Consider a two-player game with the following payoff matrix: Player A has strategies 'Up' and 'Down'; Player B has strategies 'Left' and 'Right'. The payoff pairs (A, B) are: (Up, Left) = (2, 2), (Up, Right) = (0, 3), (Down, Left) = (3, 0), (Down, Right) = (1, 1). Analyze this matrix to identify all Pure Strategy Nash Equilibria. Discuss whether a Mixed Strategy Nash Equilibrium exists and calculate the probabilities for each player if it does.