Home
Class 12
MATHS
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

`11/36`

B

`1/3`

C

`13/36`

D

`1/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

Similar Questions

Explore conceptually related problems

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

Two persons throw a dice alternately till one of them gets a 'six' and wins the game. Find their respective probabilities of winning.

A and B toss a coin alternately till one of them tosses a head and wins the game. If A starts the game, find their respective probability of winning.

If k_1 and k_2 are rate constants at temperatures T_1 and T_2 respectively, then according to Arrhenius equation,

A and B throw a die alternatively till one of them gets a ‘6’ and wins the game. Find their respective probabilities of winning, if A starts first.

A and B throw a pair of dice alternately, till one of them gets a total of 10 and wins the game. Find their respective probabilities of winning if A starts first.

True/False: The probability of losing a game is 0.7. The probability of winning the game is 0.3.

A school team won 6 games this year against 4 games won last year. What is the percent increase?

MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
  1. The square of the shortest distance between the lines : vecr=s(hati-ha...

    Text Solution

    |

  2. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

    Text Solution

    |

  3. If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb|, then |veca xx vecb|...

    Text Solution

    |

  4. If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2, then ...

    Text Solution

    |

  5. Consider the lines : L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)...

    Text Solution

    |

  6. Value of lambda so that the planes: x-y+z+1=0, lambdax+3y+2z-3=0, 3x+l...

    Text Solution

    |

  7. If A and B are two events of an expeiment with P(A)=1/4, P(AuuB)=1/2, ...

    Text Solution

    |

  8. One function is selected at random from all functions of the set S={1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

    Text Solution

    |

  12. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

    Text Solution

    |

  13. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

    Text Solution

    |

  14. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

    Text Solution

    |

  15. A fair die is tossed repeated until a six is obtained. Let X denote th...

    Text Solution

    |

  16. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  17. Let n1 and n2 be the number of red and black balls respectively, in bo...

    Text Solution

    |

  18. Let n1 and n2 be the number of red and black balls respectively, in bo...

    Text Solution

    |

  19. For all sets A and B, (A – B)∪ (A∩ B) = A. Is this statement true?

    Text Solution

    |

  20. For all sets A, B and C, if A⊂ C and B ⊂ C,then A∪ B ⊂ C.

    Text Solution

    |