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Consider the following simplified view of a jury weighing evidence (treat the jury as a single decision maker). A defendant in a court case is

Consider the following simplified view of a jury weighing evidence (treat the jury as a single decision maker). A defendant in a court case is accused of committing a crime. Independent of guilt (G) or innocence (I), with probability 3/4, the defendant possesses evidence. This evidence is in the set {d1, d2, d3}. When he possesses evidence, the probability of which document it is depends on whether he is guilty or innocent. We denote the probabilities with which di is realized, conditional on I or G, respectively, (and conditional on evidence being realized) by pIi and pGi. Suppose these are given by pI3 = 3/8, pI2 = 3/8, pI1 = 1/4, pG3 = 1/8, pG2 = 1/8, and pG1 = 3/4. Assume the prior belief that the defendant is innocent is 3/8. Suppose that the jury believes that both guilty and innocent types of the defendant do not disclose d1, but both do disclose d2 and d3. What is the jury's posterior belief that the defendant is innocent when it observes no document disclosed?

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