Consider two events A1 and A2.Probability of appearance of data B in the event A1 is 0.7, and in the event A2 is 0.4.You do not have any knowledge on probabilities of appearances of A1 and A2.

(1) Calculate the probability of A1 given the data B.

(2) When you acquire data B' after the data B.Calculate the probability of A1 given the data B'. Note that the conditional probabilities of B' given A1 and A2 are same as ones of B.