Probability of car crash

Question

Among 400 randomly selected drivers in the 20−24 age​ bracket, 10

were in a car crash in the last year. If a driver in that age bracket is randomly​ selected, what is the approximate probability that he or she will be in a car crash during the 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 ______.

​(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?

No

Yes

Is the probability high enough to be of concern to those in the

20−24 age​ bracket?

Yes

No

Click to select your answer(s).

 

Answer 1

10 out of 400 means P(an accident/20-24)=10/400=1/40=0.025=2.5%

If less than 5% is unlikely, then 2.5% probability makes it unlikely a randomly selected driver in that age group would be in an accident.

No, it's not of concern if you only get concerned about likely events. But even an unlikely event is worth concern to the point of attempting to drive more safely, especially when insurance for the young is already very high, and would get even higher with an accident.

You might want to look at the car accidents. Were they minor fender benders or accidents with injuries and fatalities, or just car damage? The less damage or injuries, the less concern you probably would have.