Actuarial Notes

SOA Exam P Sample Question 313

Study guide: Exam P-1

The probability that a homeowners policyholder reports a property claim in a year increases by 25% per year. Conversely, the probability that a homeowners policyholder reports a liability claim in a year decreases by 25% per year.

The probability that a homeowners policyholder reports both a property claim and a liability claim in Year 1 is 0.01. The event that a homeowners policyholder reports a property claim is independent of the event that the policyholder reports a liability claim.

Calculate the probability that a homeowners policyholder reports both a property claim and a liability claim in Year 9.

  • A) 0.005
  • B) 0.006
  • C) 0.010
  • D) 0.014
  • E) 0.015

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