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A judge chooses a jury of n people out of a pool of n

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A judge chooses a jury of n people out of a pool of N people. The choice is uniform among all subsets of n elements of the pool. Unhappy with an outcome, he dissolves this jury (returning the people into the pool) and chooses another jury of m people, independently of the first jury. What is the probability that the first jury and the second jury have k common people?

(i) Solve the problem in general form.

(ii) Find the decimal value for N = 1000, n = m = 2, k = 1.

Reference no: EM13631817

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