The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A) P(BA) P(A) P(B| A) + P(A) .P (BIA) P(A| B)=- Use Bayes's Theorem to find P(A| B) using the probabilities shown below. P(A)=0.35, P (A) = 0.65, P(B| A)=0.5, and P (BIA) = 0.7 The probability of event A, given that event B has occurred, is (Round to the nearest thousandth as needed.)