Mathematics · Probability
A doctor is to visit a patient. The probabilities that he will travel by train, bus, scooter, or other means of transport are respectively 310, 15, 110, and 25. The probabilities that he will be late are 14, 13, and 112 if he comes by train, bus, and scooter respectively; but if he comes by other means of transport, he will not be late. When he arrives, he is late. The probability that he came by bus is:
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