AIR MATH

Math Question

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. \begin{tabular}{|c|c|c|c|} \hline & Win & Loss & Total \\ \hline Regular defense & 41 & 9 & 50 \\ \hline Prevent defense & 32 & 18 & 50 \\ \hline Total & 73 & 27 & 100 \\ \hline \end{tabular} 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.

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