TJOFLAT, Circuit Judge:
This case comes before the court en banc for reconsideration of this circuit’s doctrine on the admissibility of offenses extrinsic to a defendant’s indictment to prove his criminal intent.1 That doctrine, [903]*903deriving in part from the case of United States v. Broadway, 477 F.2d 991 (5th Cir. 1973), requires that the essential physical elements of the extrinsic offense include those of the offense charged and that each of these elements be proved by plain, clear, and convincing evidence. We are here called upon to determine the effect of the recently enacted Federal Rules of Evidence on this doctrine, an issue expressly reserved in a number of our cases decided prior to the panel opinion in this case.2 The panel hearing this case was of the opinion, Judge Gee dissenting, that Broadway and its progeny survived intact the enactment of the rules. United States v. Beechum, 555 F.2d 487, 504-08 (5th Cir. 1977). With deference to the panel, we must disagree.
A jury convicted Orange Jell Beechum, a substitute letter carrier for the United States Postal Service, of unlawfully possessing an 1890 silver dollar that he knew to be stolen from the mails, in violation of 18 U.S.C. § 1708 (1976). To establish that Beechum intentionally and unlawfully possessed the silver dollar, the Government introduced into evidence two Sears, Roebuck & Co. credit cards found in Beeehum’s wallet when he was arrested. Neither card was issued to Beechum, and neither was signed. The Government also introduced evidence indicating that the cards had been mailed some ten months prior to Beechum’s arrest to two different addresses on routes he had serviced. The propriety of the admission of this evidence is the primary issue in this appeal. Before we reach this issue, however, we must round out the facts and note several additional issues.
I. Facts
Orange Jell Beechum had been a substitute letter carrier in South Dallas, Texas for approximately two and one-half years prior to his arrest on September 16, 1975. Because Beechum had been suspected of rifling the mail on several occasions, postal inspectors planted in a mailbox on Bee-chum’s route a letter containing the silver dollar, a greeting card, and sixteen dollars in currency. According to the testimony of one of the inspectors, the currency had been dusted with a powder visible only under [904]*904ultraviolet light. A postal inspector observed Beechum retrieving the mail from the mailbox in which the letter had been planted and noted that Beechum stopped at a record shop for approximately one hour before returning to the South Dallas Postal Station. At the station, Beechum turned in the raw mail containing the test letter, and it was discovered that the letter had been opened and resealed. The silver dollar and the currency were missing.
Approximately thirty minutes after having arrived at the station, Beechum was apprehended as he walked toward his automobile, whose engine was running. The arresting inspector informed Beechum that a letter had been planted in the mailbox Beechum had emptied earlier and that the letter had been opened and its contents were missing. Before any questioning, the inspector read Beechum the warnings required by Miranda v. Arizona, 384 U.S. 436, 86 S.Ct. 1602, 16 L.Ed.2d 694 (1966), and Beechum indicated that he understood his rights. The inspector then asked Beechum to empty his pockets. Standing with his front pockets everted, Beechum professed to have relinquished all, but a frisk revealed the silver dollar in his hip pocket. At this time, the inspector discovered in Beechum’s wallet the two Sears credit cards, which, as we have noted, were not issued to Beechum and had not been signed.
The arresting inspector questioned Bee-chum about the credit cards, and Beechum responded first that the only credit cards he possessed were his own. Later, when confronted with the Sears cards, he stated that he had never used them. The inspector testified that in response to further questioning concerning the cards, Beechum said, “Since you have all the answers, you tell me.” Record, vol. 2, at 31, 201. The inspector inquired no further.
The Government indicted Beechum on one count for unlawfully possessing the silver dollar. Argument at the preliminary hearing indicated that the primary issue in the case would be whether Beechum harbored the requisite intent to possess the silver dollar unlawfully. Defense counsel, by motion in limine heard in the absence of the jury, sought to exclude the credit cards as irrelevant and prejudicial. The court overruled the motion, in part on the basis that the cards were relevant to the issue of intent.3 Id. at 36-37.
In its case in chief, the Government introduced the credit cards and explained the circumstances surrounding their obtention. By stipulation, the Government introduced Sears documents indicating that the two cards had been issued to the parties named on those cards. It was also stipulated that the regular business practice of Sears was to mail such cards within ten days after their issuance. The Government also elicited testimony that the addresses to which the credit cards had been mailed were on routes that Beechum had serviced during the ten month period between the date the cards were issued and the date of Bee-chum’s arrest.
In anticipation that Beechum would claim that he sought to turn in the silver dollar, the Government called to the stand Bee-chum’s supervisor, Mr. Cox. Cox testified that he was in the view of Beechum on several occasions, and, indeed, that he had taken mail directly from Beechum. Id. at 101-09.
At the close of the Government’s ease in chief, the defense moved for a directed verdict of acquittal, alleging that the Government had failed to come forward with sufficient evidence “to establish that Mr. Bonner [sic] possessed the silver dollar with a requisite specific intent that the government is required to establish in this case.” Id. at 138. The defense argued that the Government had failed to demonstrate that the credit cards were unlawfully taken from the mail or that Beechum possessed the cards without authorization. The motion was overruled.
At this time defense counsel indicated to the court that Beechum would take the [905]*905stand and would testify “as to matters concerning the offense for which he is charged,” but that he would invoke the fifth amendment as to any questions concerning the credit cards. Id. at 140-41. The defense sought a ruling that the Government be precluded from asking Beechum any question about the cards; the rationale was that the defendant should not be required to invoke his fifth amendment privilege in the presence of the jury. The court declined so to limit the prosecution and indicated that Beechum would have to invoke the amendment in response to the questions he did not wish to answer.
On direct examination Beechum testified that the silver dollar fell out of the mailbox as he was raking out the mail and that he picked it up and placed it first in his shirt pocket, and later (after it had fallen out) in his hip pocket, where he claimed to keep his change. Beechum also testified that, upon return to the postal station, he intended to turn in the silver dollar to Cox but that he could not find Cox.4 Beechum also stated that he was not leaving the station when he was arrested.5 No mention was made of the credit cards.
On cross-examination the Government asked Beechum if the credit cards were in his wallet when he was arrested. Defense counsel objected on the basis that inquiry about the cards was outside the scope of cross-examination, and the court overruled the objection. On reassertion of the question, Beechum invoked his fifth amendment rights, but the prosecutor continued questioning on the subject of the cards. This occasioned repeated invocation of the fifth amendment by Beechum and vehement objection by defense counsel. Eventually, Beechum did admit to stating shortly after his arrest that the inspector could “answer his own questions” when the inspector quizzed him about the cards and that the only credit cards he had were his own. Id. at 201.
II. Issues
As we have noted, the central issue in this case is whether the district court properly allowed the credit cards to be admitted as extrinsic offense evidence going to the issue of Beechum’s intent to possess the silver dollar unlawfully. We hold that the credit cards were properly admissible. The case, however, presents several additional and substantial issues that we must address.
First, the defense contends that the Government was improperly allowed to question Beechum concerning the credit, cards because the issue of the cards was without the scope of cross-examination. Since Beechum took the stand to establish the innocence of his intent by testifying that he intended to turn in the coin and since Beechum’s possession of the cards was relevant to the issue of his intent, we hold that the Government’s questions were within the scope of proper cross-examination.
Second, the defense asserts that the court below impermissibly allowed the Government repeatedly to question Beechum concerning the cards, knowing that he would invoke the fifth amendment in response. That Beechum was forced repeatedly to assert the amendment, the defense claims, created undue prejudice before the jury. We find this contention meritless. When Beechum took the stand to establish that his intent was blameless, he waived his fifth amendment privilege with respect to cross-examination relevant to that issue. Therefore the district court incorrectly allowed Beechum to rely on the fifth amendment and to refuse to answer the Government’s inquiries. The defense can hardly argue undue prejudice when the Government was entitled to responses that undoubtedly would have been more damaging than the assertion of the fifth amendment.
We think it profitable to address first the contention that the Government’s inquiries [906]*906concerning the cards were outside the scope of cross-examination. A discussion of the propriety of the prosecutor’s repeated evocation of Beechum’s claim of fifth amendment privilege will follow naturally. Our discourse on these issues will provide a valuable prologue to our disposition of the extrinsic offense problem; many of the policies undergirding the implication of fifth amendment waiver as to matters within the scope of proper cross-examination when the defendant takes the stand are present when he testifies to assert the lack of criminal intent. We conclude that the credit cards were highly probative of Beechum’s intent and therefore properly admissible to attack the plausibility of his exculpatory testimony-
Before we move to the analysis of these issues, we must briefly address an issue noted, but not passed upon, by the panel. On direct examination, the Government elicited from the arresting inspector testimony indicating that Beechum gave no explanation for his possession of the silver dollar at the time of his arrest. In closing argument, the prosecutor made the following remarks concerning Beechum’s conduct after his arrest. “Mr. Beechum gave no explanation for his possession of the silver dollar. In fact, he told [the inspector], ‘You have all the answers, and I don’t have any for you.’ ” 1st Supp. Record at 5.
The issue, apparently raised for the first time by the panel, is whether the witness’s testimony and the prosecutor’s remark constituted impermissible comments on Beechum’s right to remain silent. See United States v. Warren, 578 F.2d 1058, 1064, 1072-74 (5th Cir. 1978) (en banc). Had Beechum in fact remained silent at the time of his arrest, we might entertain doubts as to the propriety of the testimony and comment. See Doyle v. Ohio, 426 U.S. 610, 96 S.Ct. 2240, 49 L.Ed.2d 91 (1976); see also Chapman v. United States, 547 F.2d 1240, 1247-50 (5th Cir.), cert. denied, 431 U.S. 908, 97 S.Ct. 1705, 52 L.Ed.2d 393 (1977). Beechum, however, chose to speak. After the inspector had informed him about the test letter and after Beechum had been read his rights, he chose to reply to the inspector’s initial inquiry with the remark that the only credit cards he possessed were his own. When confronted with the Sears cards found in his wallet, he explained that they had never been used. His final response to the questioning was that the inspector could answer any other questions himself because he had all the answers. In context, the latter two of these remarks are tantamount to admissions of guilt. Bee- ' chum knew that he was the subject of an investigation for rifling the mails because the inspectors had told him that they had planted a test letter. He was caught red-handed with the coin and the credit cards. All that he could say was, “You have all the answers.”
The prosecutor’s statement, therefore, is not a comment on Beechum’s silence but rather an appraisal of what Beechum said. In effect, the prosecutor was saying, “Bee-chum did not explain his possession of the silver dollar. In fact, he admitted that he had no explanation for it, because they already had all the answers.” Under these circumstances, neither the witness’s testimony nor the prosecutor’s remarks were improper. United States v. Mireles, 570 F.2d 1287, 1291-93 (5th Cir. 1978); United States v. Berdick, 555 F.2d 1329 (5th Cir. 1977), cert. denied, 434 U.S. 1010, 98 S.Ct. 721, 54 L.Ed.2d 753 (1978).
III. Analysis
A. Scope of Cross-examination
Beechum took the stand at trial to explain his possession of the silver dollar. He claimed that he came upon it innocently when he collected the mail from the box in which the test letter was placed. He testified that he placed the coin in his hip pocket, with the rest of his change, after it fell out of his shirt pocket. Beechum explained that he searched for his supervisor, Cox, so that he could properly relinquish the coin but that Cox was nowhere to be found. Clearly, Beechum was saying that he did not intend to possess the coin unlawfully because he obtained it innocently and intended to give it to the proper authority.
[907]*907At the time of his arrest, however, Bee-chum was carrying in his wallet the credit cards of two other persons. If Beechum wrongfully possessed these cards, the plausibility of his story about the coin is appreciably diminished. Therefore, assuming that it could be established that the cards were wrongfully possessed by Beechum, they were relevant to the issue of Bee-chum’s intent to commit the crime for which he was charged. Fed.R.Evid. 4016; see Part III. C. infra.
The scope of proper cross-examination is set forth in Fed.R.Evid. 611(b), which provides as follows:
Scope of cross-examination. Cross-examination should be limited to the subject matter of the direct examination and matters affecting the credibility of the witness. The court may, in the exercise of discretion, permit inquiry into additional matters as if on direct examination.
Implicit in the rule is that all evidence relevant to the subject matter of direct examination is within the scope of cross-examination. See McCormick, Evidence § 30, at 57-58 (2d ed. 1972). Of course, this is not to say that all such relevant evidence is admissible, for the rules themselves embody policies that exclude evidence even though relevant. E. g., Fed.R.Evid. 403, 404(b). Unless, however, one of these exclusionary policies acts to prohibit the introduction of the credit cards, they are admissible as within the scope of cross-examination because they are relevant to the issue of intent,7 an issue placed squarely in contention by Beechum’s testimony. See United States v. Pena, 542 F.2d 292, 294-95 (5th Cir. 1976); United States v. Gray, 507 F.2d 1013, 1018-19 (5th Cir.), cert. denied, 423 U.S. 824, 96 S.Ct. 38, 46 L.Ed.2d 40 (1975). Moreover, that Beechum did not refer to the cards on direct examination does not render inquiry about them irrelevant and therefore does not preclude the Government’s inquiries about them.
B. Repeated Invocation of the Fifth Amendment
At the close of the Government’s case in chief, defense counsel sought a ruling that the prosecutor be prohibited from questioning Beechum about the credit cards because Beechum intended to assert the fifth amendment as to any such questions. The court denied the motion, but Beechum took the stand to profess his innocence despite the court’s ruling. As promised, when the prosecutor asked Beechum about the cards, he invoked the fifth amendment. The prosecutor continued to question Bee-chum concerning the cards, and Beechum continued to assert the privilege. The defense claims this to have created undue prejudice before the jury. We cannot agree.
It is an inveterate principle that a defendant who takes the stand waives his fifth amendment privilege against self-incrimination at least to the extent of cross-examination relevant to issues raised by his testimony. E. g., Brown v. United States, 356 U.S. 148, 155-56, 78 S.Ct. 622, 627, 2 L.Ed.2d 589 (1958); Powers v. United States, 223 U.S. 303, 32 S.Ct. 281, 56 L.Ed.448 (1912); United States v. Pate, 357 F.2d 911, 915 (7th Cir. 1966). Whether a defendant waives the privilege to the full scope of cross-examination permissible under the Federal Rules is an issue we need not determine.8 As we shall show, however, the [908]*908cross-examination in this case comes well within the scope of matters that a defendant is deemed to waive when he takes the stand. The rationale behind this waiver rule is of equal pertinence to the extrinsic offense issue in this case; therefore, we briefly explicate that rationale below.
Truth is the essential objective of our adversary system of justice. Of course, the search for truth is in certain instances subordinated to higher values. Indeed, the privilege against self-incrimination ordinarily represents such a value.9 But where the defendant takes the stand to offer his version of the facts, “the interests of the [Government] and regard for the function of courts of justice to ascertain the truth become relevant, and prevail in the balance of considerations determining the scope and limits of the privilege against self-incrimination.” Brown v. United States, 356 U.S. 148, 156, 78 S.Ct. 622, 627, 2 L.Ed.2d 589 (1958). To allow a defendant to testify with impunity on matters he chooses and in a manner he chooses is a “positive invitation to mutilate the truth a party offers to tell.” Id.; accord, Fitzpatrick v. United States, 178 U.S. 304, 316, 20 S.Ct. 944, 948-49, 44 L.Ed. 1078 (1900). The defendant therefore is deemed to waive the privilege, at least with respect to matters about which he testifies, and the Government is entitled to subject his testimony to the acid test of adverse cross-examination.
Here, Beechum sought to attain precisely what the waiver rule seeks to prohibit. His objective was to testify that he intended to give the silver dollar to his supervisor without having to explain the possession of two credit cards not belonging to him. In this, he was largely successful. Had the Government been allowed to ask Beechum about the credit cards, he would have had to explain why he would turn in the coin but keep the cards. Any answer would have borne directly on the issue of intent, and the jury was entitled to consider such highly probative testimony.
The questions the Government sought to ask Beechum concerned matters within the letter and the spirit of the waiver rule. The court below erroneously permitted Beechum to invoke the fifth amendment and avoid response. Not satisfied with this, Beechum contends that he was unduly prejudiced by having to assert the amendment repeatedly. He claims that the prejudice was aggravated because the Government knew that the questions would evoke the assertion of the privilege. We find these contentions without merit.
It is impermissibly prejudicial for the Government to attempt to influence the jury by calling a witness it knows will invoke the fifth amendment. United States v. Ritz, 548 F.2d 510 (5th Cir. 1977); United States v. Maloney, 262 F.2d 535 (2d Cir. [909]*9091959). Moreover, where the government witness indicates beforehand that he will invoke the privilege, the court may properly refuse to allow 'him to testify before the jury. United States v. Lacouture, 495 F.2d 1237 (5th Cir.), cert. denied, 419 U.S. 1053, 95 S.Ct. 631, 42 L.Ed.2d 648 (1974). But this is not such a case. Here the defendant took the stand, knowing full well that the Government would inquire about the cards because the court had refused to prohibit that inquiry.10 Any prejudice deriving from the invocation of the privilege is therefore attributable to Beechum’s decision to testify. Indeed, Beechum can hardly complain; if the court had ruled correctly and not allowed him to invoke the fifth amendment, he could have refused to respond only on peril of contempt. See United States v. Brannon, 546 F.2d 1242, 1247 (5th Cir. 1977). Moreover, in that instance the Government would have been entitled to comment on Beechum’s refusal to answer, see Caminetti v. United States, 242 U.S. 470, 37 S.Ct. 192, 61 L.Ed. 442 (1917), notwithstanding the prohibition on such comment where the privilege is properly invoked, Griffin v. California, 380 U.S. 609, 85 S.Ct. 1229, 14 L.Ed.2d 106 (1965). Beechum achieved essentially what he desired, refusal to testify concerning the cards, without subjection to contempt or comment. He surely cannot successfully claim undue prejudice on this basis.11
C. The Extrinsic Offense
At the time of his arrest, Beechum possessed a silver dollar and two credit cards, none of which belonged to him. The only contested issue concerning the silver dollar was whether Beechum intended to turn it in, as he claimed, or to keep it for himself. Apparently, he had possessed the credit cards for some time, perhaps ten months, prior to his arrest. The obvious question is why would Beechum give up the silver dollar if he kept the credit cards. In this case, the Government was entitled to an answer.
It is derogative of the search for truth to allow a defendant to tell his story of innocence without facing him with evidence impeaching that story. A basic premise of our adversary system of justice is that the truth is best attained by requiring a witness to explain contrary evidence if he can. As we have seen, for this reason the defendant who chooses to testify waives his fifth amendment privilege with respect to relevant cross-examination. This is not to say that merely by taking the stand a defendant opens himself to the introduction of evidence that is relevant solely to his propensity to commit bad acts or crimes. But where the defendant testifies to controvert an element of the Government’s case, such as intent, to which the extrinsic offense is highly relevant, the integrity of the judicial process commands that the defendant be faced with that offense.
In this case, the jury was entitled to assess the credibility of Beechum's explanation but was deprived of the most effective vehicle for determining the veracity of Beechum’s story when the judge erroneously allowed Beechum to invoke the fifth amendment and avoid the critical question [910]*910on cross-examination. The Government was relegated to the inferences the jury might draw from the credit cards themselves and the additional evidence relating to them. The panel held that the cards and this evidence were insufficient to satisfy the strict standards for admissibility of extrinsic offense evidence established by United States v. Broadway, 477 F.2d 991 (5th Cir. 1973). We agree that Broadway dictates that the credit cards should not have been admitted; because this is so, we must reject the Broadway standards.
Broadway established two prerequisites to the admissibility of extrinsic offense evidence. First, it required that the physical elements of the extrinsic offense include the essential physical elements of the offense for which the defendant was indicted. Second, the case mandated that each of the physical elements of the extrinsic offense be established by plain, clear, and convincing evidence.12 The elements of the offense for which Beechum was convicted, violation of 18 U.S.C. § 1708 (1976), include the following: (1) that the defendant possessed the item, (2) that the item was stolen from the mail, (3) that the defendant knew that the item was stolen, and (4) that the defendant specifically intended to possess the item unlawfully. See United States v. Ellison, 494 F.2d 43 (5th Cir. 1974); United States v. Kimbrell, 487 F.2d 219 (5th Cir. 1973); United States v. Martinez, 466 F.2d 679 (5th Cir. 1972), cert. denied, 414 U.S. 1065, 94 S.Ct. 571, 38 L.Ed.2d 469 (1973). The first three elements were not disputed, except to the extent that a denial of the fourth renders the item not stolen for the purposes of the second and third elements. The physical elements of the crime are the first two. The panel held that the Government’s proof as to the credit cards failed to establish the second element, that the cards were stolen from the mail, by the plain, clear, and convincing evidence required by the second prong of the Broadway test. For the purposes of the following analysis, we accept this conclusion as valid.
We must overrule Broadway because a straightforward application of the Federal Rules of Evidence calls for admission of the cards. The directly applicable rule is Fed.R.Evid. 404(b), which provides as follows:
Other crimes, wrongs, or acts. Evidence of other crimes, wrongs, or acts is not admissible to prove the character of a person in order to show that he acted in conformity therewith. It may, however, be admissible for other purposes, such as proof of motive, opportunity, intent, preparation, plan, knowledge, identity, or absence of mistake or accident.
The rule follows the venerable principle that evidence of extrinsic offenses should not be admitted solely to demonstrate the defendant’s bad character. Even though such evidence is relevant, because a man of bad character is more likely to commit a crime than one not, the principle prohibits such evidence because it is inherently prejudicial. See, e. g., Michelson v. United States, 335 U.S. 469, 475-76, 69 S.Ct. 213, 218, 93 L.Ed. 168 (1948). Without an issue other than mere character to which the extrinsic offenses are relevant, the probative value of those offenses is deemed insufficient in all cases to outweigh the inherent prejudice. Where, however, the extrinsic offense evidence is relevant to an issue such as intent, it may well be that the evidence has probative force that is not substantially outweighed by its inherent prejudice. If this is so, the evidence may be admissible.13
[911]*911What the rule calls for is essentially a two-step test. First, it must be determined that the extrinsic offense evidence is relevant to an issue other than the defendant’s character. Second, the evidence must possess probative value that is not substantially outweighed by its undue prejudice and must meet the other requirements of rule 403.14 See Rule 404(b) Other Crimes Evidence: The Need for a Two-Step Analysis, 71 Nw.U.L.Rev. 636 (1976). The test for relevancy under the first step is identical to the one we have already encountered. The standards are established by rule 401, which deems evidence relevant when it has “any tendency to make the existence of any fact that is of consequence to the determination of the action more probable or less probable than it would be without the evidence.” Where the evidence sought to be introduced is an extrinsic offense, its relevance is a function of its similarity to the offense charged. In this regard, however, similarity means more than that the extrinsic and charged offense have a common characteristic. For the purposes of determining relevancy, “a fact is similar to another only when the common characteristic is the significant one for the purpose of the inquiry at hand.” Stone, The Rule of Exclusion of Similar Fact Evidence: England, 46 Harv.L.Rev. 954, 955 (1933). Therefore, similarity, and hence relevancy, is determined by the inquiry or issue to which the extrinsic offense is addressed.
Where the issue addressed is the defendant’s intent to commit the offense charged, the relevancy of the extrinsic offense derives from the defendant’s indulging himself in the same state of mind in the perpetration of both the extrinsic and charged offenses. The reasoning is that because the defendant had unlawful intent in the extrinsic offense, it is less likely that he had lawful intent in the present offense.15 See Weiss v. United States, 122 [912]*912F.2d 675, 683 (5th Cir.), cert. denied, 314 U.S. 687, 62 S.Ct. 300, 86 L.Ed. 550 (1941); 2 Wigmore, Evidence § 302 (3d ed. 1940). Under Broadway, that the defendant had unlawful intent in the commission of the extrinsic offense is established by requiring the Government to prove each physical element of that offense by plain, clear, and convincing evidence. And the extrinsic offense is deemed admissible only if its physical elements include those of the offense charged. We think that Broadway runs afoul of the Federal Rules of Evidence by imposing on the Government too strict a standard of proof and by requiring too close an identity of elements.
Obviously, the line of reasoning that deems an extrinsic offense relevant to the issue of intent is valid only if an offense was in fact committed and the defendant in fact committed it. Therefore, as a predicate to a determination that the extrinsic [913]*913offense is relevant, the Government must offer proof demonstrating that the defendant committed the offense. If the proof is insufficient, the judge must exclude the evidence because it is irrelevant. The issue we must decide is by what standard the trial court is to determine whether the Government has come forward with sufficient proof.
The standard of proof for ruling upon factual conditions to relevancy is supplied by Fed.R.Evid. 104(b), which states as follows:
Relevancy conditioned on fact. When the relevancy of evidence depends upon the fulfillment of a condition of fact, the court shall admit it upon, or subject to, the introduction of evidence sufficient to support a finding of the fulfillment of the condition.
As the rule provides, the task for the trial judge is to determine whether there is sufficient evidence for the jury to find that the defendant in fact committed the extrinsic offense. See Morgan, Functions of Judge and Jury in the Determination of Preliminary Questions of Fact, 43 Harv.L.Rev. 165 (1927). The judge need not be convinced beyond a reasonable doubt that the defendant committed the extrinsic offense, nor need he require the Government to come forward with clear and convincing proof.16 The standard for the admissibility of extrinsic offense evidence is that of rule 104(b): “the preliminary fact can be decided by the judge against the proponent only where the jury could not reasonably find the preliminary fact to exist.” 21 Wright & Graham, Federal Practice and Procedure: Evidence § 5054, at 269 (1977).
Once it is determined that the extrinsic offense requires the same intent as the charged offense and that the jury could find that the defendant committed the extrinsic offense, the evidence satisfies the first step under rule 404(b). The extrinsic offense is relevant (assuming the jury finds the defendant to have committed it) to an issue other than propensity because it lessens the likelihood that the defendant committed the charged offense with innocent intent. See text accompanying note 15 supra. It is not necessary that the physical elements of the charged and extrinsic offenses concur for this inference to be drawn and relevancy established. If the elements do match, the extrinsic offense may have greater probative value, but this is not an issue of relevancy. Evidence is relevant once it appears “to alter the probabilities of a consequential fact.” Weinstein & Berger, Weinstein’s Evidence ¶401[06], at 401 — 18 (1976). The probative value of the evidence is a matter to be weighed against its potential for undue prejudice, and the similarity of the physical elements of the charged and extrinsic offenses figures in at this stage. Therefore, we turn to the second step of the analysis required by rule 404(b), whether the evidence satisfies rule 403.
As we have stated, the central concern of rule 403 is whether the probative value of the evidence sought to be introduced is “substantially outweighed by the danger of unfair prejudice.” Broadway would reverse this standard by requiring a high degree of similarity between the extrinsic and charged offenses and a stringent standard of proof. In effect, the case attempts to establish a threshold requirement that the evidence possess great probative value before it can be admitted. This requirement not only contravenes rule 403 but also fails to meet its own declared ends. De[914]*914manding that the Government prove by excessive evidence each physical element of the extrinsic offense does not necessarily enhance its probative value and may in fact increase its unfair prejudice. One of the dangers inherent in the admission of extrinsic offense evidence is that the jury may convict the defendant not for the offense charged but for the extrinsic offense.17 See Note, Other Crimes Evidence at Trial: Of Balancing and Other Matters, 70 Yale L.Rev. 763, 773 (1961). This danger is particularly great where, as here, the extrinsic activity was not the subject of a conviction; the jury may feel that the defendant should be punished for that activity even if he is not guilty of the offense charged. Moreover, “[e]ven if the jury is no more disposed to punish the accused for his unpunished past crimes, ‘over-persuasion’ may lead them to conclude that, having committed a crime of the type charged, he is likely to repeat it.” Id. It is for fear that the jury would draw just this inference that extrinsic offense evidence is excluded when it is relevant solely to the issue of the defendant’s character. The touchstone of the trial judge’s analysis in this context should be whether the Government has proved the extrinsic offense sufficiently to allow the jury to determine that the defendant possessed the same state of mind at the time he committed the extrinsic offense as he allegedly possessed when he committed the charged offense. Forcing the Government to “overpersuade” the jury that the defendant committed an offense of substantial similarity engenders excessive and unnecessary prejudice.
The task for the court in its ascertainment of probative value and unfair prejudice under rule 403 calls for a commonsense assessment of all the circumstances surrounding the extrinsic offense. As the Advisory Committee Notes to rule 404(b) state: “No mechanical solution is offered. The determination must be made whether the danger of undue prejudice outweighs the probative value of the evidence in view of the availability of other means of proof and other facts appropriate for making decision of this kind under Rule 403.” 28 U.S.C.A. Rules of Evidence at 109 (1975).
Probity in this context is not an absolute; its value must be determined with regard to the extent to which the defendant’s unlawful intent is established by other evidence, stipulation, or inference.18 It is the incremental probity of the evidence that is to be balanced against its potential for undue prejudice. Dolan, Rule 403: The Prejudice Rule in Evidence, 49 S.Cal.L.Rev. 220, 234-35 & n. 52 (1976); see United States v. Baldarrama, 566 F.2d 560, 568 (5th Cir. 1978). Thus, if the Government has a strong case on the intent issue, the extrinsic offense may add little and consequently will be excluded more readily. See, e. g., United States v. Lawrance, 480 F.2d 688, 691-92 n. 6 (5th Cir. 1973). If the defendant’s intent is not contested, then the incremental probative value of the extrinsic offense is inconsequential when compared to its prejudice; therefore, in this circumstance the evidence is uniformly excluded.19 [915]*915E. g., United States v. Kirk, 528 F.2d 1057, 1060-61 (5th Cir. 1976); United States v. Goodwin, 492 F.2d 1141, 1151 (5th Cir. 1974). In measuring the probative value of the evidence, the judge should consider the overall similarity of the extrinsic and charged offenses. If they are dissimilar except for the common element of intent, the extrinsic offense may have little probative value to counterbalance the inherent prejudice of this type of evidence. Of course, equivalence of the elements of the charged and extrinsic offenses is not required. But the probative value of the extrinsic offense correlates positively with its likeness to the offense charged.20 Whether the extrinsic offense is sufficiently similar in its physical elements so that its probative value is not substantially outweighed by its undue prejudice is a matter within the sound discretion of the trial judge. The judge should also consider how much time separates the extrinsic and charged offenses: temporal remoteness depreciates the probity of the extrinsic offense. E. g., United States v. Carter, 516 F.2d 431, 434-35 (5th Cir. 1975).
As this case demonstrates, a significant consideration in determining the probative value of extrinsic offense evidence is the posture of the case. If at the commencement of trial it is not certain that the defendant will contest the issue of intent, the judge is in a poor position to weigh the probative value against the prejudice of the evidence because he cannot foresee the nature or extent of either the Government’s case or the defendant’s response. Whether a mere plea of not guilty justifies the Government in introducing extrinsic offense evidence in its case in chief is an open question in this circuit. United States v. Adderly, 529 F.2d 1178, 1181-82 (5th Cir. 1976); United States v. Urdiales, 523 F.2d 1245, 1247 (5th Cir. 1975), cert. denied, 426 U.S. 920, 96 S.Ct. 2625, 49 L.Ed.2d 373 (1976); cf. United States v. Bing, 513 F.2d 1001 (6th Cir. 1975) (holding extrinsic offense evidence inadmissible in case in chief where innocent intent not pleaded). We need not now answer it. Although the credit cards in this ease were introduced by the Government in its case in chief, it was clear before the case went to trial that the crucial issue would be Beechum’s intent. In effect all the other elements of the crime for which Beechum was indicted were conceded. See text following note 12 supra. Where it is evident that intent will be an issue at trial, we have held the admission of the extrinsic offense as part of the Government’s case in chief not to be grounds for reversal. United States v. Adderly, 529 F.2d at 1182. In any event, Beechum waived any objection he might have had to the Government’s order of proof when he [916]*916took the stand and professed the innocence of his intent.
We shall now apply the precepts we have set forth to the facts of this case. As we have demonstrated above, the credit card evidence is relevant to Beechum’s intent with respect to the silver dollar. That Beechum possessed the credit cards with illicit intent diminishes the likelihood that at the same moment he intended to turn in the silver dollar. If there is sufficient evidence to establish that Beechum wrongfully possessed the credit cards, the requirement of the first step under rule 404(b), that the evidence be relevant to an issue other than propensity, is met. This is so even if the evidence were insufficient for a finding that the cards were stolen from the mail. As we have said, relevancy is established once the identity of the significant state of mind is established. The similarity of the physical elements of the extrinsic and charged offenses is a measure of probity.
The standard for determining whether the evidence is sufficient for a finding that Beechum wrongfully possessed the credit cards is provided by rule 104(b): whether thé evidence would support such a finding by the jury. We think the evidence in the record clearly supports a finding that Bee-chum possessed the credit cards with the intent not to relinquish them to their rightful owners. Beechum possessed the credit cards of two different individuals. Neither card had been signed by the person to whom it was issued. When asked about the cards, Beechum answered first that the only cards he had were his own. When confronted with the credit cards, which were obviously not his own, Beechum responded that they had never been used. He refused to respond further because the inspector “had all the answers.” The logical inference from this statement is that Bee-chum was attempting to mitigate his culpability, having been caught red-handed. The undisputed evidence indicated that he could have possessed the cards for some ten months. The jury would have been wholly justified in finding that Beechum possessed these cards with the intent permanently to deprive the owners of them. This is all the rules require the court to determine to establish the relevancy of the extrinsic offense evidence.
We move now to the second step of the rule 404(b) analysis, the application of rule 403. The incremental probity of the extrinsic offense evidence in this case approaches its intrinsic value. Indeed, the posture of this case and the nature of the Government’s proof with respect to the intent issue present perhaps the most compelling circumstance for the admission of extrinsic offense evidence. From the very inception of trial, it was clear that the crucial issue in the case would be Beechum’s intent in possessing the silver dollar. He took the stand to proclaim that he intended to surrender the coin to his supervisor. The issue of intent was therefore clearly drawn, and the policies of justice that require a defendant to explain evidence that impugns his exculpatory testimony were in full force.21 As we have seen, these policies dictate that a defendant waive his fifth amendment privilege against self-incrimination as to cross-examination relevant to his testimony. Where a privilege so central to our notions of fairness and justice yields to the search for truth, we should not lightly obstruct that quest. The credit card evidence bore directly on the plausibility of Beechum’s story; justice called for its admission.22
[917]*917That the posture of this case demanded the admission of the credit card evidence is reinforced by the nature of the Government’s proof on the issue of intent apart from that evidence. This proof consisted of the following. The Government called Cox, Beechum’s supervisor, who testified that Beechum had had several opportunities to surrender the coin to him. Beechum denied this, and called two fellow employees who testified that Beechum had asked them if they had seen Cox. Absent the credit card evidence, the issue would have been decided wholly by the jury’s assessment of the credibility of these witnesses. The Government, therefore, did not make out such a strong case of criminal intent that the credit card evidence would have been of little incremental probity. In fact, the credit card evidence may have been determinative.
The overall similarity of the extrinsic and charged offenses in this case generates sufficient probity to meet the rule 403 test that the probative value of the evidence not be substantially outweighed by its unfair prejudice. We think this to be true even if it could not be established that the credit cards were stolen from the mail. At the least, there was sufficient evidence for the jury to find that Beechum possessed property belonging to others, with the specific intent to deprive the owners of their rightful possession permanently. That Beechum entertained such intent with respect to the credit cards renders less believable the story that he intended to turn in the coin in this instance. The force of this inference is not appreciably diminished by the failure of the Government to prove that the cards actually were stolen from the mail.
The probity of the credit card evidence in this case is augmented by the lack of temporal remoteness. Although Beechum may have obtained the cards as much as ten months prior to his arrest for the possession of the silver dollar, he kept the cards in his wallet where they would constantly remind him of the wrongfulness of their possession. In effect, Beechum’s state of mind with respect to the credit cards continued through his arrest. He maintained contemporaneously the wrongful intent with respect to the cards and the intent as regards the coin. The force of the probity of this circumstance is illustrated by what Bee-chum would have had to convince the jury in order to avoid it. He would have been forced to argue that his state of mind was schizoid — that he intended at the same time to relinquish the coin but to keep the cards. This situation does not differ significantly from one in which a thief is caught with a bag of loot, is charged with the larceny as to one of the items, but claims that he intended to return that item. Would any reasonable jury believe this story when it is established that he had stolen the rest of the loot?
The remaining considerations under rule 403 do not alter our conclusion as to the admissibility of the extrinsic offense evidence in this case. The extrinsic offense here is not of a heinous nature; it would hardly incite the jury to irrational decision by its force on human emotion. The credit card evidence was no more likely to confuse the issues, mislead the jury, cause undue delay, or waste time than any other type of extrinsic offense evidence. Since the need for the evidence in this case was great, it can hardly be said that the admission of the cards constituted “needless presentation of cumulative evidence.”
It is significant that the court was careful to allay, as much as limiting instructions can, the undue prejudice engendered by the credit card evidence. It gave extensive instructions to the jury on the limited use of extrinsic offense evidence employed to prove unlawful intent.23
[918]*918Having examined at length the circumstances of this case, we conclude that the credit card evidence meets the requirements of rule 403. Therefore, the conditions imposed by the second step of the analysis under rule 404(b) have been met, and the extrinsic offense evidence in this case was properly admitted at trial.
IV. Conclusion.
For the reasons stated above, we AFFIRM Beechum’s conviction. The opinion of the panel in this case, reported at 555 F.2d 487, is hereby VACATED.
AFFIRMED.