Actuarial Notes

SOA Exam P Sample Question 363

Study guide: Exam P-1

In a group of 30,000 health insurance policyholders, 12,000 are in Class A and 18,000 are in Class B.

This year, each policyholder in Class A has probability 0.98 of not undergoing hospitalization; each policyholder in Class B has probability 0.995 of not undergoing hospitalization.

A randomly chosen policyholder in the group undergoes hospitalization this year.

Calculate the probability that this policyholder is in Class A.

  • A) 0.011
  • B) 0.020
  • C) 0.396
  • D) 0.400
  • E) 0.727

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