According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A) • P(B| A) + P (A) •P(BIA) Use Bayes' Theorem to find P(A| B) using the probabilities shown below. P(A| B)= 5 1 1 P(A) = ₁, P (A') = =, P(B| A): and P (BIA) 7' 1 2 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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A: Dear students as per guidelines we solve only first three subparts only.

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