3.41 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 0.02, that the probability the athlete will not pass the standardized test is 0.15, and that these are independent events. According to these estimates, what is the probability that this recruit will be eligible to play in college next year?