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Give an example of events A,B and C each of probability strictly between 0 and 1 such that P(A B) = P(A)P(B), P(A C) =

Give an example of events A,B and C each of probability strictly between 0 and 1 such that P(A B) = P(A)P(B), P(A C) = P(A)P(C), and P(AB C) = P(A)P(B)P(C), but P(B C) = P(B)P(C). Reflect all details on the example.

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