Suppose that Juan can choose to get home from work by car or bus. When he chooses to get home by car, he arrives home after 7 p. m. 14 percent of the time.

When he chooses to get home by bus, he arrives home after 7 p. m. 62 percent of the time.

Because the bus is cheaper, he uses the bus 83 percent of the time.

What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p. m.?