SOA Exam P Sample Question 641
Study guide: Exam P-1
A homeowner has insurance for three types of loss: fire, flood, and theft. This year, the homeowner has probability 0.9 of experiencing no loss due to fire, probability 0.9 of experiencing no loss due to flood, and probability 0.8 of experiencing no loss due to theft. The frequencies of the three types of loss are independent.
Calculate the probability that a homeowner experiences a loss due to fire, given that the homeowner experiences exactly one type of loss.
- A)
0.072 - B)
0.235 - C)
0.250 - D)
0.306 - E)
0.346
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