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Football teams $$T_1$$ and $$T_2$$ have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of $$T_1$$ winning, drawing and losing a game against $$T_2$$ are $$\frac{1}{2}, \frac{1}{6}$$ and $$\frac{1}{3}$$ respectively. Each teamgets 3 points for a win, 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams $$T_1$$ and $$T_2$$ respectively, after two games.