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If P(A|B) = P(A), can we then say P (A|C, B) = P(A|C)? If no, can you provide a counterexample? Can you provide an example

If P(A|B) = P(A), can we then say P (A|C, B) = P(A|C)? If no, can you provide a counterexample?

Can you provide an example if the answer is NO with explanation, please.

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