Actuarial Notes

SOA Exam P Sample Question 468

Study guide: Exam P-1

Drivers are classified as either high-risk or low-risk. Ten percent of drivers are classified as high-risk. The risk classification of each driver remains the same from this year to next year.

The probability that a driver classified as high-risk is involved in an accident is 0.12 for this year and, independently, 0.12 for next year. The probability that a driver classified as low-risk is involved in an accident is 0.05 for this year and, independently, 0.05 for next year.

Calculate the probability that a driver is involved in an accident next year, given that the driver is involved in an accident this year.

  • A) 0.004
  • B) 0.014
  • C) 0.057
  • D) 0.065
  • E) 0.099

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