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Question 93

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In American football the "third down and short" situation occurs often. The probabilities of obtaining a first down, shown below, are dependent on the choice of the offense and the anticipated choice of the defense.  Defense  Run  Pass  Offense  Run 0.20.8 Pass 0.50.1\begin{array}{lll}&&&\text { Defense }\\&&\text { Run } &&\text { Pass }\\\text { Offense }&\text { Run } & 0.2 && 0.8 \\&\text { Pass } & 0.5 && 0.1\end{array}
-What is the optimal mixed strategy for the offense?

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The offense runs 4/1...

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