LetA1, A2, andA3 be three arbitrary events. Show that the probability that exactly one of these three

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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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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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