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 You can find the link to the questions below: https://www.soa.org/globalassets/assets/Files/Edu/edu-exam-p-sample-quest.pdf The link to the answers below: https://www.soa.org/globalassets/assets/Files/Edu/edu-exam-p-sample-sol.pdf Check out my other channel Rumi's Life: https://www.youtube.com/channel/UCJmFvrltr0Xht150O4lgTIA Email: [email protected]