true/False 1.Events E and F are dependent if the probability of event E is unaffected by the occurrence or nonoccurrence of event F. 2.If events A and B are mutually exclusive, the joint probability of the events is zero.  3.The probability of A and its complement will always sum to one. 4.Events E and F are independent if P(E and F) = P(E) + P(F).

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A: Introduction :

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Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

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