QJEEAdv05Mab659: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Mab659 Solution: A person goes to office either by car, scooter, bus or train,…

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