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Question: sets and basic probabilities the probabilities of two events a...

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Sets and Basic Probabilities-

The probabilities of two events A and B are

P(A) = 0.75, P(B) = 0.45.

(a) Are A and B mutually exclusive? Justify your answer.

(b) Given additionally that P  (A ∪ B)c  = 0.15 find P (A ∩ B).

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