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Problem 1.24. Suppose you are given a sequence of events An, n N. and 〉_nENP(An) 〈 oo. The event An happens infinitely often can be represented as nn Umn Am Prove that this event has probability one. Hint: Use a union bound to prove that the complementary event has zero probability. This result is called the Borel-Cantelli Lemma. 02

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CO nごn 1に「 rn 12 92 o m fx

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