Question: 6. Prove that P (A | B) > P (A) if and only if P (B | A) > P (B). In probability, if for

6. Prove that P (A | B) > P (A) if and only if P (B | A) > P (B). In probability, if for two events A and B, P (A | B) > P (A), we say that A and B are positively correlated. If P (A | B) < P (A), A and B are said to be negatively correlated.

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