A person goes to the office either by a car, or scooter, or bus, the probability of which being $\frac{2}{7},\frac{3}{7},\frac{2}{7}$ respectively. The probability that he reaches office late if he takes a car, or scooter, or bus is $\frac{2}{9},\frac{1}{9},\frac{4}{9}$ 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

• A

  $7$
• Correct answer
  B

  $14$
• C

  $\frac{21}{2}$
• D

  $\frac{31}{2}$

Hence, the correct answer is option: 'B'.