The probability of event A, given that event B has occurred, can be found using Bayes's Theorem. P(A). P(BA)
P(AB)=
P(A). P(B| A) + P(A') .P(BA')
Use Bayes's Theorem to find P(AB) using the probabilities shown below.
P(A)= 0.15, P(A') = 0.85, P(B] A)=0.5, and P(BA') = 0.7
The probability of event A, given that event B has occurred, is
(Round to the nearest thousandth as needed.)