Home
Class 12
MATHS
If three distinct number are chosen rand...

If three distinct number are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3 is `4//25` b. `4//35` c. `4//33` d. `4//1155`

Text Solution

Verified by Experts

The correct Answer is:
0.29
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

If three distinct number are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3 is (a) 4/25 (b) 4/35 (c) 4/33 (d) 4/1155

If 4 distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all 4 of them are either divisible by 3 or divisible by 5 is

Three distinct numbers are chosen at random from the first 15 natural numbers. The probability that the sum will be divisible by 3 is

Three numbers are chosen at random from the first 20 natural numbers. The probability that their product is even is

Three numbers are chosen at random from the first 20 natural numbers. The probability that they are not consecutive is

Three distinct number are selected from first 100 natural numbers. The probability that all the numbers are divisible by 2 and 3 is _________

Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible by 3 is :

Six distinct numbers are chosen from the first 10 natural numbers. The probability that 6 is the third largest of those chosen number is

Two number aa n db aer chosen at random from the set of first 30 natural numbers. Find the probability that a^2-b^2 is divisible by 3.

An integer is chosen at random from list two hundred natural numbers then the probability that integer is either divisible by 2,6 or 8 is

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

    |