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Suppose A, B , and C are events.

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Suppose A, B , and C are events. The probability of A given B , relative to P(|C), is the same as the probability of A given B and C (relative to P ). That is,

A.

P(A,B|C) P(B|C) =P(A|B,C)

B.

P(A,B|C) P(B|C) =P(B|A,C)

C.

P(A,B|C) P(B|C) =P(C|B,C)

D.

P(A,B|C) P(B|C) =P(A|C,B)

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