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Problems on general probability rules, independence ...

Math 370, Actuarial Problemsolving Problems on General Probability Rules 7. Given that P(A) = 0.2, P(B) = 0.7, and P(A|B) = 0.15, find P(A0 ∩B0). Solution: By De Morgan’s Law, P(A0 ∩ B0) = P((A ∪ B)0) = 1 − P(A ∪ B) = 1−P(A)−P(B)+P(A∩B).

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