7. [10 marks] A and B are two events in a sample space S with probabilities P [ A ] and P [ B ] respectively. A) Find P [ A B ] under the following different circumstances: (a) A and B are disjoint. (b) A is a subset of B . (c) B is a subset of A . (d) A and B are independent. B) Show that if P [ A B ] > P [ A ] then P [ B A ] > P [ B ] and comment on whether in this case A and B are independent. .