Actuarial Notes

SOA Exam P Sample Question 528

Study guide: Exam P-1

An actuary makes the following observations about an insurer's fire and flood insurance policies:

i) The probability that a client purchases neither policy exceeds the probability that a client purchases both policies by 0.20.

ii) The probability that a client purchases both policies is positive.

iii) The probability that a client purchases a fire policy given that the client purchases a flood policy is twice the probability that a client purchases a flood policy given that the client purchases a fire policy.

Calculate the probability that a client purchases a flood policy.

  • A) 0.27
  • B) 0.33
  • C) 0.40
  • D) 0.53
  • E) 0.80

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