Home
Class 12
MATHS
S is a set containing n elements. If two...

S is a set containing n elements. If two subsets A and B of S picked at random from the set of all subset of S. Then the probability that A and B have no common element.

A

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

B

`(2//3)^(n)`

C

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

D

`(4//5)^(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise-I|125 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 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 of A is again chosen at random. Find the probability that (i) Q is subset of P(ii) the number of elements in P is more than the number of elements in Q.

AAKASH SERIES-PROBABILITY-Exercise-II
  1. A set A contains 10 elements. A function from A to itself is formed . ...

    Text Solution

    |

  2. A mapping is selected at random from the set of all mappings from the ...

    Text Solution

    |

  3. S is a set containing n elements. If two subsets A and B of S picked a...

    Text Solution

    |

  4. If 6 letters are placed at random in 6 addressed envelopes. Then the o...

    Text Solution

    |

  5. A={x(1),x(2),x(3),x(4),x(5)}, B={y(1),y(2),y(3),y(4),y(5)}. A one one ...

    Text Solution

    |

  6. If 10 identical coins are distributed among 4 children at random. The ...

    Text Solution

    |

  7. There are 10 stations between two cities A and B . A train is to stop ...

    Text Solution

    |

  8. If 5 different things are placed at random in 3 different boxes then t...

    Text Solution

    |

  9. If three people are chosen ata random, then the probability that no tw...

    Text Solution

    |

  10. Four persons entered the lift cabin on the ground floor of a 5-floor h...

    Text Solution

    |

  11. Three squares of a chess board are chosen at random, the probability t...

    Text Solution

    |

  12. If four squares are chosen at random on a chess board, then the probab...

    Text Solution

    |

  13. There are 10 pairs of shoes in a cup board from which 4 shoes are pick...

    Text Solution

    |

  14. There are 10 pairs of shoes in a cupboard from which 4 shoes are picke...

    Text Solution

    |

  15. There are 10 pairs of shoes in a cupboard from which 4 shoes are picke...

    Text Solution

    |

  16. There are 10 pairs of shoes in a cupboard from which 4 shoes are picke...

    Text Solution

    |

  17. There are 20 pairs of shoes in a closet. Out of them 4 shoes are selec...

    Text Solution

    |

  18. 3 out of 6 vertices of a regular hexagon are chosen at a time at rando...

    Text Solution

    |

  19. Using the vertices of a polygon having 12 sides a triangle is construc...

    Text Solution

    |

  20. Out of 10 persons sitting at a round table, three persons are selected...

    Text Solution

    |