Football teams $T_1$ and $T_2$ play two games against each other in the Premier League. It is assumed that the outcomes of the two games are independent of each other. The probabilities of $T_1$ winning, drawing and losing against $T_2$ are $\dfrac{1}{2}, \dfrac{1}{6}$ and $\dfrac{1}{3}$ respectively. Each team gets $3$ points for a win, $1$ point for a draw, and $0$ points for a loss in a game. Let $X$ and $Y$ denote the total points scored in these two games by team $T_1$ and $T_2$, respectively.
What will be the value of $P(X=Y)?$
- $1 / 3$
- $13 / 36$
- $1 / 36$
- $1 / 18$