Actuarial Notes

SOA Exam P Sample Question 9

Study guide: Exam P-1

An insurance company examines its pool of auto insurance customers and gathers the following information:

  • (i) All customers insure at least one car.
  • (ii) 70% of the customers insure more than one car.
  • (iii) 20% of the customers insure a sports car.
  • (iv) Of those customers who insure more than one car, 15% insure a sports car.

Calculate the probability that a randomly selected customer insures exactly one car and that car is not a sports car.

  • A) 0.13
  • B) 0.21
  • C) 0.24
  • D) 0.25
  • E) 0.30

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Concepts tested

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