Probability I: Introductory Ideas

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 randomly selected football player incurs a knee injury?
  • A randomly selected football player with a knee injury incurred the injury playing on grass?

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