1. Prove each of the following statements (assume that any conditioning event has positive probability). (a) If A is subset of B then P(B|A)=1 and p(A|B)=P(A)/P(B). (b) If A and B are mutually exclusive, then p(A|A u B)=((P(A)/((P(A)+P (B)) (C) P(A n B n C)= P(A|B n C) P( B|C) P(C) I"m really having problem in doing these. could someone help me out?