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Let A, B and C be events in a sample space, S. Suppose that S =...

Let A, B and C be events in a sample space, S. Suppose that S = A ∪ B ∪ C, and that the following hold: A ∩ C = ∅, B ∩ C = ∅. Let P(A) = 0.3, P(B) = 0.5 and P(C) = 0.5. Find P(A ∩ B).

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