Question: LetA1, A2, andA3 be three arbitrary events. Show that the probability that exactly one of these three events will occur is Pr(A1) + Pr(A2) +

LetA1, A2, andA3 be three arbitrary events. Show that the probability that exactly one of these three events will occur is
Pr(A1) + Pr(A2) + Pr(A3)
− 2 Pr(A1 ∩ A2) − 2 Pr(A1 ∩ A3) − 2 Pr(A2 ∩ A3)
+ 3 Pr(A1 ∩ A2 ∩ A3).

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