Question

among 300 randomly selected drivers in the 20 - 24 age bracket, 13 were in a car crash in the last year. if a driver that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during next year? is it unlikely for a driver in that age bracket to be involved in a car crash during a year? is the resulting value high enough to be of concern to those in the 20 - 24 age bracket? consider an event to be unlikely if its probability is less than or equal to 0.05.
the probability that a randomly selected person in the 20 - 24 age bracket will be in a car crash this year is approximately 0.043. (type an integer or decimal rounded to the nearest thousandth as needed.)
would it be unlikely for a driver in that age bracket to be involved in a car crash this year?
yes
no

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Identify values

Number of drivers in car - crash = 13 (favorable outcomes), total number of drivers = 300.

Step3: Calculate probability

Probability = $\frac{13}{300}\approx0.043$

Step4: Determine likelihood

Since $0.043\leq0.05$, it is unlikely.

Answer:

Yes