Actuarial Notes

SOA Exam P Sample Question 265

Study guide: Exam P-1

A health insurer sells policies to residents of territory X and territory Y. Past claims experience indicates the following:

  • i) 20% of the total policyholders from territory X and territory Y combined filed no claims.
  • ii) 15% of the policyholders from territory X filed no claims.
  • iii) 40% of the policyholders from territory Y filed no claims.

Calculate the probability that a randomly selected policyholder was a resident of territory X, given that the policyholder filed no claims.

  • A) 0.09
  • B) 0.27
  • C) 0.50
  • D) 0.60
  • E) 0.80

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