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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?

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