Home
Class 12
MATHS
A car is parked among 'N' cars in a row,...

A car is parked among 'N' cars in a row, not at either end. On his return, the owner finds that exactly 'r' of the 'N' places are still occupied. What is the probability that both neighbouring places are empty ?

Text Solution

Verified by Experts

The correct Answer is:
`((N-r)(N-r-1))/((N-1)(N-2))`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(very short answer)|15 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(short answer type question)|5 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Solved Example|45 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

(i) Twelve balls are distributed at random among three boxes what is the probability that the first box will contain 3 balls ? (ii) If 'n' different biscuits are distributed amoong N beggers, find the chance that a particular begger receives exactly r ( lt n) biscuits.

In a smooth hemispherical shell of radius R, a rod of mass (sqrt3//2) kg is placed horizotally and is in equilibrium. The length of rod is R. Find the normal reaction at any end of the rod (in N). (Take g=10m//s^(2))

AAKASH SERIES-PROBABILITY-Additional Solved Example
  1. Let F be the set of all 4 digited numbers whose sum is 34. If a number...

    Text Solution

    |

  2. Two numbers are selected at random from 1,2,3,……100 and multiplied. Fi...

    Text Solution

    |

  3. A car is parked among 'N' cars in a row, not at either end. On his ret...

    Text Solution

    |

  4. Two squares are chosen at random from the small squares on a chess boa...

    Text Solution

    |

  5. If p and q are chosen at random from the set {1,2,3,4,5,6,7,8,9,10} wi...

    Text Solution

    |

  6. There are 100 stations between two stations A and B. A train is to sto...

    Text Solution

    |

  7. From a heap containing 10 pairs of shoes 6 shoes are selected at rando...

    Text Solution

    |

  8. (i) Twelve balls are distributed at random among three boxes what is t...

    Text Solution

    |

  9. Out of 3n consecutive integers, three are selected at random. Show tha...

    Text Solution

    |

  10. Two numbers X and Y are chosen at random from the set {1,2,……3n} . Fin...

    Text Solution

    |

  11. If three dice are rolled. Find the probability of getting sum 16 or ge...

    Text Solution

    |

  12. A number is chosen from the first 100 natural numbers. Find the probab...

    Text Solution

    |

  13. A box contains 2 red, 3 blue and 4 black balls. Three balls are drawn ...

    Text Solution

    |

  14. A contractor submitted tenders for 2 works. If 0.4,0.6,0.1 are the res...

    Text Solution

    |

  15. If A,B and C are mutually exclusive and exhaustive events such that P(...

    Text Solution

    |

  16. A die is loaded so that six turns up twice as often as one and three t...

    Text Solution

    |

  17. A couple has two children. Find the probability that both are male if ...

    Text Solution

    |

  18. Two dice are thrown. Find the conditional probability that two fives o...

    Text Solution

    |

  19. A pair of dice is thrown . Find the probability that the sum is 10 or ...

    Text Solution

    |

  20. A die is thrown 3 times. Find the probability of the event of getting ...

    Text Solution

    |