Home
Class 12
MATHS
There are eight girls among whom two are...

There are eight girls among whom two are sisters, all of them are t sit on a round table. Find the probability that the two sisters do not sit together.

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(7)`
Total number of ways is `7!` Favorable number of ways is `7! - 2 (6!)`. Hence, the probability is
`(7! - 2(6!))/(7!) = 1 - (2)/(7) = (5)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.3|7 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise (Single)|46 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.1|6 Videos

  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|24 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

Similar Questions

Explore conceptually related problems

If n persons are seated on a round table, what is the probability that two named individuals will be neighbours?

Three coins are tossed together. Find the probability of getting exactly two heads.

In a two children family, find the probability that there is at least one girl in a family.

Seven white and 3 black balls are placed in a row. What is the probability if two black balls do not occur together ?

A box contains 10 mangoes out of which 4 are rotten. Two mangoes are taken out together. If one of them is found to be good, then find the probability that the other is also good.

Two friends Aa n dB have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of Aa n dB . The probability that all the tickets go to the daughters of A is 1/20. Find the number of daughters each of them have.

CENGAGE-PROBABILITY I -Exercise 9.2
  1. If two fair dices are thrown and digits on dices are a and b, then fin...

    Text Solution

    |

  2. There are n letters and n addressed envelopes. Find the probability...

    Text Solution

    |

  3. Find the probability of getting total of 5 or 6 in a single throw o...

    Text Solution

    |

  4. Two integers are chosen at random and multiplied. Find the probabil...

    Text Solution

    |

  5. If out of 20 consecutive whole numbers two are chosen at random, th...

    Text Solution

    |

  6. A bag contains 3 red, 7 white, and 4 black balls. If three balls ar...

    Text Solution

    |

  7. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

    Text Solution

    |

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

    Text Solution

    |

  9. A five-digit number is formed by the digit 1, 2, 3, 4, 5 without repet...

    Text Solution

    |

  10. Five persons entered the lift cabin on the ground floor of an 8-flo...

    Text Solution

    |

  11. Two friends Aa n dB have equal number of daughters. There are three ci...

    Text Solution

    |

  12. A bag contains 12 pairs of socks. Four socks are picked up at random. ...

    Text Solution

    |

  13. There are eight girls among whom two are sisters, all of them are t si...

    Text Solution

    |

  14. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

    Text Solution

    |

  15. A pack of 52 cards is divided at random into two equals parts. Find th...

    Text Solution

    |

  16. Let the nine different letters A, B, C… I in {1, 2, 3, …, 9}. Then f...

    Text Solution

    |

  17. If two distinct numbers m and n are chosen at random form the set {1, ...

    Text Solution

    |

  18. Two number aa n db aer chosen at random from the set of first 30 natur...

    Text Solution

    |

  19. Twelve balls are distribute among three boxes. The probability that th...

    Text Solution

    |