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
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
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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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.

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.
**Options:**
**A.**
\( P(\text{win} \mid \text{regular}) = 0.82 \)
\( P(\text{win} \mid \text{prevent}) = 0.64 \)
Conclusion: You are more likely to win by playing regular defense.
**B.**
\( P(\text{win} \mid \text{regular}) = 0.33 \)
\( P(\text{win} \mid \text{prevent}) = 0.67 \)
Conclusion: You are more likely to win by playing regular defense.
**C.**
\( P(\text{win} \mid \text{regular}) = 0.82 \)
\( P(\text{win} \mid \text{prevent}) = 0.64 \)
Conclusion: You are more likely to win by playing prevent defense.
**D.**
\( P(\text{win} \mid \text{regular}) = 0.33 \)
\( P(\text{win} \mid \text{prevent}) = 0.67 \)
Conclusion: You are more likely to win by playing prevent defense.
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