Home
Class 12
MATHS
A bag contains a white and b black balls...

A bag contains `a` white and `b` black balls. Two players, `Aa n dB` alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. `A` begins the game. If the probability of `A` winning the game is three times that of `B ,` then find the ratio `a : b`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

A bag contains a white and b black balls.Two players,A and B alternately draw a balls.Two the bag,replacing the ball each time after the draw till one of them draws a white ball and wins the game.A begins the game.If the probability of A winning the game.if the xx that of B, then find the ratio a:b

An urn contains w white balls and b black balls. Two players Q and R alternatively draw a ball with replacement from the urn. The player who draws a white ball first wins the game. If Q begins the game ,The probability of his winning the game is

An urn contains 'w white balls and 'b' black balls.Two players Q and R alternatively draw a ball with replacement from the urn. The player who draws a white ball first wins the game. If Q begins the game, the probability of his winning the game is

A and B toss a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability that B will win the game.

A bag contains 4 white and 5 black balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is white.

A bag contains 3 red,4 white and 7 black balls.The probability of drawing a red or a black ball is

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. Find the probability that the balls drawn is not white

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A bag contains a white and b black balls. Two players, Aa n dB alterna...

    Text Solution

    |

  2. A person goes to office either by car, scooter, bus or train probabili...

    Text Solution

    |

  3. A six faced fair die is thrown until 1 comes. Then , the probability t...

    Text Solution

    |

  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  5. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

    Text Solution

    |

  7. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  8. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  9. One Indian and four American men and their wives are to be seated rand...

    Text Solution

    |

  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  12. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  13. Two aeroplanes I and II bomb a target in succession. The probabilit...

    Text Solution

    |

  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  15. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

    Text Solution

    |

  16. A die is thrown. Let A be the event that the number obtained is gre...

    Text Solution

    |

  17. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a six is obtained Let X denote t...

    Text Solution

    |

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

    Text Solution

    |

  20. A fair die is tossed repeatedly until a six obtained. Let X denote the...

    Text Solution

    |

  21. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |