Find the Expected Payoff $M$ Be the Matrix Game Having Payoff Matrix

Multiple Choice

Find the expected payoff.
-Let $M$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r } - 2 & 0 & 2 \\ 2 & - 1 & 3 \\ - 2 & 1 & 0 \end{array} \right]$ .
Find $E ( x , y )$ when $x = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]$ and $\mathbf { y } = \left[ \begin{array} { c } \frac { 1 } { 6 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 3 } \end{array} \right]$

A) $\frac { 13 } { 24 }$

B) $\frac { 5 } { 8 }$

C) $\frac { 7 } { 12 }$

D) $\frac { 1 } { 2 }$