Use the Following Information to Answer Questions the Probabilities of Obtaining

question 98

Multiple Choice

Use the following information to answer Questions The probabilities of obtaining a first down, shown below, are dependent on the choice of the offense and the anticipated choice of the defense. $\begin{array}{lll}&&&\text { Defense }\\&&\text { Run } &&\text { Pass }\\\text { Offense }&\text { Run } & 0.5 && 0.6 \\&\text { Pass } & 0.8 && 0.4\end{array}$
-In such situations, what is the optimal solution for the defense?

• A) always anticipate a run
• B) always anticipate a pass
• C) play the mixed strategy \(\left( \frac { 2 } { 5 } , \frac { 3 } { 5 } \right)\)
• D) play the mixed strategy \(\left( \frac { 4 } { 5 } , \frac { 1 } { 5 } \right)\)

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Definitions:

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