(Solved): Consider the coin-matching game played by Richie (row) and Chuck (column) with the payoff matrix \\ ...

Consider the coin-matching game played by Richie (row) and Chuck (column) with the payoff matrix \\[ \\left[\\begin{array}{rr} 3 & -2 \\\\ -2 & 2 \\end{array}\\right] \\text {. } \\] (a) Find the optimal strategies for Richie and Chuck. (b) Find the value of the game, (Round your answer to two decimal places.) \\( E= \\) Does it favor one player over the other? It favors Richie. It favors Chuck. It favors neither.