Question

A person goes to office either by car, scooter, bus or train probability of which being 1/7, 3/7, 2/7 and 1/7 respectively. Probability that he reaches offices late. if he takes car, scooter, bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that he reached office in time, then what is the probability that he travelled by a car?

Answer 1

As, the statement shows problem is to be related to Baye's law. 

Let C, S, B, T be the events when person is going by car, scooter, bus or train respectively.