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Football teams T(1) "and" T(2) have to p...

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 probabillities 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 equal to

A

`1/4`

B

`5/12`

C

`1/2`

D

`7/12`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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