- 9 - [Maximum mark: 9] Consider two events A and A defined in the same sample space. (a) Show that P(A U B) = P(A) + P(A'n B). (b) Given that P(A U B) = 2, P(BIA) = = and P(B|A') = 2, (i) show that P(A) = =; (ii) hence find P(B)