Suppose a random experiment can be represented by 2 sets of events ,Ai and Bj, with each pair of sub events (A1 and A2, and B1, and B2) being mutually exclusive and collectively exhaustive. Find the conditional probabilities P(B1 | A1) and P(B2 | A1) by using Bayes' theorem and P(A1 | B1) = 0.6, P(A1 | B2) = 0.5, P(B1) = 0.3, and P(B2) = 0.7