solve the problem

1. Let S1 = {1, 2, 3, 4, 5} and S2 = {a, b } be sample spaces, such that all outcomes within each space are equiprobable. Also, let A = {1, 2, 3} and B = {b} be events in spaces S, and $2, respectively, such that PP(AB) = 0.36. a) [8 points] Are events A and B independent? Why or why not? b) [4 points] What is P(B | A)