Question: 43. Let A1,A2,A3, . . . be a sequence of events of an experiment. Prove that P n=1 An 1

43. Let A1,A2,A3, . . . be a sequence of events of an experiment. Prove that P

 ∞\

n=1 An



≥ 1 −

∞X n=1 P(Ac n).

Hint: Use Boole’s inequality, discussed in Exercise 42.

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