SOA Exam P Question 11 | General Probability

An actuary studying the insurance preferences of automobile owners makes the following conclusions: (i) An automobile owner is twice as likely to purchase collision coverage as disability coverage. (ii) The event that an automobile owner purchases collision coverage is independent of the event that he or she purchases disability coverage. (iii) The probability that an automobile owner purchases both collision and disability coverages is 0.15. Calculate the probability that an automobile owner purchases neither collision nor disability coverage. (A) 0.18 (B) 0.33 (C) 0.48 (D) 0.67 (E) 0.82 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]