The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two

The accompanying payoff matrix depicts the possible outcomes for two players involved in a game of Rock, Paper, Scissors. If a player receives a payoff of 1, the player wins; if the player receives a payoff of ?1, the player loses; if both players receive 0 (zero) , the players tie. Brian's optimal strategy is to: $\begin{array}{lllc} &&&\text { Meg }\\&& \text { Rock } & \text { Paper } & \text { Scissors } \\\text { Brian }&\text { Rock } & 0,0 & -1,1 & 1,-1 \\&\text { Paper } & 1,-1 & 0,0 & -1,1 \\&\text { Scissors } & -1,1 & 1 .-1 & 0.0\end{array}$

A) always choose rock because Meg's dominant strategy is to choose paper.
B) choose rock with probability 0.75 and paper with probability 0.25 because Meg will choose paper with probability 0.50 and rock with probability 0.50.
C) always choose paper because Meg's dominant strategy is to choose rock.
D) choose rock with probability 0.33, paper with probability 0.33, and scissors with probability 0.33 because Meg's dominant strategy is to choose paper.
E) choose rock with probability 0.33, paper with probability 0.33, and scissors with probability 0.33 because neither he nor Meg has a dominant strategy.