Actuarial Notes

SOA Exam P Sample Question 312

Study guide: Exam P-1

An actuary determines the following regarding an individual auto policyholder:

  • (i) The probability that the auto policyholder will file a medical claim is 0.30.
  • (ii) The probability that the auto policyholder will file a property claim is 0.42.
  • (iii) The probability that the auto policyholder will file a medical claim or a property claim is 0.60.

Calculate the probability that the auto policyholder will file exactly one type of claim, given that the policyholder will not file both types of claims.

  • A) 0.45
  • B) 0.48
  • C) 0.52
  • D) 0.55
  • E) 0.60

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