Question: A pair of events A and B cannot be simultaneously mutually exclusive and independent. Prove that if P(A) > 0 and P(B) > 0, then:

A pair of events A and B cannot be simultaneously mutually exclusive and independent. Prove that if P(A) > 0 and P(B) > 0, then:
(a) If A and B axe mutually exclusive, they cannot be independent.
(b) If A and B are independent, they cannot be mutually exclusive.

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