Question

Problem 7 (Blitzstein and Hwang, Problem 44) Let A1, A2,..., An be events. Let Bk be the event exactly k of the A; occur, and Ck be the event that at least k of the A; occur, for 0 < k < n. Find a simple expression for P(Bk) in terms of P(Ck) and P(Ck+1).

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Answer #1

4J tcto (%) vnch ang ex he sijn altcre toach be トくナj73 rvents ocun hhen and only phen eve n.ks oc e wn ,ょ γ ί=o,}厂. ) γ-k) n e kれ side is Kaう )-ㄣ le -Please pardon if there is any mistake in notation specially if I have written 'm' in place of 'k'.

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