Actuarial Notes

SOA Exam P Sample Question 188

Study guide: Exam P-1

A company sells two types of life insurance policies (P and Q) and one type of health insurance policy. A survey of potential customers revealed the following:

  • i) No survey participant wanted to purchase both life policies.
  • ii) Twice as many survey participants wanted to purchase life policy P as life policy Q.
  • iii) 45% of survey participants wanted to purchase the health policy.
  • iv) 18% of survey participants wanted to purchase only the health policy.
  • v) The event that a survey participant wanted to purchase the health policy was independent of the event that a survey participant wanted to purchase a life policy.

Calculate the probability that a randomly selected survey participant wanted to purchase exactly one policy.

  • A) 0.51
  • B) 0.60
  • C) 0.69
  • D) 0.73
  • E) 0.78

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