The probability of event A, given that event B has occurred, can be found using Bayes's Theorem.

P(AB)=P(A)P(BA)P(A)P(BA)+PAPBA

Use Bayes's Theorem to find

P(AB)

using the probabilities shown below.

P(A)=0.35,

PA=0.65,

P(BA)=0.3,

and PBA=0.5

Question content area bottom

Part 1

The probability of event A, given that event B has occurred, is

enter your response here.

(Round to the nearest thousandth as needed.)