Exam P Practice Problem 110 – likelihood of auto accidents
Problem 110A
An actuary studied the likelihood of accidents in a oneyear period among a large group of insured drivers. The following table gives the results.
Age Group  Percent of Drivers  Probability of 0 Accidents  Probability of 1 Accident 

1620  15%  0.20  0.25 
2130  25%  0.35  0.40 
3150  35%  0.60  0.30 
5170  20%  0.67  0.23 
71+  5%  0.50  0.35 
Suppose that a randomly selected insured driver in the studied group had at least 2 accidents in the past year. Calculate the probability that the insured driver is in the age group 2130.
Problem 110B
An auto insurance company performed a study on the frequency of accidents of its insured drivers in a oneyear period. The following table gives the results of the study.
Age Group  Percent of Drivers  Probability of At Least 1 Accident 

1620  10%  0.30 
2140  20%  0.20 
4165  35%  0.10 
66+  35%  0.12 
A randomly selected insured driver from the study was found to have no accidents in the oneyear period.
Calculate the probability that the insured driver is from the age group 1620.
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