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A crime has been committed. Assume that the crime was committed by exactly one person, and that there are 1000 people who could have committed
A crime has been committed. Assume that the crime was committed by exactly one person, and that there are 1000 people who could have committed the crime and that, in the absence of any evidence, these people are all equally likely to be guilty of the crime. Suppose a piece of evidence is found and a particular individual is accused. It is judged that this evidence would have a probability of 0.99 of being observed if the crime were committed by that individual, and a probability of only 0.000] of being observed, if the crime were committed by any other individual. Find the probability, given the evidence, that the individual committed the crime
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