Wherever there is risk, there are opportunities for actuaries. And the recent financial crisis has further highlighted the skills actuaries bring to the table. Watch this new Actuaries in Action video to hear what some of today's actuaries say about the future of the profession and the increasing demand for actuaries, especially in nontraditional roles.
An insurance company issues life insurance policies in three separate categories: standard, preferred, and ultra-preferred. Of the company’s policyholders, 50% are standard, 40% are preferred, and 10% are ultra-preferred. Each standard policyholder has probability 0.010 of dying in the next year, each preferred policyholder has probability 0.005 of dying in the next year, and each ultra-preferred policyholder has probability 0.001 of dying in the next year. A policyholder dies in the next year. What is the probability that the deceased policyholder was ultra-preferred?