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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) . P(B | A) P(A| B)

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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) . P(B | A) P(A| B) = P(A) . P(B| A) + P(A') . P (B|A') Use Bayes' Theorem to find P(A | B) using the probabilities shown below. P(A ) = -, P(A') = , P(B| A ) = , and P ( B| A' ) = 70 The probability of event A, given that event B has occurred, is P(A| B) =] (Round to the nearest thousandth as needed.)

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