explained that he had been placed in the protective custody unit of the facility because he had filed several lawsuits against various prison officials. On cross-examination, the state, in an effort to demonstrate Ventura’s bias against prison personnel, sought to question him further about those lawsuits. The defendant objected to any such inquiry by the state on relevancy grounds.
Before ruling on the defendant’s objection, the trial court excused the jury to permit the state to conduct a voir dire examination of Ventura. At that voir dire, Ventura testified that he had filed four separate lawsuits against several different officials of the department of correction and, further, that each of the lawsuits alleged unconstitutional conditions of confinement. Ventura also testified that although one of his lawsuits challenged the constitutionality of the conditions at the New Haven correctional center, Mercoucheff was not a party to that or any other lawsuit he filed.
At the conclusion of the hearing, the trial court overruled the defendant’s objection, concluding that the state’s questioning of Ventura was appropriate to establish his bias, if any, against correction officials. The *58jury was thereafter recalled and Ventura repeated his testimony regarding the lawsuits.
“[C]ross-examination is the principal means by which the credibility of witnesses and the truth of their testimony is tested.” State v. Lee, 229 Conn. 60, 69, 640 A.2d 553 (1994). Although only relevant evidence may be elicited through cross-examination; State v. Kelley, 229 Conn. 557, 562, 643 A.2d 854 (1994); “[e]vidence tending to show motive, bias or interest of an important witness is never collateral or irrelevant. [Indeed, i]t may be . . . the very key to an intelligent appraisal of the testimony of the [witness].” (Internal quotation marks omitted.) State v. Colton, 227 Conn. 231, 248, 630 A.2d 577 (1993). Accordingly, cross-examination to elicit facts tending to show that a witness’ testimony was motivated by bias may not be unduly restricted. Id., 249; see also State v. Francis, 228 Conn. 118,123,635 A.2d 762 (1993). “Bias may consist of a friendly feeling or of hostility. It may be shown in a variety of ways.” State v. Asherman, 193 Conn. 695, 719, 478 A.2d 227 (1984), cert. denied, 470 U.S. 1050, 105 S. Ct. 1749, 84 L. Ed. 2d 814 (1985).
The trial court reasonably could have concluded that Ventura’s lawsuits claiming improper treatment by department of correction officials evinced a hostility toward those officials and that, in view of the defendant’s claim of mistreatment by Mercoucheff on February 2, 1993, Ventura’s bias, if any, toward those authorities was relevant to the case. Furthermore, the fact that Mercoucheff was not named in any of Ventura’s lawsuits did not render irrelevant the state’s contention that Ventura harbored a general bias against correction officials stemming from his own alleged mistreatment while in their custody. “The trial court has broad discretion in deciding the relevancy of evidence as it pertains to cross-examination . . . and on appeal the appellant has the burden of establishing that there has been an *59erroneous ruling which was probably harmful to him.” (Citations omitted.) State v. Jones, 167 Conn. 228, 232-33, 355 A.2d 95 (1974); Pet v. Dept. of Health Services, 228 Conn. 651, 663, 638 A.2d 6 (1994). Because the trial court reasonably could have determined that the lawsuits filed by Ventura provided a basis for the jury to conclude that Ventura’s testimony was influenced by his hostility toward the department of correction and its officials, the trial court did not abuse its discretion in allowing the state to cross-examine Ventura concerning those lawsuits.
IV
The defendant next contends that the trial court improperly permitted the state to cross-examine him as to false statements that he allegedly had made to prison officials.23 We are unpersuaded.
The state notified the defendant, prior to his testimony regarding the arson charge, that it intended to question him, for impeachment purposes only, about four separate occasions on which he had allegedly given false information to correction officers.24 The defendant denied having made false statements on three of the four occasions and, on that ground, objected to being asked any questions about those three incidents. The trial court overruled the defendant’s objection to the line of questioning contemplated by the state and the defendant on cross-examination denied that he had given false information to correction officers on three of the four occasions.25
*60“The right to cross-examine a witness concerning specific acts of misconduct is limited in three distinct ways. First, cross-examination may only extend to specific acts of misconduct other than a felony conviction if those acts bear a special significance upon the issue of veracity .... Second, [w]hether to permit cross-examination as to particular acts of misconduct . . . lies largely within the discretion of the trial court. . . . Third, extrinsic evidence of such acts is inadmissible.” (Citations omitted; internal quotation marks omitted.) State v. Martin, 201 Conn. 74, 85-86, 513 A.2d 116 (1986); see also Demers v. State, 209 Conn. 143, 156-57, 547 A.2d 28 (1988).
The defendant does not dispute that cross-examination regarding prior false statements is generally permissible because such misconduct is probative of the witness’ veracity. The defendant claims, rather, that the state should not have been allowed to question him about three of the alleged false statements because he had already indicated that he would, on cross-examination, deny that any of those statements were untrue. The defendant’s argument is predicated on the fact that “if on cross-examination a witness denies having engaged in . . . prior acts of misconduct, the examiner must accept the answer and is prohibited from offering extrinsic evidence to prove such acts.” Demers v. State, supra, 209 Conn. 157.
We are persuaded that the trial court did not abuse its discretion in permitting the state to cross-examine the defendant regarding all four statements even though the defendant, through counsel, had informed the court that he had not provided false information on three of the four occasions. The state, relying on the findings contained in the prison disciplinary reports, had a good faith basis to believe otherwise. See, e.g., State v. Barnes, 232 Conn. 740, 747-48, 657 A.2d 611 (1995); C. Tait & J. LaPlante, Connecticut Evidence (2d Ed. Sup. *611994) § 7.22.1, pp. 86-87. Furthermore, the state had had no occasion, prior to the defendant’s trial testimony, to question him under oath about his alleged false statements.
The defendant also contends that the trial court permitted the state too much leeway in its cross-examination concerning the four incidents. Specifically, he claims that the trial court should have prohibited any further probing by the prosecutor once the defendant had denied having engaged in any misconduct.26 Contrary to the defendant’s argument, however, the trial court was within its discretion in allowing the state some latitude in its cross-examination on this issue. “ ‘[I]f the witness stands his ground and denies the alleged misconduct, the examiner must “take his answer” not that he may not cross-examine to extract an admission, but in the sense that he may not call other witnesses to prove the discrediting acts.’ McCormick, [Evidence (3d Ed.)] § 42.”State v. Horton, 8 Conn. App. 376, 380, 513 A.2d 168, cert. denied, 201 Conn. 813, 517 A.2d 631 (1986); see also State v. McIntosh, 12 Conn. App. 179, 185, 530 A.2d 191, cert. denied, 205 Conn. 808, 532 A.2d 77 (1987). The record indicates that the state’s questioning was very brief and to the point, and that the state did not unduly press the issue once the defendant had denied the misconduct. The defendant’s claim to the contrary, therefore, is meritless.
V
The defendant next challenges the trial court’s denial of his motion for a psychiatric examination made pursuant to General Statutes § 17a-56627 prior to sentencing. This claim also is without merit.
*62The defendant moved for an examination under § 17a-566 on the basis of information contained in the presentence report and in a written evaluation of the defendant by a psychologist retained by the defense. These reports raised the possibility that the defendant might be suffering from a mental illness. The trial court, characterizing the reports as equivocal and noncommittal on the issue of the defendant’s mental condition, concluded that it did not appear that the defendant was mentally ill and, accordingly, denied the defendant’s motion.28 The trial court, however, did order as a condition of the defendant’s probationary sentence that he receive “any psychiatric or psychological testing as may be deemed appropriate.”
As indicated by the trial court, neither the presentence report nor the psychological evaluation of the defendant concluded that he was mentally ill. Rather, the reports merely raised that possibility.29 The trial court, moreover, had been fully apprised of the defendant’s personal history and background and, in addition, had observed the defendant’s testimony and demeanor throughout the trial and could draw its own conclusions. In the absence of a far more convincing showing by the defendant, therefore, we cannot say that the trial court was incorrect when it concluded that the defendant did not appear to be suffering from a mental illness.
*63The defendant also argues that the trial court reasonably could not have concluded that he did not appear to be mentally ill, on the one hand, and, on the other, direct him, as a condition of his probation, to comply with any psychological testing or evaluation that might be deemed appropriate by his probation officer. On the contrary, the probationary condition imposed by the trial court is entirely consistent both with a conclusion that there remained a possibility that the defendant might benefit from psychiatric testing or evaluation, and with the trial court’s determination that the defendant did not appear to be mentally ill. The trial court, therefore, did not abuse its discretion in denying the defendant’s motion made pursuant to § 17a-566. See State v. DeAngelis, 200 Conn. 224, 241, 511 A.2d 310 (1986).
VI
The defendant also claims that the trial court improperly instructed the jury that a reasonable doubt “is a doubt for which a valid reason can be assigned.” Because the defendant failed to preserve this claim, he seeks review under State v. Golding, 213 Conn. 233, 239-40, 567 A.2d 823 (1989).
“The challenged instruction is identical to the instruction recently approved by this court in State v. Gomez, 225 Conn. 347, 353, 622 A.2d 1014 (1993), and numerous cases cited therein. In our previous cases, we concluded that this instruction did not decrease the state’s burden of proof when viewed in the context of the charge as a whole. Id., 354. In this case, the jury charge, taken as a whole, presents an accurate definition of proof beyond a reasonable doubt.” State v. Williams, 231 Conn. 235, 254 n.22, 645 A.2d 999 (1994). Accordingly, the defendant’s claim must fail.
*64VII
Finally, the defendant asserts that he was deprived of a fair trial due to improper closing argument by the state. The defendant also concedes that this claim was not properly preserved at trial, but contends that review is appropriate under State v. Golding, supra, 213 Conn. 239-40, or, alternatively, under the plain error doctrine.30 We will review the claim under Golding but we do not agree that the defendant was deprived of a fair trial.
The defendant’s claim is founded on certain statements made by the state during closing argument, in which the prosecutor purportedly made reference to facts not in evidence. The defendant also alleges that the prosecutor deprived the defendant of a fair trial by vouching for the credibility of witnesses, claiming that the defense case contained “smoke screens” and “red herrings,” calling the defendant a “con man,” commenting on matters not in evidence, commingling the evidence, testifying as an expert witness and injecting extraneous matters. A careful review of the record reveals that each of these claims is either entirely unsupported or does not approach the level of a due process violation. The challenged remarks, to the extent that they were made and were inappropriate, were isolated and brief, and did not reflect a pattern of misconduct. See State v. Williams, supra, 231 Conn. 245-47. They certainly did not deprive the defendant of a fair trial; see State v. Golding, supra, 213 Conn. 239-40; or otherwise implicate the fairness and integrity of and public confidence in the judicial proceedings. See State v. Day, 233 Conn. 813, 849, 661 A.2d 539 (1995). The defendant, *65therefore, cannot prevail on his claim of impropriety by the state in its closing argument.
The judgment is affirmed.
In this opinion PETERS, C. J., and NORCOTT, J., concurred.