2. Let P(B)>0 so that P(AB) is defined. (a) If AB, what is P(AB) ? [3 marks ] (b) Show that if P(A)=0, then P(AB)=0 [3 marks] (c) Show that if P(A)=1, then P(AB)=1 [3 marks ] 3. If A and B are independent events, show the following (a) A and Bc are independent [5 marks]