JEE Advanced 2016 Paper 2

Next 2 questions are based on the paragraph 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 team gets 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