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A person goes to office either by car, s...

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 office 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?

Text Solution

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The correct Answer is:
`(1)/(7)`
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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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Knowledge Check

  • A person goes to the office either by a car, or scooter, or bus, the probability of which being (2)/(7),(3)/(7),(2)/(7) respectively. The probability that he reaches office late if he takes a car, or scooter, or bus is (2)/(9),(1)/(9),(4)/(9) respectively. If he reaches office in time, the probability that he travelled by car is k, then the value of 24k+7 is equal to

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    `(21)/(2)`
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