Question 1 (10 marks) (a) Suppose that P(An B) = 0.1, P(An B) = 0.4 and P(An B) = 0.6. (i) Compute P(A). (ii) Compute P(AU B). (iii) Compute P(AU B). (b) Suppose a box contains four tickets labelled 112, 121, 211, 222. One ticket is randomly cho- sen. Consider the events A = {1 occurs in the first place), A2 = {1 occurs in the second place} and As = {1 occurs in the third place}. (i) Are A1, A2, As pairwise independent? (ii) Are An, A2, As mutually independent? Page 1