Use the Following Information to Answer Questions the Probabilities of Obtaining

question 41

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 offense?

• A) always run
• B) always 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:

Normal Faults

Fractures in the Earth's crust where one block of rock moves down relative to another block due to tensional forces.

Joints

Natural fractures or separations in rocks without displacement, often resulting from the rock's response to stress.

Folds

Structures formed by the bending and warping of rocks under pressure during geological processes, often seen in mountain ranges.

Joints

Natural fractures or separations in rocks without displacement, often formed by stresses such as contraction, expansion, or tectonic activities.