An insurance company selected $1600$ drivers at random in a particular city to find a relationship between age and accidents. The data is as below:
Age group of drivers Number of accidents in one year $(0, 1, 2, 3, >3)$ $18-25$ $320, 125, 75, 45, 30$ $25-40$ $400, 45, 50, 15, 10$ $40-55$ $150, 85, 13, 8, 10$ Above $55$ $150, 25, 17, 20, 7$
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
| Age group of drivers | Number of accidents in one year $(0, 1, 2, 3, >3)$ |
| $18-25$ | $320, 125, 75, 45, 30$ |
| $25-40$ | $400, 45, 50, 15, 10$ |
| $40-55$ | $150, 85, 13, 8, 10$ |
| Above $55$ | $150, 25, 17, 20, 7$ |
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
- A$\frac{1}{32}$
- B$\frac{1}{23}$
- C$\frac{1}{50}$
- D$\frac{1}{25}$
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