A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? • Play the "regular" defense. • Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Win Loss Total Regular defense 41 9 50 Prevent defense 32 18 50 Total 73 27 100 Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion

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A football coach is trying to decide: When a team is ahead late in the game,
which strategy is better?
Play the "regular" defense.
• Play a "prevent" defense that guards against long gains but makes short
gains easier.
The coach reviews the outcomes of 100 games.
Win
Loss
Total
Regular defense
41
9.
50
Prevent defense
32
18
50
Total
73
27
100
Compare the probability of winning when playing regular defense with the
probability of winning when playing prevent defense. Draw a conclusion
Transcribed Image Text:A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. • Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Win Loss Total Regular defense 41 9. 50 Prevent defense 32 18 50 Total 73 27 100 Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion
Compare the probability of winning when playing regular defense with the
probability of winning when playing prevent defense. Draw a conclusion
based on your results.
A. P(win | regular) = 0.82
P(win | prevent) = 0.64
Conclusion: You are more likely to win by playing regular defense.
B. P(win | regular) = 0.33
P(win | prevent) = 0.67
Conclusion: You are more likely to win by playing regular defense.
C. P(win | regular) = 0.82
P(win | prevent) = 0.64
Conclusion: You are more likely to win by playing prevent defense.
D. P(win | regular) = 0.33
P(win | prevent) = 0.67
Conclusion: You are more likely to win by playing prevent defense.
Transcribed Image Text:Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results. A. P(win | regular) = 0.82 P(win | prevent) = 0.64 Conclusion: You are more likely to win by playing regular defense. B. P(win | regular) = 0.33 P(win | prevent) = 0.67 Conclusion: You are more likely to win by playing regular defense. C. P(win | regular) = 0.82 P(win | prevent) = 0.64 Conclusion: You are more likely to win by playing prevent defense. D. P(win | regular) = 0.33 P(win | prevent) = 0.67 Conclusion: You are more likely to win by playing prevent defense.
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