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Matching problem (case of sampling without replacement). Show that for j = 1, ...,M the conditional probability of a match in the jth urn, given that there are m matches, is m/M. Show, for any 2 unequal integers j and k, 1 to M, that the conditional probability that the ball number j was placed in urn number k, given that there are m matches, is equal to (M - m)(M - m - l)/M(M - 1).

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92661208

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