1. A randomly selected football player incurs a knee injury 2. A randomly şelected football player with a knee injury incurred the injury playing on grass.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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3 (a) A physical therapist at a certain university knows that the football team will play 40% of its
games on artificial turf this season. He also knows that football player's chances of incurring a
knee injury are 50% higher if he is playing artificial turf instead of grass. If player's probability
of knee injury artificial turf is 0.42 what is the probability that
1. A randomly selected football player incurs a knee injury
2. A randomly selected football player with a knee injury incurred the injury playing on grass.
(b) If the therapist is also interested in studying the relationship between foot injury and position
played. His data gathered over a three year period are summerised in the following table :
Offensive
Defensive
Offensive
Defensive
line
line
back field
back field
56
24
20
45
Number of players
Number injured
32
38
11
77
94
35
29
Total
Given that a randomly selected player incurred a foot injury what is the probability that he plays in
the (a) offensive line (b) defensive line (c) offensive back field (d) defensive back field.
Transcribed Image Text:3 (a) A physical therapist at a certain university knows that the football team will play 40% of its games on artificial turf this season. He also knows that football player's chances of incurring a knee injury are 50% higher if he is playing artificial turf instead of grass. If player's probability of knee injury artificial turf is 0.42 what is the probability that 1. A randomly selected football player incurs a knee injury 2. A randomly selected football player with a knee injury incurred the injury playing on grass. (b) If the therapist is also interested in studying the relationship between foot injury and position played. His data gathered over a three year period are summerised in the following table : Offensive Defensive Offensive Defensive line line back field back field 56 24 20 45 Number of players Number injured 32 38 11 77 94 35 29 Total Given that a randomly selected player incurred a foot injury what is the probability that he plays in the (a) offensive line (b) defensive line (c) offensive back field (d) defensive back field.
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