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Let A, B, C and D be events such that B = A', C D = 0, and P(A) = 1/4, P(B) = 3/4, P(C|A)

Let A, B, C and D be events such that B = A', C D = 0, and P(A) = 1/4, P(B) = 3/4, P(C|A) = 1/2, P(C|B) = 1/8, P(D|A) = 1/4 and P(D|B) = 1/8. Calculate P(C U D).

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