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Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BnC;) > 0 Vi=1,2,... M Prove that P(AB)=P(AB n C₂)P (C,B) 1=1 Hint: start by applying the total probability theorem to the event An B

Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BnC;) > 0 Vi=1,2,... M Prove that P(AB)=P(AB n C₂)P (C,B) 1=1 Hint: start by applying the total probability theorem to the event An B

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 2E
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VI Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BNC) > 0 Vi= 1, 2, 11. Prove that P(AB)=P(AB n C.)P (CIB) i=1 Hint: start by applying the total probability theorem to the event An B
Transcribed Image Text:VI Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BNC) > 0 Vi= 1, 2, 11. Prove that P(AB)=P(AB n C.)P (CIB) i=1 Hint: start by applying the total probability theorem to the event An B
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