Home
Class 12
MATHS
Three numbers are chosen at random witho...

Three numbers are chosen at random without replacement from {1, 2, 3, …, 10}. Find the probability that the smallest of the chosen numbers is 3, or the greatest one is 7.

A

`(11)/(20)`

B

`(7)/(20)`

C

`(11)/(20)`

D

`(7)/(40)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|13 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

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:

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers from an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}.

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}. (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is (1) 3/8 (2) 1/5 (3) 1/4 (4) 2/5

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is (1) 3/8 (2) 1/5 (3) 1/4 (4) 2/5

Three numbers are chosen at random from numbers 1 to 30. Write the probability that the chosen number are consecutive.

Four numbers are chosen at random from {1,2,3,......, 40} . The probability that they are not consecutive is

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

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 numbers are chosen from 1 to 20. Find the probability that they are consecutive.

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise For Session 1
  1. A problem in mathematics is given to three students A ,B ,C and their ...

    Text Solution

    |

  2. A dice is thrown three times and the sum of the thrown numbers in 15. ...

    Text Solution

    |

  3. Three faces of a fair die are yellow, two faces red and one blue. The ...

    Text Solution

    |

  4. A speaks truth in 75% and B in 80% of the cases. In what percentage of...

    Text Solution

    |

  5. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  6. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  7. Seven white balls and three black b alls are randomly placed in a row....

    Text Solution

    |

  8. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  9. If (1 + 3p)/(3), (1 - p)/(4) and (1 - 2p)/(2) are the probabilities of...

    Text Solution

    |

  10. three identical dice are rolled . Find the probability that the same n...

    Text Solution

    |

  11. If the letters of the word ASSASSIN are written down in a row, the pro...

    Text Solution

    |

  12. A box contains 2 balck, 4 white, and 3 balls. One ball is drawn at ran...

    Text Solution

    |

  13. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  14. There are 2 vans each having numbered seats, 3 in the front and 4 at t...

    Text Solution

    |

  15. A and B stand in a ring with 10 other persons . If the arrangement of ...

    Text Solution

    |

  16. The first twelve letters of the alphabet are written down at random ....

    Text Solution

    |

  17. If 6 boys and 6 grils sit in a row at random, then the probability tha...

    Text Solution

    |

  18. If from each of the three boxes containing 3 whiter and 1 black, 2 ...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. if letters of the word MATHEMATICS are arranged then the probability t...

    Text Solution

    |