Question

5.6.3 test (cst): applications of probability
a football coach is trying to decide: when a team is ahead late in the game, which strategy is better?

• play the

egular\ defense.

• play a \prevent\ defense that guards against long gains but makes short gains easier.

the coach reviews the outcomes of 100 games.
chart with columns win, loss, total; rows regular defense, prevent defense, total (values: regular defense: win=38, loss=12, total=50; prevent defense: win=29, loss=21, total=50; total: win=67, loss=33, total=100)
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.

Explanation:

Answer:

Probability of winning with regular defense: \( \frac{38}{50} = 0.76 \)
Probability of winning with prevent defense: \( \frac{29}{50} = 0.58 \)
Conclusion: The probability of winning is higher when playing regular defense (0.76 > 0.58), so the regular defense strategy is better for winning when ahead late in the game.