Prove or disprove the following statements. (a) If P(A | B) > P(A), then P(B | A) > P(B) (b) If P(A) > P(B), then P(A | C) > P(B | C). (c) If P(A) = P(B), then P(A | B) = P(B | A). (d) If P(A | B) = P(B | A), then P(A) = P(B)