An insurer offers a health plan to employers 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 proportion 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 choosesupplementary A and B.