A coach recruits for a college team a star player who is currently a high school senior. In order to play next year, the senior must both complete high school with adequate grades and pass a standardized test. The coach estimates that the probability the athlete will fail to obtain adequate high school grades is .02, the probability the athlete will not pass the stan- dardized test is .15, and that these are independent events. According to these estimates, what is the probability this recuit will be eligible to play in college next year?