Let A,B,and C be events relating to the experiment of rolling a pair of dice.(a) Ifeither...

Let A,B,and C be events relating to the experiment of rolling a pair of dice.

(a) If

either prove that P(A)> P(B)or give a counterexample by defining events A, B,and Cfor which that relationship is not true.

(b) If

either prove that P(AB|C)> P(AB|CC) or give a counterexample by defining events A, B,and C for which that relationship is not true.