Rose currently holds a black 2 and a red 9 in her hand, and Colin holds a
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Question:
Rose currently holds a black 2 and a red 9 in her hand, and Colin holds a red 3 and a black 8 in his hand; the two players are about to play a game whereby each player simultaneously chooses a card from their hand and places it face down on the table. At that time, the cards are revealed. If the played cards have the same color, Rose wins, but if the played cards have different colors, Colin wins. The amount won is equal to the number displayed on the card played by the winning player. Model this game as a two-by-two zero sum game. Then, solve the game and give the value.
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