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Conditional probability is the art of updating probabilities based on given information. What is the probability that the sidewalk is wet? And what if we know that it rained a few hours ago? See more

Which of the following equalities is not necessarily true if \(A, B\) are events?

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\[ P(A \mid B) = P(B \mid A).\]

which of the following must be true of \( A \) and \( B, \) if \(P(A \cap B) > 0?\)

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