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Probability

Question

Wired Faculty App

Compute P(A|B), if P(B) = 0.5 and P(A ∩ B) = 0.32.

Solution

Here P(B) = 0.5, P(A ∩ B) = 0.32
Now

straight P left parenthesis straight A space left enclose straight B right parenthesis end enclose space equals space fraction numerator straight P left parenthesis straight A intersection straight B right parenthesis over denominator straight P left parenthesis straight B right parenthesis end fraction space equals space fraction numerator 0.32 over denominator 0.5 end fraction space equals space 32 over 100 cross times 10 over 5 space equals space 16 over 25

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