Home
Class 12
MATHS
A is a set containing n elements, A subs...

A is a set containing n elements, A subset P (may be void also) is selected at random from set A and the set A is then reconstructed by replacing the elements of P. A subset Q (may be void also) of A is again chosen at random. The probability that

A

`(""^(2n) C_(n))/(2^(2n))`

B

`(1)/(""^(2n) C_(n))`

C

`(1 . 3 . 5…. (2n -1))/(2^(n)., n!)`

D

`(3^(n))/(4^(n))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The probability that P =Q, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cup Q=A , is

A is a set having n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of A. A subset Q of A is again chosen at random. Find the probability that P and Q have no common elements.

Let A be a set containing elements. A subset P of the set A is chosen at random. The set A is reconstructed by replacing the elements of P, and another subset Q of A is chosen at random. The probability that P cap Q contains exactly m (m lt n) elements, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The probability that Q contains just one element more than P, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P and Q have equal number of elements, is

A is a set containing n elements . A subet P of A is chosen at random. The set A is reconstructed by replacing the elements of P.A subet Q is again chosen at random. The number of ways of selecting P and Q, is .

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cap Q contain just one element, is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cup Q contain just one element, is

P is a set containing n elements . A subset A of P is chosen and the set P is reconstructed by replacing the element of A. B such that A and B have no common elements, is

VMC MODULES ENGLISH-PROBABILITY-LEVEL - 1
  1. Three of six vertices of a regular hexagon are chosen at random. The ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A person draws 2 cards from a well shuffled pack of cards, the cards a...

    Text Solution

    |

  5. Let A be a set consisting of n elements. The probability of selecting ...

    Text Solution

    |

  6. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  7. The number of ordered pairs (m,n),m,n in{1,2,...,100} such that 7^m + ...

    Text Solution

    |

  8. India play two matches each with West Indies and Australia. In any ...

    Text Solution

    |

  9. Thirteen persons take their places at round table, show that it is fiv...

    Text Solution

    |

  10. Find the probability that a leap year, selected at random, will con...

    Text Solution

    |

  11. Let A= sets of all letter in the word MATHEMATICS and B= sets of all...

    Text Solution

    |

  12. A husband and wife appear in an interview for two vacancies for the ...

    Text Solution

    |

  13. An integer is chosen at random from the first two hundred positive in...

    Text Solution

    |

  14. Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys...

    Text Solution

    |

  15. Three letters, to each of which corresponds an envelope, are placed in...

    Text Solution

    |

  16. A six-faced dice is so biased that it is twice as likely to show an ev...

    Text Solution

    |

  17. If n biscuits are distributed among N beggars, find the chance that a ...

    Text Solution

    |

  18. An integer is chosen at random from the numbers ranging from 1 to 50. ...

    Text Solution

    |

  19. A committee of five is to be chosen from a group of 9 people. The prob...

    Text Solution

    |

  20. A box contains 24 identical balls of which 12 are white and 12 are bla...

    Text Solution

    |