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Let P(A) = 0.1, P(B) = 0.2, P(C) = 0.3 and P(D) = 0.4; A, B,...

Let P(A) = 0.1, P(B) = 0.2, P(C) = 0.3 and P(D) = 0.4; A, B, C, D – independent events. Compute P{(A∪B)∩ (Cc ∪ Dc }.

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Answer #1

Since events are independent, product rule can be applied. That is, conjunction of two or more inependent events is the product of their individual probability. We shall compute the two parts one by one, and then combine. Hence,

Finally, since both these conjoined events are also independent in their own respect, hence

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