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Opinion KENNARD, J. A jury found defendant Robert Allen Bacon guilty of first degree murder (Pen. Code, §§ 187, 189) and found true the special circumstance allegation that he intentionally killed the victim by means of lying in wait (§ 190.2, subd. (a)(15)). The jury found him guilty also of forcible rape (§ 261, subd. (a)(2)) and forcible sodomy (§ 286, subd. (c)(2)). Defendant waived his right to a jury trial on the additional special circumstance allegation that he was previously convicted of murder (§ 190.2, subd. (a)(2)), and the trial court found that he was so convicted. At defendant’s penalty trial, the jury returned a verdict of death. The trial court denied defendant’s motions for a new trial (§ 1181) and for modification of the penalty (§ 190.4, subd. (e)), and it sentenced him to death. This appeal is automatic. (Cal. Const., art. VI, § 11; § 1239, subd. (b).) We affirm the judgment. Introduction Deborah Sammons was brutally murdered and her body was placed in the trunk of her car, which defendant tried to conceal by driving the car into a slough. The last persons Deborah Sammons saw on the night of her murder were defendant and her husband, Charles (Charlie) Sammons, from whom she had recently separated, and who, along with defendant, was charged with her murder. Defendant and Charlie Sammons both admitted that Charlie had asked defendant to kill his wife and that each of them had taken part in disposing of the body and concealing evidence of her murder. But their accounts of the murder itself varied widely, with each casting the other as the actual killer. The victim’s blood was found on the shoes of both men, but physical evidence further linking defendant to the victim was the presence of his semen in her vagina. Defendant had never met the victim before the night of the murder. Defendant and Charlie Sammons were tried separately. Defendant was tried first, and, at his trial, Charlie Sammons testified for the prosecution. The prosecutor’s theory was that both defendant and Charlie committed the murder, and that defendant had also raped and sodomized the victim. The defense theory was that Charlie was the sole killer because he had the stronger motive due to his jealousy and anger towards his estranged wife. The defense contended that defendant’s sexual acts with the victim before her murder were consensual. I. Facts A. Guilt Phase 1. The prosecution’s case a. Discovery of the body Around midnight on October 26, 1995, two California Highway Patrol officers discovered the body of Deborah Sammons in the trunk of a white Mercury Sable car that appeared to have been abandoned just off Grizzly Island Road in Solano County. The officers arrived in response to the call of a local man who had driven to Grizzly Island that night to fish. The man had first seen the white car on Grizzly Island Road when it had passed his car at high speed. On reaching the place on the road where a bridge crosses Montezuma Slough, the man found the white car at the edge of the slough with its engine running and its lights on. As recounted below, defendant ultimately confessed to police that he tried to drive the car into the slough to sink it and conceal the body in the trunk, but the car became stuck on the dirt embankment. By running a check of the license plate, the officers determined that the car was registered to a married couple, Charles and Deborah Sammons. In preparation for towing and impounding the car, the officers conducted an inventory search. Using the keys from the ignition, they opened the trunk and discovered Deborah Sammons’s body. b. Investigation leading to the arrests At the time of her murder, Deborah Sammons had separated from her husband Charlie and was having a romantic relationship with Bill Peunggate. She had begun the affair with Peunggate while she was still living with Charlie. Charlie and Peunggate had come to blows in the summer of 1995 when Charlie learned of the affair. Deborah told Peunggate that she intended to divorce Charlie. Deborah and Peunggate had planned to go shopping together on the evening of October 26 (the day of the murder). In the afternoon, however, Deborah called Peunggate and told him that, at Charlie’s request, she was first going to Charlie’s house in Vacaville to take care of some bills. Deborah’s timecard from her employer showed that she left work at 5:28 p.m. Around midnight, when Deborah still had not shown up for their planned shopping trip, Peunggate drove to Charlie’s house. Charlie answered the door; he appeared to have just taken a shower. Peunggate used the phone, but neither of the men discussed Deborah’s whereabouts. About 6:00 a.m. on October 27, Solano County Sheriff’s deputies visited Charlie Sammons at his house to tell him that his wife was dead. Initially he appeared shocked at the news, but, according to one of the officers, his shock “lasted not more than a minute,” and he resumed cooking his breakfast. When asked whether or not he had been involved in the death of his wife, he responded, “Not quite.” Based on that response, the officers asked for and received Charlie’s permission to search his home. On the washing machine in the garage, they discovered a couple of drops of what appeared to be blood, which tested positive with Hemastix, a testing chemical. The officers told Charlie to accompany them to the station for further questioning, and he began to put on a pair of tennis shoes. Noticing bloodstains on the tennis shoes, one of the officers seized them. Subsequent DNA testing revealed that the blood was Deborah Sammons’s. On October 28, the day after Charlie Sammons was arrested, sheriff’s deputies obtained a warrant for and searched his house. In the master bedroom, they discovered numerous traces of blood, including a smear on the bedframe, a drop inside the dresser cabinet, a smear on the dresser, and small stains on the closet door. In the living room, they found small bloodstains on the brickwork in front of the fireplace. Inside the fireplace, they discovered burnt fabric and the underwire and clasps of a bra. In the kitchen, they found a single-edged, wood-handled steak knife in the dishwasher. After Charlie made statements to investigators implicating defendant, sheriff’s deputies obtained a warrant for and searched defendant’s residence, where they found and seized a tire iron. c. Autopsy and sexual assault examination The victim’s body was clad in a floral print dress, a short sleeve blouse, and a half-slip, but no other underclothing. It bore three types of injuries: strangulation, blunt force, and sharp force. The strangulation injuries consisted of multiple ligature furrows on the neck and hemorrhaging of the eyes. The blunt force injuries included a broken nose and lacerations on the eyebrow and the bridge of the nose. On the face there was a rectangular bruising pattern that, according to the trial testimony of Dr. Brian Lee Peterson, the pathologist who performed the autopsy, “matched very nicely the general width and shape” of the tire iron that had been found in defendant’s apartment. The sharp-force injuries included two stab wounds to the face and two stab wounds to the left side of the chest, one of which went through the lung and into the abdomen, and the other of which penetrated the heart, injuring the ventricle. According to Dr. Peterson, the steak knife that was found in the dishwasher at Charlie Sammons’s house could have been used to inflict all of the stab wounds. Dr. Peterson took swabs from the mouth, vagina, and rectum for evidence of rape, although he found no evidence of trauma to the victim’s vagina or rectum. The swabs were tested by a criminalist, who found evidence of spermatozoa on the vaginal swab. The swabs were also sent to a Department of Justice laboratory in Berkeley for DNA analysis. The laboratory confirmed the presence of spermatozoa and performed two rounds of DNA testing on it. The testing excluded Bill Peunggate (Deborah Sammons’s boyfriend at the time of the murder) and Charlie Sammons, but not defendant, as possible sources of the sperm. DNA analysis of the bloodstain on defendant’s shoe excluded Charlie Sammons, Peunggate, and defendant as possible sources, but included the victim. Elizabeth Ann Cassinos, a sexual assault nurse examiner, performed a colposcopic examination of the genital and anal areas of the victim’s body. (A colposcope is a microscope that magnifies 15 times normal vision.) Cassinos discovered an abrasion or slight tear at the edge of the vaginal opening. This type of injury could be consistent with consensual sexual relations. The victim’s anal cavity exhibited “more trauma” than the vaginal area. Past the sphincter, the anal cavity was purple and bruised looking on the right-hand side, which was consistent with blunt force trauma to the rectum caused by something being forced in from the outside. Cassinos did not offer an opinion as to whether the condition of the victim’s genital and anal areas was the result of consensual or nonconsensual sexual relations. d. Charlie Sammons’s testimony Charlie Sammons testified for the prosecution. At the time, he was also charged with the murder of Deborah Sammons, and he was in custody awaiting a separate trial. His attorney had approached the prosecution about Charlie’s testifying, but Charlie had made no plea agreements or deals with the prosecution. Charlie hoped, however, that the prosecution would show him some consideration after the conclusion of defendant’s case. On the day of the murder, Charlie and Deborah Sammons had been separated for about a month. Charlie was living at the Vacaville house that the couple had formerly shared. Charlie had been suffering from multiple sclerosis (MS) for about 17 years, with varying degrees of impairment over that time. When he testified at defendant’s trial, Charlie was using a wheelchair, but at the time of the murder, about three and a half years earlier, he had been able to walk. Charlie had met defendant through Charlie’s daughter, who knew defendant’s stepmother. On the day of the murder, defendant was helping Charlie paint the house and had been there for three days, working on the project. During the first day of painting, Charlie mentioned that he and his wife were separated because of “sexual problems,” namely, she no longer wanted to have sex with him. Charlie told defendant, “I’d like to have her out of the picture.” Defendant replied that “he could take care of it for a price.” Charlie thought defendant “was joking around” because defendant was laughing when he said it. Charlie had called Deborah several times that week, asking her to come to the house to pay the bills, something she often did even after their separation. She finally agreed, and Charlie told defendant she was going to come. Defendant replied that, upon her arrival, he would go to the bedroom to wait, and that, if Charlie “wanted her taken care of,” he should knock on the door as a signal. Charlie testified that he did not really know what defendant meant and that he thought defendant was still joking. Deborah arrived about 6:00 p.m. on the day of the murder, and for several hours she and Charlie talked while she paid the bills at the kitchen table. Charlie asked whether she was coming back, and she responded she did not know, which was her usual response to this question. When she finished paying the bills, Deborah went to the bedroom to put away the receipts and the checks. Charlie then heard a scream “like she [had] seen a mouse.” Because the scream was not loud, Charlie waited a few minutes, then yelled to ask whether everything was all right. Hearing no response, he went to the ■ bedroom and saw defendant beating Deborah. Defendant held her up with one hand around her neck. She was bleeding from the side of her head and begged Charlie to help her. When Charlie asked defendant what he was doing, defendant pointed a gun at Charlie and told him to go back to the kitchen. Charlie returned to the kitchen and started to go to the phone, but defendant, who was still in the bedroom, yelled, “I told you not to try to do anything.” Charlie testified that “it was like [defendant] knew everything I was doing,” and he said he was too scared to leave the house to seek help. After about five minutes, Charlie returned to the bedroom to see what was happening. Defendant was bent over the bed, standing over Deborah, who was bleeding. Charlie did not know whether she was alive. He saw her bra or panties or pantyhose near the end of the bed. Defendant again told Charlie to go back to the kitchen, and again he complied. A few minutes later, defendant called him back to the bedroom. Deborah was on the bed, dressed, apparently dead. Defendant told Charlie to help him wrap the body in a tarp, which Charlie obtained from the backyard. After they had wrapped Deborah’s body, defendant told Charlie to help him put it in the trunk of a red car in the garage. Charlie did so, and defendant asked him where they could dump the body. When Charlie had trouble thinking of a place, defendant threatened to shoot him. Charlie then thought of Grizzly Island, because he had previously towed cars from there. Defendant told Charlie to lead the way. Charlie drove the red car, with Deborah’s body in the trunk, and defendant followed in Deborah’s car, the white Mercury. When they reached Grizzly Island Road, defendant flashed his lights for Charlie to stop. Defendant told Charlie to help him put the body in the white car. They removed the body from the tarp and threw the tarp over the side of a hill. Defendant then drove the white car, now containing Deborah’s body, off the side of a bridge towards the water. Defendant rejoined Charlie, who was waiting in the red car, and told him, “Let’s go back and I’ll clean up the mess.” On cross-examination, Charlie acknowledged that, around the time of the murder, he was not confined to a wheelchair. Although Charlie had been receiving Social Security disability payments, he was doing construction jobs, such as installing sprinkler systems. He had also constructed a patio cover in his backyard, a task requiring hammering and sawing. Charlie also acknowledged that he was jealous and upset about Deborah’s affair with Peunggate, and that he had asked people to watch her house and her place of work to keep track of her activities. During the last period in which Charlie and Deborah lived in the house, she had refused to have sex with him, and they slept in different bedrooms. Deborah moved out of the house because she was tired of refusing his demands for sex, and her refusals had angered him. e. Defendant’s statements to investigators Defendant’s videotaped custodial interview, which occurred around 11:00 a.m. on October 28, 1995, was introduced through the testimony of Solano County Sheriff’s Detective Patrick Grate, the interrogating officer. The videotape was played to the jurors, who were given transcripts that the parties stipulated were true and accurate, and which contained a few statements that had been inadvertently deleted from the videotape. Detective Grate began the interview by informing defendant of his rights under Miranda v. Arizona (1966) 384 U.S. 436 [16 L.Ed.2d 694, 86 S.Ct. 1602], and defendant agreed to talk. Grate asked defendant about his schedule during the last week, and defendant said he had taken Wednesday and Thursday off from work to help Charlie Sammons paint his patio. Grate told defendant, “We think Charlie offed his wife,” and asked defendant whether he knew her. Defendant initially denied ever meeting her. Grate then told defendant that Charlie had said defendant had helped Charlie move the body. Grate said that DNA testing was being done, and he urged defendant to tell his version of what had happened that night. Defendant eventually acknowledged that Deborah had come to Charlie’s house on Thursday night about 6:00 p.m., and he said, “You’re gonna find my semen samples in her .... Cause I fucked her.” Detective Grate told defendant that Charlie had said that defendant had committed the murder all on his own, for reasons unknown to Charlie. In response, defendant told this story: Defendant saw Deborah arrive and was immediately attracted to her. He overheard Deborah and Charlie in the kitchen discussing their separation. Deborah told Charlie she did not want the house, but she also did not want other women living there because they would take things that belonged to her. Charlie then went to the garage, which defendant took as his “opportunity to check her out.” After some conversation lasting “five minutes at the most,” inexplicably (“I don’t know how it happened or why it happened.”) and quickly (“next thing I know”), defendant and Deborah began to have sex. Charlie did not interrupt them, and, after they had finished engaging in sex (which took about 10 or 15 minutes), defendant went back outside to continue painting the house. About 15 minutes later, Charlie yelled for defendant to come inside. Charlie had blood on his hands and shirt, and defendant “knew” what had happened. Defendant went to the bedroom and saw Deborah’s dead body on the bed. When asked to describe the condition of the body, defendant said, “I didn’t want to fuck her” and “there was blood everywhere.” Based on his prior conversations with Charlie, defendant assumed Charlie had killed her because they were separating and “she was gonna take everything.” Charlie told defendant that if he did not help him move the body, Charlie would call defendant’s father and tell him that defendant had just killed Deborah. Defendant and Charlie then moved the body onto a tarp. Defendant got Deborah’s blood on his shoes when he stepped on the tarp. Charlie tossed something in the fireplace, which might have been rags or a blanket or a sheet. Defendant eventually admitted that he helped Charlie to bum Deborah’s underwear and to clean the bloody sheets. They put the body in the trank of the red car, which Charlie drove. Defendant followed in the white car. At some point, they stopped; Charlie switched the body into the white car; and defendant tried to drive the car into the slough, but it got stuck on a big dirt hump. Charlie drove defendant home. At some point, defendant washed his bloody clothes at Charlie’s house, which was how the blood got on the washing machine. At this point in the interview, Detective Grate left defendant alone in the room with the videocamera still recording. Defendant engaged in an obscenity-filled soliloquy in which he cursed Charlie for getting him involved and for pinning the crime on him. He also wondered aloud why Charlie had killed Deborah. Detective Grate returned to the interview room and announced that the district attorney was going to charge defendant with “rape/murder.” Grate explained that the rape charge was based on the improbability of defendant’s story that Deborah had engaged in consensual sex five minutes after meeting him for the first time. Grate urged defendant to tell him anything more that might clarify what had happened that night. Defendant then said that Charlie had asked him to kill Deborah. Defendant maintained that he never said he would kill her but acknowledged that he believed Charlie assumed he would. After Deborah arrived, Charlie left the house to go to the store, saying, on his way out the door, that defendant “knew what had to be done.” Defendant claimed that he did not realize the significance of Charlie’s comment, despite his earlier conversation with Charlie about killing Deborah. After Charlie left, defendant talked to Deborah for about five minutes. The “next thing [he] knew,” he was kissing her, and “she didn’t struggle.” They ended up in the bedroom, where defendant performed oral sex on her. They engaged in vaginal intercourse and then in anal intercourse, when she said she did not mind it. Defendant adhered to the rest of his earlier story that Charlie killed Deborah all on his own and that defendant played no role beyond helping to dispose of the body and clean up the evidence. f. Testimony of jailhouse informant Martin L’Esperance testified about statements defendant had made to him about the murder while they were both prisoners in the Solano County jail. L’Esperance had many theft-related convictions and was then serving a sentence for either petty theft or robbery. Defendant told L’Esperance he had “stabbed a lady to death” in “the back room” of her house in Vacaville, had “fucked the bitch in the ass,” and had made her husband help him get rid of the body. Defendant also said that murder produced a better “high” than shooting methamphetamine and that “sex after death” was “better than regular sex.” Defendant did not say whether his sex acts with the victim occurred before or after her death. Almost a year after hearing defendant’s- statements, L’Esperance decided to go to the authorities with the information because Charlie Sammons was still in custody and L’Esperance thought Charlie was being imprisoned for a crime he had not committed. At the time, L’Esperance had a case pending, but he had already entered into a plea agreement for it. He said he neither asked for nor received any consideration for his pending case when he reported defendant’s statements. 2. The defense case Through the testimony of Charlie Sammons’s relatives and neighbors, the defense sought to establish that he had been physically capable of killing his wife and that he was motivated to do so because of his anger over their separation. Several witnesses testified that although Charlie had MS, he was a healthy and active person around the time of the murder. Charlotte and David Hedrick had been neighbors of Charlie and Deborah Sammons for 12 years. They were upset that Charlie was defrauding the government by drawing Social Security disability payments for his MS while doing construction jobs. Intending to reveal this fraud, David Hedrick had taken photographs of Charlie cutting wood with a power saw and nailing boards while standing on a ladder. Deborah’s sister, Lynette Holsey, testified that she saw Charlie digging trenches two feet deep and 20 feet long to install sprinkler systems. Several witnesses testified about Charlie Sammons’s jealousy and anger toward Deborah. Charlotte Hedrick testified that Charlie was jealous and suspicious of his wife. Lynette Holsey and Sheila Shelley, a family friend, testified that Charlie had people checking to see whether Deborah was really at work. Holsey said Charlie told her that, if he could not have Deborah, no one could. Family friends Cletus June Wilkerson and her husband, Howard Wilkerson, each testified they heard Charlie arguing with Deborah, and he was so angry he twice said, “I’m gonna kill her.” To counter Dr. Peterson’s testimony that Deborah’s facial bruises matched the tire iron found in defendant’s dwelling, pathologist Dr. Paul Hermann testified that, based on Deborah’s autopsy reports and photographs, her blunt force injuries could have been inflicted by blows with the barrel of a handgun that belonged to Charlie Sammons and that had been found in a cabinet under a bathroom sink in the Sammons’s house. Dr. Hermann acknowledged that since the handle of the tire iron was about the same size as the slide on the gun, he could not rule out the tire iron as the source of the injuries. But he thought it more likely that the gun had caused the injuries because he would have expected to see more damage to the bones of the face if the tire iron had been used. Deborah’s nose was broken, but the bones of the nose are more fragile than the other bones of the face. As to the prosecution’s medical testimony that there were microabrasions to Deborah’s vagina, Dr. Hermann stated that these could have been caused by the rubbing of underwear or sanitary pads. Charles Morton, a forensic scientist and criminologist, examined Charlie Sammons’s handgun for signs of blood. Inside the barrel was a small reddish stain about two millimeters long. A test by Morton indicated that the stain could be blood but did not exclude mold or bacteria. Later DNA testing failed to detect any quantity of human DNA. DNA analyst Lisa Calandro determined that the DNA of the blood found under Deborah’s fingernails matched Deborah’s DNA but not defendant’s DNA or Charlie’s DNA. Kathy Allison, one of Charlie Sammons’s neighbors, testified that on the evening of the murder, while driving by his house, she saw Charlie out front talking to an elderly man while Deborah Sammons’s white car was in the driveway. This defense was presented to corroborate defendant’s statement during the custodial interview that Charlie had left the house at one point, which, according to defendant, had given defendant and Deborah an opportunity to engage in consensual sex. B. Trial on Prior-murder Special-circumstance Allegation Defendant waived his right to a jury trial on the prior-murder special-circumstance allegation, which had been bifurcated from the guilt phase. Based on the prosecution’s documentary evidence, the trial court found that on June 17, 1983, defendant had been convicted in Arizona of second degree murder, and that the prior-murder special-circumstance allegation was therefore true. C. Penalty Phase 1. Prosecution case a. Defendant’s prior murder in Arizona The prosecution presented evidence of the facts underlying defendant’s Arizona murder conviction. Sheriff’s deputies from Pima County, Arizona, testified about the murder of John Noble, who, around noon on October 26, 1982, was found dead in bushes beside an interstate highway. Noble’s autopsy revealed slash wounds to his neck and numerous blunt force injuries to his head and upper body. (At the conclusion of the penalty phase, the parties stipulated that the cause of Noble’s death was “a sharp injury to the right neck that pierced his right external carotid artery.”) At the scene, investigators found a broken beer bottle that was covered with blood. Around 9:20 a.m. that day, a deputy sheriff had stopped and questioned two hitchhikers at that same location. One was the victim, John Noble; the other was defendant. Between 10:15 and 10:30 a.m., several drivers on the interstate reported seeing, at the side of the highway, one man hitting and kicking another man who was on the ground. When sheriff’s deputies arrived, they found Noble’s dead body and arrested defendant, who was about 100 feet from the body. Defendant appeared to be under the influence of alcohol or drugs. At the station, defendant waived his rights under Miranda v. Arizona, supra, 384 U.S. 436, and spoke to an investigating officer. Defendant did not have many injuries, but he did have dirt and blood on his person. He also had the murder victim’s wallet. Defendant initially denied any involvement with the murder, but ultimately he confessed that he had fought with Noble. Defendant said he had been hitchhiking with his dog, who was pregnant. He had met Noble, a fellow hitchhiker, and drank some alcohol with him. Noble said they might find work in Phoenix as grooms at a racetrack. Noble lay down for a nap, and defendant left to catch a ride, but he returned to get the piece of paper from Noble’s wallet on which the job address was written. As defendant was preparing to get the wallet, defendant’s dog woke Noble, who lashed out and kicked the dog. Defendant warned Noble about kicking the pregnant dog, but Noble kicked the dog again, and defendant fought with him. During the interview, defendant gave several different accounts of the fight. At one point, he said he hit Noble in the neck and thought he cut Noble’s neck because Noble started bleeding and fell down. At another point, however, defendant said that Noble had cut his neck by falling on the broken beer bottle. No fingerprints were ultimately recovered from the bottle. But when defendant was asked whether his fingerprints would be found on it, he said they would because he had picked up the bottle and thrown it away. Defendant said that he never intended to steal Noble’s wallet and that he had merely wanted the job information. b. Parole violation For killing Noble, defendant pleaded guilty to second degree murder and robbery, and he was sentenced to prison. He was paroled in April 1994. On February 24, 1995, during a parole search of defendant’s bedroom, his parole officer found a loaded .25-caliber pistol under defendant’s pillow. In the drawer of a table beside the bed, additional ammunition for the gun was found. Defendant denied the gun was his and said he had no idea how it had gotten there. Defendant was returned to prison for violating his parole. He was again released on July 24, 1995, after which he failed to report to his parole officer. (According to defendant’s police interview, he came to Cal. in Aug. 1995. Deborah Sammons was murdered on the evening of Oct. 26, 1995.) 2. Defense case Several of defendant’s relatives testified about his impoverished and unstable childhood, and about his abuse at the hands of his stepfather, Bill Garlinghouse. Defendant’s mother, Kathleen Scott, was continuously hospitalized between the ages of six and 12 for a severe heart condition and as a result received little formal education. When she was 16, defendant’s mother married Robert Bacon, a sailor in the United States Navy, and moved with him from Washington State to California. She became pregnant with defendant as the result of an affair with another man while her husband was at sea. Robert Bacon realized that the child was not his, and the couple separated. Defendant’s mother moved back to Washington and for a time lived again with her family. She became a prostitute and was jailed for about six months. During this time, defendant, then six months old, was placed in foster care with Julie Joy Waldrop, the sister-in-law of defendant’s maternal grandmother. When Waldrop first received him, defendant was a “pitiful” baby. He was “catatonic,” could not sit up, and had no facial expression. Although defendant made progress under Waldrop’s care, defendant’s mother regained custody of him after about six months. Defendant’s mother then had a series of unstable relationships and eventually married Bill Garlinghouse, who brought with him three children from previous relationships. Defendant’s mother told her sister, Glenna Healy, that Garlinghouse beat defendant frequently and put cigarettes out on him. She also said that defendant had told her that Garlinghouse had sodomized him. Healy had observed bruises on defendant’s face and arms and a cigarette bum on his arm. Ruth Garlinghouse, Bill Garlinghouse’s sister, came to know defendant when she was about 13 or 14 and defendant was about three or four. She was a babysitter for her brother’s family. When Garlinghouse and defendant’s mother were dating, he treated defendant well. But after they were married, Garlinghouse began to pick on defendant and would slap him periodically. By the time defendant was four or five, Ruth began to notice cigarette bums on him, as well as on Garlinghouse’s younger son Billy, who was about the same age. At one point, defendant looked like he had been “slammed into a wall,” and the whole left side of his face was cut and severely braised. On another occasion, when defendant was about six, Ruth saw Garlinghouse beat defendant severely with a board that was some 18 inches long, a half-inch thick, and three inches wide. Bill Garlinghouse’s daughter, Elizabeth, and Billy also testified about how their father abused them and defendant while they were growing up in his household. To inflict beatings, Garlinghouse generally used a belt, but sometimes he had the victim pick a switch from a tree for him to use. Defendant was punished more frequently, and often with more force, than the other children. Garlinghouse sexually abused Elizabeth. He shot and killed many of the family pets, afterwards forcing the boys to bury them. Garlinghouse moved the family frequently from town to town. Defendant’s mother eventually left Garlinghouse after he hit her in the chest, which caused her to have a heart attack. While she was hospitalized, Garlinghouse moved out of the house, taking his children but leaving defendant behind. When defendant was 11 or 12 years old, his mother reunited with her former husband, Robert Bacon. About a year later, they at last told defendant that Robert Bacon was not his biological father, which caused defendant to become very angry. Like Garlinghouse, Robert Bacon moved the family frequently. Defendant eventually ended up in juvenile institutions. H. Discussion A. Guilt Phase Issues 1. Exclusion of defense evidence Sustaining the prosecutor’s relevancy objection, the trial court excluded a note, written in defendant’s handwriting, that contained the victim’s name, her work address, and an unidentified telephone number. Defendant asserts the note was relevant and admissible evidence that would have corroborated his claim of consensual sex with the victim. He contends that the exclusion of the note violated state law and his rights under the Sixth, Eighth, and Fourteenth Amendments to the federal Constitution. As we conclude below, the trial court did not err in excluding the note. During cross-examination of the criminalist who helped collect evidence during the search of Charlie Sammons’s house, defense counsel asked about some items, apparently belonging to defendant, that were found in one of the bedrooms in the house. One item was an athletic bag containing men’s shaving items and a note on which were written a name, an address, and a phone number. The prosecution objected to admission of the note for lack of relevance, and the trial court heard argument on the issue outside the jury’s presence. Defense counsel made an offer of proof that the note was found in defendant’s bag and bore, in defendant’s handwriting, the name of the victim, her work address, and a phone number that was as yet unidentified. Defense counsel argued that the note was relevant to show that on the night of the murder the victim had voluntarily given her personal contact information to defendant, which in turn could support the defense version of events that the victim consented to sexual acts with defendant. The prosecutor objected that, without further evidence, the mere presence of the victim’s name and contact information in defendant’s handwriting on the note did not show that she had voluntarily given him the information. The trial court agreed with the prosecutor’s objection, observing that an equally reasonable inference was that Charlie had provided the information when he solicited defendant to kill his wife. The court left open the possibility, however, that the defense could seek admission of the note after Charlie Sammons had testified and was questioned about whether he had given defendant the information in question. When Charlie Sammons testified, he denied giving defendant any information about his wife, such as a phone number or an address. The defense then renewed its request to admit the note, and the trial court held another hearing outside the presence of the jury. Since the first hearing on the note, the prosecutor had obtained phone company records, and now made an offer of proof that the phone number on the note was not linked to the victim. The trial court again denied the motion to admit the note, explaining that “the defense has not established a sufficient foundation to conclude, other than by pure speculation, that the victim is the volunteer source of information on the note.” The court also explained that, even assuming for the sake of argument the foundational fact that the victim had been the source of the information on the note, it would be unreasonable, without an explanation as to why the information was given to defendant, to infer that the sexual contact between defendant and the victim was consensual. Defendant contends that admission of the note would have supported his version of events—namely, that the victim consented to their sexual acts— which would have been helpful to him not only on the sexual assault charges but also on the murder charge. As defendant puts it, “it would be paradoxical to the point of absurdity to believe that a man would take the trouble to induce (or seduce) the consent of a woman he intended to murder immediately afterwards in any event.” As recounted, the trial court gave two reasons for not admitting the note: (1) defense counsel had not met his burden, under Evidence Code section 403, subdivision (a)(1), of establishing the foundational fact that the victim had voluntarily given him the information on the note, and (2) even if that foundational fact were established, it was not relevant, under Evidence Code section 210, to the issue of whether defendant and the victim had engaged in consensual sex. We consider the foundational issue first. When the relevance of proffered evidence depends on the existence of a preliminary fact, the proponent of the evidence has the burden of producing evidence as to the existence of that preliminary fact. (Evid. Code, § 403, subd. (a)(1).) The proffered evidence is inadmissible unless the trial court finds sufficient evidence to sustain a finding of the existence of the preliminary fact. (Ibid.; see also People v. Marshall (1996) 13 Cal.4th 799, 832 [55 Cal.Rptr.2d 347, 919 P.2d 1280] [“the trial court must determine whether the evidence is sufficient to permit the jury to find the preliminary fact true by a preponderance of the evidence”].) “The decision whether the foundational evidence is sufficiently substantial is a matter within the court’s discretion.” (People v. Lucas (1995) 12 Cal.4th 415, 466 [48 Cal.Rptr.2d 525, 907 P.2d 373]; accord, People v. Guerra, supra, 37 Cal.4th 1067, 1120.) Here, the preliminary fact for which defendant had the burden of producing evidence was that murder victim Deborah was the source of the information on the note. Although some of that information was about Deborah (her name and work address, but apparently not the telephone number), the defense produced no evidence adequately supporting an inference that she was the source of the information. Significantly, the note was in defendant’s handwriting. As the trial court observed, if the victim had provided the information, one would normally expect the note to be in her handwriting. In his testimony, Charlie Sammons denied giving his murdered wife Deborah’s address or phone number to defendant. We assume the truthfulness of Charlie’s testimony on this point for the purposes of the Evidence Code section 403 analysis. (See Assem. Com. on Judiciary com., 29B pt. 1 West’s Ann. Evid. Code (1995 ed.) foil. § 402, pp. 356-357 [trial court does not resolve conflicts in the evidence submitted on preliminary facts questions determined under Evid. Code, § 403]; Assem. Com. on Judiciary com., 29B pt. 1 West’s Ann. Evid. Code, supra, at p. 403 [same]; see also 3 Witkin, Cal. Evidence (4th ed. 2000) Presentation at Trial, § 52, p. 85 [trial court cannot weigh the evidence and resolve the conflict against admissibility].) But even so assuming, Charlie’s testimony was merely compatible with the theory that Deborah had supplied the information; it did not specifically show that she had done so. Charlie was not the only possible source of the information. As the trial court observed, Deborah had recently lived in the house, and defendant (who had spent several days at the house) could have come across documents there containing her personal information. The trial court therefore acted within its discretion in finding defendant’s showing for this preliminary fact too weak to meet his burden under Evidence Code section 403. Because the trial court did not err in excluding the note on the basis of Evidence Code section 403, we need not evaluate the court’s alternate rationale for exclusion, namely, that, even assuming the foundational fact, the note was not relevant to the issue of consensual sex. (See Evid. Code, § 210 [“ ‘Relevant evidence’ means evidence . . . having any tendency in reason to prove or disprove any disputed fact that is of consequence to the determination of the action.”].) In any event, we see no abuse of discretion in the trial court’s relevancy analysis. As the court reasoned, even if what had been found in defendant’s bag was an item clearly likely to have been volunteered by the murder victim, such as her business card, it would have strained common sense to conclude that the presence of such an item indicated an agreement to engage in consensual sex. ' Finally, assuming for the sake of argument that the trial court erred in excluding the note, we see no prejudice. Defendant merely speculates that admitting the note would have helped his defense. Had the note been admitted, the jury might have considered it as supporting defendant’s statement that he and the victim engaged in consensual sex within five minutes of their meeting for the first time (even though none of defendant’s various accounts of events described any such exchange of personal information). But in light of admissions by both defendant and the murder victim’s husband, Charlie, that they discussed having defendant kill Deborah, the jury was more likely to have considered the note as supporting the prosecution’s theory that Charlie had given Deborah’s personal information to defendant to facilitate a murder for hire. In any event, the possible exculpatory value of the note was slight when viewed in light of the strong evidence of defendant’s guilt, and we therefore conclude that its exclusion was harmless. 2. Motion to suppress defendant’s statements Two days after the murder, defendant was interviewed by a sheriff’s detective. (See, ante, at pp. 1094-1096.) Before trial, defendant challenged the admissibility of a large portion of this interview under Miranda v. Arizona, supra, 384 U.S. 436 (Miranda), arguing that the interrogating officer had failed to honor defendant’s request for counsel. After a hearing on the matter, the trial court rejected defendant’s claim. Defendant renews his argument on this appeal. As we conclude below, defendant’s Miranda rights were not violated. Viewed in context, his statement (“I think it’d probably be a good idea for me to get an attorney”) was an ambiguous or equivocal reference to an attorney, which did not require the interrogating officer to cease questioning him. (Davis v. United States (1994) 512 U.S. 452, 459 [129 L.Ed.2d 362, 114 S.Ct. 2350] (Davis).) Under Miranda and its progeny, “a suspect [may] not be subjected to custodial interrogation unless he or she knowingly and intelligently has waived the right to remain silent, to the presence of an attorney, and, if indigent, to appointed counsel.” (People v. Cunningham (2001) 25 Cal.4th 926, 992 [108 Cal.Rptr.2d 291, 25 P.3d 519].) If at any point in the interview the suspect invokes the right to remain silent or the right to counsel, “the interrogation must cease.” (Miranda, supra, 384 U.S. 436, 474; see id. at pp. 444-445, A13-A15, 479.) But, as the high court has stated, an officer is not required to stop questioning a suspect when “a suspect makes a reference to an attorney that is ambiguous or equivocal.” (Davis, supra, 512 U.S. at p. 459.) The suspect “must articulate his desire to have counsel present sufficiently clearly that a reasonable police officer in the circumstances would understand the statement to be a request for an attorney.” (Ibid.) Davis noted that “when a suspect makes an ambiguous or equivocal statement it will often be good police practice for the interviewing officers to clarify whether or not he actually wants an attorney,” but declined “to adopt a rule requiring officers to ask clarifying questions.” (Id. at p. 461.) In reviewing a trial court’s Miranda ruling, we accept the court’s resolution of disputed facts and inferences and its evaluations of credibility, if supported by substantial evidence, and we independently determine, from the undisputed facts and facts properly found by the trial court, whether the challenged statement was illegally obtained. (People v. Gonzalez (2005) 34 Cal.4th 1111, 1125 [23 Cal.Rptr.3d 295, 104 P.3d 98].) Because what defendant here said during his police interview is undisputed, we engage in a de novo review of the legal question of whether the statement at issue was ambiguous or equivocal. Defendant contends that on its face his statement (“I think it’d probably be a good idea for me to get an attorney.”) is sufficiently clear to be understood as a request for an attorney. Defendant compares his statement to “similar locutions” that courts in other states and some federal appellate courts have held to be unambiguous and unequivocal invocations of the right to counsel under Davis. As defendant acknowledges, however, other state and federal courts have found similar statements to be ambiguous or equivocal. Because defendant’s statement contains several ambiguous qualifying words (“I think,” “probably,” and “it’d”), we do not consider defendant’s statement to be sufficiently clear in and of itself. (See Davis, supra, 512 U.S. at p. 455 [“ ‘Maybe I should talk to a lawyer.’ ”]; People v. Stitely (2005) 35 Cal.4th 514, 534 [26 Cal.Rptr.3d 1, 108 P.3d 182] [“ T think it’s about time for me to stop talking.’ ” (italics omitted)].) Alternatively, defendant contends his statement was sufficiently clear given the circumstances of his interview. Accordingly, we turn to the details of defendant’s questioning. (See Davis, supra, 512 U.S. at p, 459 [admissibility depends on what “a reasonable police officer in the circumstances would understand”]; see also People v. Crittenden (1994) 9 Cal.4th 83, 131 [36 Cal.Rptr.2d 474, 885 P.2d 887] [Davis analysis is conducted “in view of the entire record”].) Here defendant’s reference to an attorney occurred about 30 minutes into his interview with Detective Grate. Initially, defendant denied ever meeting the murder victim. But when Grate told him the investigators were conducting DNA testing, defendant said: “You’re gonna find my semen samples in her .... Cause I fucked her.” Defendant claimed that the sexual acts were consensual, but he gave no further details. Grate urged defendant to give him more information, asking, “What did he do, man? What the fuck did Charlie [Sammons] do?” This led to the following exchange: Defendant: “I don’t know. I don’t know. I’ve been asking myself that same question since we’ve been in this room and you told me this. What the fuck did Charlie do? Oh, my God.” Grate: “Ain’t no doubt you’re in the wrong place at the wrong time.” Defendant: “(Positive response)” Grate: “With the wrong people, man.” Defendant: “_. Yeah, I think it’d probably be a good idea . . .” Grate: “Well listen, listen.” Defendant: “. . . for me to get an attorney.” Grate: “Alright. It’s up to you.” Defendant: “_tell me . . .” Grate: “Hmm?” Defendant: “Listen, what?” Grate: “It’s up to you if you, you know, if you want an attorney, I mean I’m, I’m giving you the opportunity to talk.” Defendant: “Well. . .” Grate: “You know . . ._” Defendant: “. . . that’s what you’re gonna say. I mean talk to me, okay?” Grate: “Hmm?” Defendant: “Talk to me.” Grate: “Talk to you?” Defendant: “Talk to me.” Considering the totality of this exchange, we conclude that defendant’s reference to an attorney was equivocal or ambiguous. Defendant’s “attorney” reference occurred during a rapid and sometimes confusing series of exchanges with Detective Grate. We note that defendant’s phrase, “talk to me,” is open to two possible interpretations. It could express defendant’s willingness to talk to Grate or it could express what defendant thought Grate wanted him to do. This possible ambiguity is most evident the first time defendant used the phrase (“[Tjhat’s what you’re gonna say. I mean talk to me, okay?”) and perhaps explains Grate’s puzzled response (“Hmm?”). Whatever ambiguity there might be in the first instance of “talk to me,” however, is dispelled by defendant’s use of the phrase two more times, which indicates that defendant was indeed asking Grate to talk to him, rather than parroting what he thought Grate wanted him to do. Furthermore, even if we assume for the sake of argument that all instances of “talk to me” were ambiguous, defendant’s claim fails, because under Davis, a defendant’s invocation of the right to counsel must be clear and unambiguous. (Davis, supra, 512 U.S. at p. 459.) As a further alternative argument, defendant contends that, even assuming his reference to an attorney was ambiguous, Detective Grate went beyond asking for clarification to actively dissuading defendant from consulting counsel. Defendant acknowledges that we rejected a similar argument in People v. Stitely, supra, 35 Cal.4th at page 534. There, in response to the defendant’s ambiguous reference to the right to silence, the officer stated: “ ‘It’s up to you. Nobody ever forces you to talk. I told you that. I read you all that (untranslatable).’ ” (Ibid.) Defendant here contends that Grate’s comment (“I mean I’m, I’m giving you the opportunity to talk.”) is distinguishable from the language we analyzed in Stitely because Grate implied that consulting an attorney would be a waste of an opportunity to exonerate himself. But we see no substantial difference between this aspect here and in Stitely, and consequently we reject defendant’s claim that he was “badgered into resuming the interrogation.” (Id. at p. 536.) Because there was no violation of defendant’s Miranda rights, we need not address his lengthy analysis of how his case was prejudiced by the statements he made after his asserted invocation of the right to counsel. We note, however, that defendant’s argument for prejudice is questionable. As defendant acknowledges, before his reference to an attorney, defendant had already told Detective Grate that on the night of the murder he had engaged in sex with the victim at the house where she was killed. Defendant contends that his crude remarks in the challenged portion of the interview prejudiced his case. But the challenged portion of the interview also added details that arguably bolstered his exculpatory claim of consensual sex. (See, ante, at pp. 1095-1096.) 3. Instructions on consciousness of guilt Over defense objection, the trial court instructed the jury that it could infer consciousness of guilt from efforts to suppress evidence (CALJIC No. 2.06) and from the telling of a falsehood (CALJIC No. 2.03). Defendant contends that the trial court erred in giving these instructions because they are logically circular. He argues that for the jury to draw inferences of the consciousness of guilt permitted by these instructions, it would first have to resolve the ultimate question of whether defendant committed the charged crimes. He also contends that these instructions are argumentative pinpoint instructions that suggest to the jury an endorsement of the prosecutor’s version of the case. As defendant acknowledges, we have repeatedly rejected similar claims and upheld the propriety of these and similar consciousness of guilt instructions. Defendant’s arguments do not persuade us to reconsider those decisions. (People v. Jurado (2006) 38 Cal.4th 72, 125 [41 Cal.Rptr.3d 319, 131 P.3d 400].) 4. “Acquittal first” instruction Defendant contends that a special instruction on the alternative charge of being an accessory after the fact to murder was erroneous because it improperly limited the jury’s order of deliberations for the charged offenses, thereby prejudicially affecting the jury’s consideration of his defense to the murder charge, which was that he was not involved in the murder but merely helped the victim’s husband dispose of her body. Count 1 of the information alleged murder, and count 4 alleged that defendant was an accessory to murder. The trial court formulated this special jury instruction concerning these alternative charges: “The defendant is accused in Count 1 of having committed the crime of murder and in Count 4 of having committed the crime of accessory after the fact of murder. The defendant cannot be convicted as both a principal and as an accessory to the same crime. [][] In order to find the defendant guilty of the crime charged in Count 4, accessory after the fact to murder, you must first unanimously find the defendant not guilty of the crime charged in Count 1, murder of the first degree, and not guilty of the lesser offense of murder of the second degree, [f] If you unanimously find the defendant guilty of murder of the first degree or the lesser offense of murder of the second degree, you should not render a verdict on Count 4, accessory after the fact of murder.” The trial court gave this special instruction immediately after CALJIC No. 8.75, which concerns the so-called “acquittal-first” rule for lesser-included offenses, which, in defendant’s case, was second degree murder. As the court explained to the parties during the discussion of jury instructions, count 4 (accessory after the fact) was an alternative charge to murder, not a lesser included offense. But the court noted that the jurors would have to apply the same type of “acquittal-first” concept and procedure to both the lesser included and alternative charges. Because the same concept applied to both, the trial court treated the special instruction concerning the alternative charge as a continuation of CALJIC No. 8.75. Under the acquittal-first rule, a trial court may direct the order in which jury verdicts are returned by requiring an express acquittal on the charged crime before a verdict may be returned on a lesser included offense. (People v. Fields (1996) 13 Cal.4th 289, 303-304 [52 Cal.Rptr.2d 282, 914 P.2d 832].) Although the jurors must record their findings on the verdict forms in this order, CALJIC No. 8.75 informs the jurors: “[Y]ou have discretion to choose the order in which you evaluate each crime and consider the evidence pertaining to it” and advises that it “may ... be productive to consider and reach tentative conclusions on all charged and lesser crimes before reaching any final verdicts.” (Italics added.) These advisements are designed to prevent the jury from applying a strict acquittal-first rule, under which the jury would have to acquit of the greater offense before even considering lesser included offenses. (See People v. Kurtzman (1988) 46 Cal.3d 322, 329-331 [250 Cal.Rptr. 244, 758 P.2d 572].) Here, CALJIC No. 8.75, as given, included these advisements. Defendant claims, however, that because the trial court did not repeat them in the special instruction dealing with the alternative charge, the special instruction was rendered ambiguous and possibly “misled the jurors to believe that they were not free to order their substantive deliberations the way they saw useful or proper.” There was no error in the trial court’s special instruction. When reviewing an instructional ambiguity claim, we ask whether the jury was reasonably likely to have construed the instruction in a manner that violated the defendant’s rights. (People v. Whisenhunt (2008) 44 Cal.4th 174, 214 [79 Cal.Rptr.3d 125, 186 P.3d 496].) Here, the trial court intentionally structured and read CALJIC No. 8.75 together with the special instruction on the alternative charge. Thus, it was not reasonably likely the jury would have failed to understand that it had the “discretion to choose the order of evaluation” for the alternative charge of accessory after the fact to murder. 5. Accomplice testimony instruction Defense counsel requested a special instruction that was directed at the testimony of the murder victim’s husband, Charlie Sammons, as a testifying accomplice and that quoted a concurring opinion to this court’s decision in People v. Guiuan (1998) 18 Cal.4th 558 [76 Cal.Rptr.2d 239, 957 P.2d 928] (Guiuan). The trial court refused this special instruction and gave the standard cautionary instruction on accomplice testimony, CALJIC No. 3.18, which the court augmented with several sentences suggested in the special instruction. Defendant contends that the trial court erred in refusing to give the special instruction in its entirety. The trial court found that, for the purposes of jury instructions, Charlie Sammons was an accomplice as a matter of law (because he was liable for prosecution for the same crimes as defendant), and the court noted that it was therefore required to give a cautionary instruction about the testimony of an accomplice. The standard cautionary instruction on accomplice testimony, CALJIC No. 3.18 (6th ed. 1996) (1999 rev.), reflects the language of the majority opinion in Guiuan, supra, 18 Cal.4th at page 569, and states: “To the extent that an accomplice gives testimony that tends to incriminate the defendant, it should be viewed with caution. This does not mean, however, that you may arbitrarily disregard that testimony. You should give that testimony the weight you think it deserves after examining it with care and caution and in light of all the evidence in this case.” Defense counsel requested that the trial court instead give the cautionary instruction proposed in one of the concurring opinions to this court’s decision in Guiuan, supra, 18 Cal.4th at page 576: “ ‘In deciding whether to believe testimony given by an accomplice, you should use greater care and caution than you do when deciding whether to believe testimony given by an ordinary witness. Because an accomplice is also subject to prosecution for the same offense, an accomplice’s testimony may be strongly influenced by the hope or expectation that the prosecution will reward testimony that supports the prosecution’s case by granting the accomplice immunity or leniency. For this reason, you should view with distrust accomplice testimony that supports the prosecution’s case. Whether or not the accomplice testimony supports the prosecution’s case, you should bear in mind the accomplice’s interest in minimizing the seriousness of the crime and the significance of the accomplice’s own role in its commission, the fact that the accomplice’s participation in the crime may show the accomplice to be an untrustworthy person, and an accomplice’s particular ability, because of inside knowledge about the details of the crime, to construct plausible falsehoods about it. In giving you this warning about accomplice testimony, I do not mean to suggest that you must or should disbelieve the accomplice testimony that you heard at this trial. Rather, you should give the accomplice testimony whatever weight you decide it deserves after considering all the evidence in the case.’ ” {Ibid. (cone. opn. of Kennard, J.).) As authority for this instruction, defense counsel quoted the concurring opinion’s statement that “[a] cautionary instruction is more helpful and more effective if it states the reasons why special caution is warranted.” {Id. at p. 571 (cone. opn. of Kennard, J.).) The trial court declined to give the entire special instruction requested by defense counsel, but it did modify the standard instruction by adding two sentences, so that the instruction as given to the jury stated: “To the extent that Charlie Sammons gives testimony that tends to incriminate the defendant, it should be viewed with caution. You should consider the extent to which his testimony may have been influenced by the receipt of or expectation of any benefits in return for his testimony. You should also consider anything that has a tendency in reason to prove or disprove the truthfulness of his testimony, including but not limited to any interest he may have in the outcome of the defendant’s trial. This does not mean, however, that you may arbitrarily disregard that testimony. You should give that testimony the weight you think it deserves after examini