SOA Exam P Question 7 | General Probability

An insurance company estimates that 40% of policyholders who have only an auto policy will renew next year and 60% of policyholders who have only a homeowners policy will renew next year. The company estimates that 80% of policyholders who have both an auto policy and a homeowners policy will renew at least one of those policies next year. Company records show that 65% of policyholders have an auto policy, 50% of policyholders have a homeowners policy, and 15% of policyholders have both an auto policy and a homeowners policy. Using the company’s estimates, calculate the percentage of policyholders that will renew at least one policy next year. (A) 20% (B) 29% (C) 41% (D) 53% (E) 70% 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]