Use the Following Information to Answer the Questions:
in American

Use the following information to answer the Questions:
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. $\begin{array}{lll}&&&\text { Defense }\\&&\text { Run } &&\text { Pass }\\\text { Offense }&\text { Run } & 0.2 && 0.8 \\&\text { Pass } & 0.5 && 0.1\end{array}$
-What is the optimal mixed strategy for the defense?