Asked Oct 1, 2019

Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].


Expert Answer

Step 1

To calculate the required probability (using the data on conditional probability)

Step 2

P(X|Y) represents the conditional probability that X occurs given Y has occured. 


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Basic formulae: P(Z) 1-P(Z) P(X P(Y)

Step 3

We have used the fact that P(A) =1-P(A') = 1-8/21...


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P(BIA)=PAB) P(A) So, P(AnB) P(B | ΑΡ( 8 13 X 13 2 21


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