(5) If two events A and B are mutually exclusive, then the joint events, AnC and BOC are also mutually exclusive and hence P((AUB)|C) = P(A|C)+ P(B\C)

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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Prove the property

(5)
If two events A and B are mutually exclusive, then the joint events, AnCand BnC
are also mutually exclusive and hence P((AUB)|C) = P(A\C)+P(B\C)
Transcribed Image Text:(5) If two events A and B are mutually exclusive, then the joint events, AnCand BnC are also mutually exclusive and hence P((AUB)|C) = P(A\C)+P(B\C)
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