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

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Solution

The given probabilities are,

P( B )=0.5 and P( A∩B )=0.32

The probability P( A|B ) is calculated as,

P( A|B )= P( A∩B ) P( B ) = 0.32 0.5 = 16 25

Therefore, the value of P( A|B )is 16 25 .

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