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Football teams T(1)and T(2) have to play...

Football teams `T_(1)and T_(2)` have to play two games are independent. The probabilities of `T_(1)` winning, drawing and lossing a game against `T_(2)` are `1/2,1/6and 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

`(11)/(36)`

B

`(1)/(3)`

C

`(13)/(36)`

D

`(1)/(2)`

Text Solution

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The correct Answer is:
C
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