Home
Class 12
MATHS
A set A has n elements. A subset P of A ...

A set A has n elements. A subset P of A is selected at random. Returning the elements of P, the set A is formed again and then a subset Q is selected from it. Find the probability that P and Q have no common element.

A

3667

B

421

C

2141

D

1793

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY -2

    DISHA PUBLICATION|Exercise EXERCISE - 1 : CONCEPT BUILDER|60 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos
  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

Similar Questions

Explore conceptually related problems

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.

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 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

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 are disjoint sets, 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 =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 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 cup Q=A , is

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 is a subset of P, is

DISHA PUBLICATION-PROBABILITY -2-EXERCISE - 2 : CONCEPT APPLICATOR
  1. The probabilities of four cricketers A, B, C and D scoring more than 5...

    Text Solution

    |

  2. consider an event E=E(1)capE(2)capE(3) find the value of P(E) if P(E(1...

    Text Solution

    |

  3. A set A has n elements. A subset P of A is selected at random. Returni...

    Text Solution

    |

  4. Rahul has to write a project, Probability that he will get a project c...

    Text Solution

    |

  5. Assume that each born child is equally likely to be a boy or a girl...

    Text Solution

    |

  6. For any two independent events E1 and E2 P{(E1uuE2)nn(bar(E1)nnbar(E2)...

    Text Solution

    |

  7. Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6...

    Text Solution

    |

  8. If P(B)=3/5,P(A//B)=1/2andP(AcupB)=4/5, then P(AcupB)'+P(A'cupB) is eq...

    Text Solution

    |

  9. The probability of India winning a test match against West Indies i...

    Text Solution

    |

  10. A coin is tossed three times in succession. If E is the event that ...

    Text Solution

    |

  11. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  12. For two events A and B, if P(A)P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/(...

    Text Solution

    |

  13. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

  14. Two aeroplanes I and II bomb a target in succession. The probabilities...

    Text Solution

    |

  15. If A and B play a series of games in each of which probability that A ...

    Text Solution

    |

  16. In a competitive examination, an examinee either guesses or copies or ...

    Text Solution

    |

  17. Suppose X is a random variable which takes values 0,1,2,3,.... and P(X...

    Text Solution

    |

  18. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |

  19. A and B are two independent witnesses in a case. The probability that ...

    Text Solution

    |

  20. Girl students constitute 10% of I year and 5% of II year at Roorkee Un...

    Text Solution

    |