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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)`

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Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  5. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

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  9. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

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  10. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

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  11. The minimum number of times a fair coin needs to be tossed, so that th...

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  12. Let n1 and n2 be the number of red and black balls respectively,in box...

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  13. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

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  14. Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...

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  15. A computer producing factory has only two plants T(1) and T(2). Plant ...

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  16. Football teams T1 and T2 have to play two games against each other. It...

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  17. Football teams T(1)and T(2) have to play two games are independent. Th...

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  18. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

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  19. If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, t...

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  20. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

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