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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
Total
50
Regular defense
Loss
8
15
42
Prevent defense
35
77
50
100
Total
23
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
O
A Pwintregular) - 0.35
Awiniprevent) - 0.65
Conclusion: You are more likely to win by playing prevent de
twin regular -0.35
win prevent) - 0.65
Conclusion You are more likely to win by playing
OC. Awgular) - 084
Conclusion You are more
OD ular) -084
yo


User Wickywills
by
5.9k points

1 Answer

5 votes

Answer:P(win|regular) = 0.84

P(win|prevent) = 0.70

Conclusion: You are more likely to win by playing regular defense.

Explanation:

Divide the regular defense wins(42) but the total of regular defense (50) and you get 0.84.

Then divide the prevent defense wins(35) by the total of prevent defense(50) and you get 0.70.

Since the regular defense is more than the prevent defense, then you are more likely to win by playing the regular defense. (:

User DataOrc
by
6.6k points