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.
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