A physical therapist at Enormous State University knows that the football team will play 40 percent of its games on artificial turf this season. He also knows that a football player’s chances of incurring a knee injury are 50 percent higher if he is playing on artificial turf instead of grass. If a player’s probability of knee injury on artificial turf is 0.42, what is the probability that (a) A randomly selected football player incurs a knee injury? (b) A randomly selected football player with a knee injury incurred the injury playing on grass?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A physical therapist at Enormous State University knows that the football team will
play 40 percent of its games on artificial turf this season. He also knows that a
football player’s chances of incurring a knee injury are 50 percent higher if he is
playing on artificial turf instead of grass. If a player’s probability of knee injury on
artificial turf is 0.42, what is the probability that
(a) A randomly selected football player incurs a knee injury?
(b) A randomly selected football player with a knee injury incurred the injury playing
on grass?

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