SOA Exam P Question 9 | General Conditional Probability
An insurance company examines its pool of auto insurance customers and gathers the
following information:
(i) All customers insure at least one car.
(ii) 70% of the customers insure more than one car.
(iii) 20% of the customers insure a sports car.
(iv) Of those customers who insure more than one car, 15% insure a sports car.
Calculate the probability that a randomly selected customer insures exactly one car and
that car is not a sports car.
(A) 0.13
(B) 0.21
(C) 0.24
(D) 0.25
(E) 0.30
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