Find probability that bill drove to work


Bill commutes to work in business district of Boston. He takes train 2 5 of time and drives 3 5 of time (when he visits clients). If he takes train, then he reaches home by 6:30 P.M. 84% of time; if he drives, then he reaches home by 6:30 P.M. 51% of the time. If Bill reaches home by 6:30 P.M., find probability that he drove to work?

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Mathematics: Find probability that bill drove to work
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