Actuarial Notes

SOA Exam P Sample Question 20

Study guide: Exam P-1

Upon arrival at a hospital's emergency room, patients are categorized according to their condition as critical, serious, or stable. In the past year:

  • (i) 10% of the emergency room patients were critical;
  • (ii) 30% of the emergency room patients were serious;
  • (iii) the rest of the emergency room patients were stable;
  • (iv) 40% of the critical patients died;
  • (v) 10% of the serious patients died; and
  • (vi) 1% of the stable patients died.

Given that a patient survived, calculate the probability that the patient was categorized as serious upon arrival.

  • A) 0.06
  • B) 0.29
  • C) 0.30
  • D) 0.39
  • E) 0.64

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