Suppose that events A 1 , A 2 , and A 3 form a partition of the

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Suppose that events A1, A2, and A3 form a partition of the sample space S with P(A1) = 0.35, P(A2) = 0.45, and P(A3) = 0.2. If E is an event that is a subset of S and P(E|A1) = 0.25, P(E|A2) = 0.18, and P(E|A3) = 0.14, find P(E).

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