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Random variables A, B, C take values in some finite set S, and we are also given that P(A = a, B = b, C

Random variables A, B, C take values in some finite set S, and we are also given that P(A = a, B = b, C = c) > 0, a, b, c. Finally we are given that A B C and A C B are Markov chains. Show that A is independent of B, C.

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