Given P ( A ) = 0.7 P(A)=0.7, P ( B ) = 0.56 P(B)=0.56 and P ( A ∩ B ) = 0.522 P(A∩B)=0.522, find the value of P ( B ∣ A ) P(B∣A), rounding to the nearest thousandth, if necessary.

Answer 1

P(B | A) = P(A ∩ B) / P(A)

Therefore, P(B | A) = 0.522/0.7 = 0.746