Suppose that events A 1 and A 2 form a partition of the sample space S with

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Suppose that events A1 and A2 form a partition of the sample space S with P(A1) = 0.55 and P(A2) = 0.45. If E is an event that is a subset of S and P(E|A1) = 0.06 and P(E|A2) = 0.08, find P(E).

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