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 `(1)/(2),(1)/(6) and (1)/(3)` respectively. Each team gets 3 points for a win. 1 point for a draw and 10 pont 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.
A. `(1)/(4)`
B. `(5)/(12)`
C. `(1)/(2)`
D. `(7)/(12)`
