Calculate the Expected Value of the Game with the Given $P = \left[ \begin{array} { c c c c } 2 & 0 & - 1 & 2 \\- 1 & 0 & 0 & - 2 \\- 2 & 0 & 0 & 1 \\3 & 1 & - 1 & 1\end{array} \right]$

Essay

Calculate the expected value of the game with the given payoff matrix using the mixed strategy supplied.
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​ $P = \left[ \begin{array} { c c c c } 2 & 0 & - 1 & 2 \\- 1 & 0 & 0 & - 2 \\- 2 & 0 & 0 & 1 \\3 & 1 & - 1 & 1\end{array} \right]$ , $R = [ 0.5,0,0,0.5 ]$ , $C = [ 1,0,0,0 ] ^ { T }$