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3. Suppose that n balls are tossed, one at a time, into n bins such that each ball is equally likely to fall into any

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3. Suppose that n balls are tossed, one at a time, into n bins such that each ball is equally likely to fall into any bin and that the tosses are independent (a) What is the probability that the first bin is empty? (b) What is the probability that the first k bins are empty, for some integer k, 1

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