Suppose that E, F1, F2, and F3 are events from a sample space S and that F1,

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Suppose that E, F1, F2, and F3 are events from a sample space S and that F1, F2, and F3 are pair wise disjoint and their union is S. Find p(F1 | E) if p(E | F1) = 1/8, p(E | F2)=1/4, p(E | F3)=1/6, p(F1)=1/4, p(F2)= 1/4, and p(F3) = 1/2.
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