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`

A

`1/231`

B

`4/1155`

C

`1/55`

D

`1/5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))|21 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|20 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 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

AAKASH INSTITUTE ENGLISH-PROBABILITY-ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))
  1. If P(A) = 1/2, P(B) = 1/3, P( C) = 1/2 and P(AcapB)= P(BcapC) = P(Ccap...

    Text Solution

    |

  2. If P(A) = 1/2 and P(AcapB)=1/3, then the probability that A happens bu...

    Text Solution

    |

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

    Text Solution

    |

  4. A number is selected from first 100 natural numbers. The probability t...

    Text Solution

    |

  5. Five horses are in a race. Mr. A selects two of the horses at random ...

    Text Solution

    |

  6. 5 cards are drawn from a pack of 52 cards. The probability that these ...

    Text Solution

    |

  7. Let n = 2^3 4^5 6^8 5^4. A positive factor is taken atrandom from the ...

    Text Solution

    |

  8. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  9. 12 members of a committee are to sit down at random round a table. Pro...

    Text Solution

    |

  10. Two integers x and y are chosen with replacement out of the set {0, 1,...

    Text Solution

    |

  11. Dialling a telephone number an old man forgets the last two digits ...

    Text Solution

    |

  12. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  13. Four digit number is formed from all possible ways. The probability th...

    Text Solution

    |

  14. If P(B)=3//4, P(AnnBnnC)=1//3 and P( A nnBnn C )=1//3, t h e nP(BnnC...

    Text Solution

    |

  15. Given two events A and B. If odds against A are as 2 : 1 and those in ...

    Text Solution

    |

  16. A bag contains 5 brown and 4 white socks. A man pulls out two socks. ...

    Text Solution

    |

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

    Text Solution

    |

  18. Out of 20 consecutive numbers, two are chosen at random, the probabili...

    Text Solution

    |

  19. Out of n persons sitting at a round table, three, A, B, C are chosen a...

    Text Solution

    |

  20. In a singing competition a group of 10 pepole, participate, each perso...

    Text Solution

    |