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Problem 7 (Blitzstein and Hwang, Problem 44) Let A1, A2,..., An be events. Let Bk be the event exactly k of the Ai occur, and Ch be the event that at least k of the Ai occur, for 0 〈 k 〈 n. Find a simple expression for P(Bk) in terms of P(Ck) and P(Ck+)

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