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`

A

`1:1`

B

`1:2`

C

`2:1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 straight Objective Correct )|14 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer )|21 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 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

MCGROW HILL PUBLICATION-PROBABILITY-Solved Examples (Level 1 Single Correct )
  1. Fifteen coupons are numbered 1, 2, 3,…, 15 respectively. Seven coupons...

    Text Solution

    |

  2. A student appears for tests I, II and III. The student is successful i...

    Text Solution

    |

  3. A bag contains a white and b black balls. Two players, Aa n dB alterna...

    Text Solution

    |

  4. A determinant is chosen at random from the set of all determinant o...

    Text Solution

    |

  5. A fair coin is tossed 100 times. The probability of getting tails an ...

    Text Solution

    |

  6. The probability that at least one of Aa n dB occurs is 0.6. If Aa n dB...

    Text Solution

    |

  7. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  8. Let A and B be two events such that P(A)=0.3 and P(AuuB)= 0.8. If A an...

    Text Solution

    |

  9. A pair of unbiased dice are rolled together till a sum of either 5 or ...

    Text Solution

    |

  10. E and F are two independent events. The probability that both e and F ...

    Text Solution

    |

  11. A man is known to speak the truth 3 out of 4 times. He throws a dice ...

    Text Solution

    |

  12. If A is an independent event it self then P(A)=

    Text Solution

    |

  13. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  14. One ticket is selected at random from 100 tickets numbered 00,01,02...

    Text Solution

    |

  15. If three six-faced fair dice are thrown together, the probability that...

    Text Solution

    |

  16. Four persons are selected at random out of 3 men, 2 women and 4 chi...

    Text Solution

    |

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

    Text Solution

    |

  18. If A and B are two events, the probability that exactly one of them oc...

    Text Solution

    |

  19. If A and B are two events such that P(A) gt 0 and P(B) lt 1, then P(A|...

    Text Solution

    |

  20. For a biased die, the probabilities for the different faces to turn up...

    Text Solution

    |