Let A1, A2,... be an arbitrary infinite sequence of
Chapter 1, Problem 12(choose chapter or problem)
Let A1, A2,... be an arbitrary infinite sequence of events, and let B1, B2,... be another infinite sequence of events defined as follows: B1 = A1, B2 = Ac 1 A2, B3 = Ac 1 Ac 2 A3, B4 = Ac 1 Ac 2 Ac 3 A4,.... Prove that Pr n i=1 Ai =n i=1 Pr(Bi) for n = 1, 2,..., and that Pr i=1 Ai = i=1 Pr(B
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