Home
Class 14
MATHS
Three numbers are selected at random wit...

Three numbers are selected at random without replacement from the set of numbers {1, 2, 3, … n}. The conditional probability that the 3rd number lies between the 1st two. If the 1st number is known to be smaller than the 2nd, is

A

`1/3`

B

`2/3`

C

`5/6`

D

`7/12`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    QUANTUM CAT|Exercise QUESTION BANK|678 Videos
  • PROFIT , LOSS AND DISCOUNT

    QUANTUM CAT|Exercise QUESTION BANK|205 Videos

Similar Questions

Explore conceptually related problems

Three numbers are selected at random one by one with replacement from the numbers 1,2,3,….60. The probability that the A.M. of the numbers selected is 15 is.

Three integers are chosen at random without replacement from the 1 st 20 integers.The probability that their product is odd is

Three numbers are chosen at random without replacement from {1,2,3,...10}. The probability that the minimum of the chosen number is 3 or their maximum is 7, is:

Three integers are selected simultaneously from the set of integers {1,2,3,...,50 .The probability that the selected numbers are consecutive is equal to

The probability that a number selected at random from the set of numbers {1,2,3,...,100} is a square is

QUANTUM CAT-PROBABILITY-QUESTION BANK
  1. A and B throw alternately a pair of dice. A wins if he throws 6 before...

    Text Solution

    |

  2. a consignment of 15 record players contain 4 defectives .the record pl...

    Text Solution

    |

  3. In a test, an examinee either guesses or copies or knows the answer to...

    Text Solution

    |

  4. Given that the sum of two - negative quanties is 200 , the pr...

    Text Solution

    |

  5. A pack of cards consists of 9 cards numbered 1 to 9. three cards are d...

    Text Solution

    |

  6. Three numbers are selected at random without replacement from the set ...

    Text Solution

    |

  7. Two numbers b and c are chosen at random with replacement from the num...

    Text Solution

    |

  8. The probabilities that a student passes in Mathematics,Physics and Che...

    Text Solution

    |

  9. A student appears for tests A, B and C. The student is successful if h...

    Text Solution

    |

  10. If (1+4p)/p,(1-p)/4,(1-2p)/2 are probabilities of three mutually exc...

    Text Solution

    |

  11. A letter is takenout at random from 'ASSISTANT and another is taken ou...

    Text Solution

    |

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

    Text Solution

    |

  13. A man takes a step forward with probability 0.4 and back ward with pro...

    Text Solution

    |

  14. Three of the six vertices of a regular hexagon are chosen at random. T...

    Text Solution

    |

  15. A man takes a step forward with probability 0.4 and back ward with pro...

    Text Solution

    |

  16. Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 ...

    Text Solution

    |

  17. The digits 1,2,3,....,9 are written in random order to form a nine dig...

    Text Solution

    |

  18. To communicate with each other, computers make use of over a network.

    Text Solution

    |

  19. Zuckerberg ,my facebook friend, recently returned from his honeymoon t...

    Text Solution

    |

  20. In a regular decagon there are diagonals of distinct sizes. If all the...

    Text Solution

    |