Actuarial Notes

SOA Exam P Sample Question 661

Study guide: Exam P-1

A group of four buildings are near each other on a coastline. A statistician models the probability distribution of the number of buildings in the group that will be damaged by high tides this year, as shown in the table below.

n 0 1 2 3 4
Probability that exactly n buildings are damaged by high tides 0.920 0.015 0.010 0.020 0.035

Calculate the probability that at least one of these buildings is damaged by high tides this year given that at least one of these buildings is undamaged by high tides this year.

  • A) 0.0466
  • B) 0.0800
  • C) 0.0829
  • D) 0.5625
  • E) 0.7500

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