The probability of event A, given that event B has occurred, can be found using Bayes' Th P(A) . P(B|A) P(A B) = P(A) . P(B A) + P(A') . P (BIA') Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = 69%, P (A') = 31%, P(B|A) = 45%, and P (B|A') = 54% The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)