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The probabilities of events A, B and C occurring are P(A)=0.35, P(B)=0.45 and P(C)=0. Assuming that A, B, or C has occurred, the probabilities of...

The probabilities of events A, B and C occurring are P(A)=0.35, P(B)=0.45 and P(C)=0.20.  Assuming that A, B, or C has occurred, the probabilities of another event, X, occurring are P(X|A) = 0.80, P(X|B) = 0.65, and P(X|C) = 0.30.

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