  We study a general $2 \times 2$ symmetric, entangled, quantum game. When one
player has access only to classical strategies while the other can use the full
range of quantum strategies, there are ``miracle'' moves available to the
quantum player that can direct the result of the game towards the quantum
player's preferred result regardless of the classical player's strategy. The
advantage pertaining to the quantum player is dependent on the degree of
entanglement. Below a critical level, dependent on the payoffs in the game, the
miracle move is of no advantage.
