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.

**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.
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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