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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 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.
`P(X=Y)` is

A

`(1)/(4)`

B

`(5)/(12)`

C

`(1)/(2)`

D

`(7)/(12)`

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The correct Answer is:
B
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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  8. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

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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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