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Consider two events A and B such that P(A) = 0.4 and P(B) = 0.7. Determine the maximum possible value for P(A B) and construct

Consider two events A and B such that P(A) = 0.4 and P(B) = 0.7. Determine the maximum possible value for P(A B) and construct an example such that this maximum value is achieved.

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