To find the probability that a licensed driver between the ages of 25 and 34 was involved in an accident, we need to consider the given data and follow these steps:
1. Identify the relevant data:
- Drivers in accidents (ages 25-34): 3740 (in thousands)
- Licensed drivers (ages 25-34): 35,712 (in thousands)
2. Calculate the probability:
- The probability is found by dividing the number of drivers in accidents by the number of licensed drivers.
- Probability [tex]\( P \)[/tex] = (Number of drivers in accidents) / (Number of licensed drivers)
3. Convert the probability to a percentage:
- Multiply the probability by 100 to convert it to a percentage.
Let's proceed step-by-step:
1. Number of drivers in accidents: 3740
2. Number of licensed drivers: 35,712
3. Calculate the probability:
[tex]\[
P = \frac{3740}{35712}
\][/tex]
4. Convert to a percentage:
[tex]\[
P(\text{percentage}) = \frac{3740}{35712} \times 100
\][/tex]
After performing these calculations, the answer is:
[tex]\[
P(\text{percentage}) = 10.472670250896057\%
\][/tex]
Therefore, the probability that a licensed driver between the ages of 25 and 34 was involved in an accident is 10.5%.
The closest answer choice provided in the options is:
B. 10.5%
