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A person goes to his office by using dif...

A person goes to his office by using different means of transport on different days. It is know that the probabilities that he will come by train, bus, scooter or by car are respectively `1/10, 3/10, 2/10 " and " 4/10`. The probabilities that he will be late are `1/4, 1/5, 1/6, " and " 1/3` if he comes by train, bus, scooter and car respectively, on one day when he reaches office, he is late. What is the probability he has come by train?

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