Given: The probabilities of three events, A, B, and C, occurring are P(A)= 0.35, P(B)= 0.45, and P(C)=0.2. Assuming that A,B,or C has occurred, the probabilities of another event, X, occurring are P(X|A) = 0.8, P(X|B) = 0.65, and P(X|C) = 0.3. Find P(A|X), P(B|X), and P(C|X).
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