Actuarial Notes

SOA Exam P Sample Question 498

Study guide: Exam P-1

In a large state, drivers are divided into three distinct age groups. The following table provides the probabilities that a one-car accident, involving a driver in a given age group, occurs in an urban, suburban or rural location in that state.

Driver's age Urban Suburban Rural
Under 25 7/10 1/5 1/10
25-65 1/4 3/5 3/20
Over 65 1/20 7/20 3/5

Fifty-five percent of one-car accidents involve a driver who is under 25, and fifteen percent involve a driver who is over 65.

A one-car accident occurs in a suburban location.

Calculate the probability that the driver is under 25.

  • A) 0.11
  • B) 0.17
  • C) 0.32
  • D) 0.55
  • E) 0.76

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