Wilson, Jackie Barron

Court of Criminal Appeals of Texas·Decided March 1, 2006·No. AP-75,062·Published

Opinion



IN THE COURT OF CRIMINAL APPEALS

OF TEXAS



NO. AP-75,062
JACKIE BARRON WILSON, Appellant


v.



THE STATE OF TEXAS



ON APPEAL FROM THE CRIMINAL DISTRICT COURT NUMBER THREE

DALLAS COUNTY

Johnson, J., filed a concurring opinion.

C O N C U R R I N G O P I N I O N (1)



Numbers flummox many of us, and as a result, numerical evidence can become confusing and misleading. This is particularly true if the evidence that inserts numbers into the legal equation is new and marginally understood. We are now at that point with evaluation of DNA evidence. The experts who come to court to present DNA evidence frequently come up with probabilities (2) of such great magnitude that they are patently unsupportable to those who understand numbers and very impressive to those who do not. The following discussion assumes that the only evidence linking the defendant to the offense is DNA.

The first probability mistake that experts make is to treat all variables (3) as independent. A variable is independent if, when the numerical value of the variable changes, no other variables necessarily change also. In a rectangle, height and width are independent variables; changing the height does not necessarily change the width. A dependent variable is one that necessarily changes in response to a change in another variable. The area of a rectangle is the product of multiplying height times width and is a dependent variable; if the height or width changes, the area necessarily changes.

The probability of two independent variables occurring at the same time is the product of the probabilities for each: if each variable occurs one time in ten, the probability of both variables occurring at the same time is 1/10 x 1/10, or 1/100 = one in one hundred. Probabilities decrease rapidly with the number of variables. With only six independent variables that have individual probabilities of one in ten, the probability of all occurring at once is one in a million. The probability decreases even more rapidly for variables that occur less often than one in ten times; for variables that occur once in a hundred times, the probability of one in a million requires only three variables.

A problem arises when dependent variables are treated like independent ones. In a California case from 1964, (4) The People v. Collins, an older woman returning from the grocery was accosted from behind and did not see her attacker, who took her purse. She did see a young woman running from the scene and described her as weighing about 145 pounds, wearing "something dark," and having blonde hair that was lighter than Janet Collins's hair was at the time of trial. A man who had been nearby reported seeing a young white woman with a blonde ponytail running from the direction of the robbery, but did not see the offense occur. He described the woman as slightly over 5 feet tall, of ordinary build, wearing a dark blonde ponytail and dark clothing. He also reported that the young woman got into a yellow or partly yellow car driven by a black man who had a beard and moustache.

The defendants, an interracial couple, were arrested and charged because they "sort of" matched the physical descriptions, owned a car that was at least partly yellow, were newly married, jobless, and broke. They denied involvement and provided an alibi. At trial, the state presented a mathematics instructor from a state college as their expert witness on the probability that the defendants were guilty. The witness refused to assign probabilities to the various factors chosen by the prosecutor, so the prosecutor proposed "probabilities" of his own; one in three young women were blonde, one in ten wore a ponytail, one in ten cars was at least partly yellow, one in ten black men had a beard, one in four men had a moustache, and one in a thousand couples was interracial. (5) The prosecutor then multiplied his own "probabilities" together and calculated that the profile would match one in 12 million couples. (6) The Collinses were convicted of the robbery based on the claimed probability that no other couple in California matched the reported description of the perpetrators.

In reversing the conviction in 1968, the California Supreme Court noted that the evidence was presented "[w]ithout presenting any statistical evidence whatsoever in support of the probabilities for the factors selected." Collins, 428 P.2d at 36 n9. The Court also noted that all of the selected factors were treated as independent and factually true and that there was no adjustment for dependent variables or the possibility of mistake. Id. at 39. Most men with beards also have moustaches, so a correction for the overlap was necessary. Id. at 39 n15. The Supreme Court also noted that the witness had failed to consider other plausible possibilities, for example, the young woman was a light-skinned African-American with bleached hair. (7)

Some of the bad guesses increased probability, others decreased it, but the expressed probability itself was not reliable. "Mathematics, a veritable sorcerer in our computerized society, while assisting the trier of fact in the search for truth, must not cast a spell over him." Id. at 33. The Collins Court also noted that, even if one accepted the prosecutor's guesses, appropriate calculations indicated that there was a substantial probability that more than one other couple matched the selected factors. Id. at 43.

Multiplying the probabilities of all variables together, without regard to dependence, leads to a probability that is too small, often greatly too small. For example, variable A has a probability of occurring one time in one thousand, and always occurs with variable B. B always occurs with A. A and B are dependent variables, and the probability that A and B will occur together is still one in one thousand, because they never occur separately. If the probabilities of a random match to A and B are improperly multiplied together, the probability of both A and B occurring together is 1/1000 x 1/1000 = 1/1,000,000, or one in a million, and is one thousand times too small. The numbers soon get out of hand. One expert testified that a given profile occurred one time in 2.578 sextillion (2.578 followed by 21 zeroes), (8) a number larger than the number of known stars in the universe (estimated at one sextillion). (9)

The population of Earth is about 6.5 billion, so anything in the sextillion range is more than one trillion times larger than the population of Earth. It is no wonder that, faced with numbers too large to conceive, some juries simply dismiss DNA evidence as not helpful, not persuasive, or not credible.

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