According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A|B)= P(A) P(BA)+P(A) P(BIA) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = P(A) = P(B| A) = ½, and P (B| A') = The probability of event A, given that event B has occurred, is P(A| B) = ☐ . (Round to the nearest thousandth as needed.)

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