The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) • P(B|A) P(A) • P(B|A) + P (A') •P(B|A') P(A|B) = Use Bayes' Theorem to find P(A|B) using the...

Extracted text: The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) • P(B|A) P(A) • P(B|A) + P (A') •P(B|A') P(A|B) = Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = 75%, P (A') = 25%, P(B|A) = 59%, and P (B|A') = 44% %3D The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)