Actuarial Notes

SOA Exam P Sample Question 184

Study guide: Exam P-1

An actuary compiles the following information from a portfolio of 1000 homeowners insurance policies:

  • i) 130 policies insure three-bedroom homes.
  • ii) 280 policies insure one-story homes.
  • iii) 150 policies insure two-bath homes.
  • iv) 30 policies insure three-bedroom, two-bath homes.
  • v) 50 policies insure one-story, two-bath homes.
  • vi) 40 policies insure three-bedroom, one-story homes.
  • vii) 10 policies insure three-bedroom, one-story, two-bath homes.

Calculate the number of homeowners policies in the portfolio that insure neither one-story nor two-bath nor three-bedroom homes.

  • A) 310
  • B) 450
  • C) 530
  • D) 550
  • E) 570

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