Home
Class 12
MATHS
2n boys are randomly divided into two su...

`2n` boys are randomly divided into two subgroups containint `n` boys each. The probability that eh two tallest boys are in different groups is `n//(2n-1)` b. `(n-1)//(2n-1)` c. `(n-1)//4n^2` d. none of these

A

`(n)/(2n-1)`

B

`(n-1)/(2n -1)`

C

`(2n -1)/(4n^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise LEVEL - 2|49 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

2n boys are randomly divided into two subgroups containing n boys each. The probability that the two tallest boys are in different groups is

A draws a card from a pack of n cards marked 1,2,ddot,ndot The card is replaced in the pack and B draws a card. Then the probability that A draws a higher card than B is (n+1)//2n b. 1//2 c. (n-1)//2n d. none of these

Find sum of sum_(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^(n-1)+1 (d) None of these

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

Suppose n ( >=3) persons are sitting in a row. Two of them are selected at random. The probability that they are not together is (A) 1- 2/n (B) 2/(n-1) (C) 1- 1/n (D) nonoe of these

The value of lim_(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s 1 (b) -1 (c) 0 (d) none of these

In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose common difference is 2, and the last (2n+1) terms are in G.P. whose common ratio is 0.5 if the middle terms of the A.P. and LG.P. are equal ,then the middle terms of the sequence is (n .2 n+1)/(2^(2n)-1) b. (n .2 n+1)/(2^n-1) c. n .2^n d. none of these

The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)/((n-1)!(n+1)!) b. ((2n)!)/((n-1)!(n+1)!) c. ((2n)!)/((2n-1)!(2n+1)!) d. none of these

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

VMC MODULES ENGLISH-PROBABILITY-LEVEL - 1
  1. Three six faced dice are tossed together, then the probability that ex...

    Text Solution

    |

  2. If the letters of the word REGULATIONS be arranged at random, find t...

    Text Solution

    |

  3. 2n boys are randomly divided into two subgroups containint n boys each...

    Text Solution

    |

  4. In a bag there are three tickets numbered 1,2,3. A ticket is drawn at ...

    Text Solution

    |

  5. A pack of cards consists of 15 cards numbered 1 to 15. Three cards are...

    Text Solution

    |

  6. There are m persons sitting in a row. Two of the mare selected at rand...

    Text Solution

    |

  7. A elevator starts with m passengers and stops at n floors (mleqn). The...

    Text Solution

    |

  8. Fifteen persons, among whom are A and B, sit down at random on a round...

    Text Solution

    |

  9. A and B play a game where each is asked to select a number from 1 to 2...

    Text Solution

    |

  10. Three persons A, B and C are to speak at a function along with five ot...

    Text Solution

    |

  11. A fair die is thrown 20 times. The probability that on the 10th throw,...

    Text Solution

    |

  12. There is a five-volume dictionary among 50 books arranged on a shelf i...

    Text Solution

    |

  13. The probability that a teacher will give an unannounced test during an...

    Text Solution

    |

  14. There are 5 duplicate and 10 original items in an automonile shop and ...

    Text Solution

    |

  15. Three letters are written to different persons , and the addresses on ...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. The probability that the 13^(th) day of any randomly chosen month is a...

    Text Solution

    |

  18. Three of six vertices of a regular hexagon are chosen at random. The ...

    Text Solution

    |

  19. The probability that out of 10 person, all born in June, at least two ...

    Text Solution

    |

  20. A is a set containing n elements, A subset P (may be void also) is sel...

    Text Solution

    |