Bill commutes to work in the business district of Boston. He takes the train 2/5 of the time and drives 3/5 of the time (when he visits clients). If he takes the train, then he gets home by 6:30...

Bill commutes to work in the business district of Boston. He takes the train 2/5 of the time and drives 3/5 of the time (when he visits clients). If he takes the train, then he gets home by 6:30 p.m. 76% of the time; if he drives, then he gets home by 6:30 p.m. 50% of the time. If Bill gets home by 6:30 p.m., what is the probability that he drove to work? (Round your answer to three decimal places.)