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 insurer offers a health plan to the employees of a large company. As part of this plan, the individual employees may choose exactly two of the supplementary coverages A, B, and C, or they may choose no supplementary coverage. The proportions of the company's employees that choose coverages A, B, and C are 1⁄4 , 1⁄3 and 5⁄12 respectively.
Determine the probability that a randomly chosen employee will choose no supplementary coverage.