Actuarial Notes

SOA Exam P Sample Question 533

Study guide: Exam P-1

This year, each of the ten employees of a company has probability 0.2 of having at least one accident. The occurrences of accidents among different employees are mutually independent.

Of the ten employees, six are in department A. The other four are in department B.

Exactly three of the ten employees each have at least one accident.

Calculate the probability that at least one of these accidents occurs to an employee in department B.

  • A) 0.201
  • B) 0.500
  • C) 0.590
  • D) 0.784
  • E) 0.833

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