Home
Class 12
MATHS
A bag contains n white and n red balls. ...

A bag contains `n` white and `n` red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is `(2^n)/(^(2n)C_n)`

Text Solution

Verified by Experts

The correct Answer is:
`(2^n)/(.^(2n)C_(n))`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|54 Videos

  • PROBABILITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

  • PROBABILITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Fill in the blanks (Q-11- Q-15):|5 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

A bag contains n white and n red balls.Pairs of balls are drawn without replacement until the bag is empty.Show that the probability that each pair consists of one white and one red ball is (2^(n))/(2nC_(n))

. A bag contains n white, n black balls. Pair of balls are drawn without replacement until the bag is empty. Then Find the probability that each pair consists of one white and one black ball is

A bag contains n white and n black balls. Pairs of balls are drawn without replacement until the bag is empty. If the number of ways in which each pair consists of one black and one white ball is 576, then n is

A bag contains n white and n red balls. Pairs of balls are drawn without replacement until the bag is empty. If the number of ways in which each pair consists of one red and one white ball is 14400, then n is: (A) 120 (B) 144 (C) 5 (D) 10

A bag contains 20 white balls and 20 red balls (Assume that balls of same colour are distinguishable). Pairs of Balls are drawn at random without replacement until the bag is empty. The probability that each pair consists of one white ball and one red ball is (a^(b)*(c!)^(d))/(e!) , then find the no of proper divisors of a+b+c+d+e

A bag contains 3 White,3 black and 2 red balls.One by one three balls are drawn without replacement.Find the probability that third ballis red

A bag contains 3 White, 3Black and 2 Red balls. 3 balls are successively drawn without replacement. Find the probability that third ball is red.

A bag contains 7 green,4 white and 5 red balls.If four balls are drawn one by one with replacement,what is the probability that one is red?

A bag contains 5 white, 4 black and 2 red balls. Balls are drawn one by one without replacement. The probability that the 5^("th") ball is a red ball, is

FIITJEE-PROBABILITY-ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II
  1. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

    Text Solution

    |

  2. Find the number of ways in which two small squares can be selected on ...

    Text Solution

    |

  3. If the probability that two queens, placed at random on a chess board,...

    Text Solution

    |

  4. An unbiased dike, with faces numbered 1,2,3,4,5,6, is thrown n time...

    Text Solution

    |

  5. Suppoe a simple consist of the integers 1,2,….2n, the probability of c...

    Text Solution

    |

  6. A bag contains n white and n red balls. Pairs of balls are drawn witho...

    Text Solution

    |

  7. If p,q,r and s are the probabilities of raining at four different plac...

    Text Solution

    |

  8. From 4m+1 tickets numbered as 1,2 ,….4m+1…. Three tickets are chosen a...

    Text Solution

    |

  9. Two integers x and y are chosen (with replacement) out of the set {0,1...

    Text Solution

    |

  10. There are two red, two blue, two white, and certain number (greater ...

    Text Solution

    |

  11. Suppose f(x)=x^(3)+ax^2+bx+c.a,b,c are chosen respectively by throwing...

    Text Solution

    |

  12. 8n players P(1),P(2),P(3)……..P(8n) play a knock out tournament. It is ...

    Text Solution

    |

  13. A bag 'A' contains 2 white and 3 red balls, a beg 'B' contains 4 white...

    Text Solution

    |

  14. . A bag contains n white, n black balls. Pair of balls are drawn witho...

    Text Solution

    |

  15. Eight players P1, P2, P3, ...........P8, play a knock out tournament....

    Text Solution

    |

  16. Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} ar...

    Text Solution

    |

  17. Fourteen numbered balls (i.e.1,2,3…..,14) are divided in 3 groups rand...

    Text Solution

    |