Show that for any three events A, B, and C, the probability that at least one of them occurs is P(A) + P(B) + P(C) − P(ANB) - P(ANC) - P(BNC) + P(ANBNC).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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a) Show that for any three events A, B, and C, the probability that at least one of them
occurs is
P(A) + P(B) + P(C) − P(ANB) - P(ANC) - P(BNC) + P(ANBNC).
Transcribed Image Text:a) Show that for any three events A, B, and C, the probability that at least one of them occurs is P(A) + P(B) + P(C) − P(ANB) - P(ANC) - P(BNC) + P(ANBNC).
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