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Football teams T1 and T2 have to play tw...

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 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.P(X>Y) is

A

`(1)/(4)`

B

`(5)/(12)`

C

`(1)/(2)`

D

`(7)/(12)`

Text Solution

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The correct Answer is:
B
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