A video system that can be installed outside of homes sends an alert to your phone when motion is detected. There are two systems to monitor motion. Neither one is entirely reliable, but one or both always go off when there is motion anywhere outside the house. Suppose that for motion in a certain location, the probability that detector A goes off and detector B does not go off is 0.35, and the probability that A does not go off is 0.27. What is the probability that B goes off?

0.65

0.27

0.38

0.40