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A person goes to the office either by a ...

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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