(i) Two events A and B are mutually exclusive.

Given that P(B) = p 0 and P(A) = 3 P(B),

(a) draw a Venn diagram to illustrate this information,

(b) find the possible values of P(B).

(ii) Two events C and D are such that P(C | D) = 3 P(C) where P(C) 0.

(a) Explain whether or not events C and D could be independent events.

Given also that P(C D) = 2 1 P(C) and P(C D ) = 10 7 ,

(b) find P(C), showing your working clearly