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

Question:

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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