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 (a) `4/25` (b) `4/35` (c) `4/33` (d) `4/1155`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

A number is chosen at random from the first 50 positive integers. Find the probability that the chosen number is divisible by 4 or 5.

If two numbers a and b are-chosen at random from the 1st 30 natural numbers, find the probability that the expresion (a^2 -b^2) is divisible by 3.

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is (a) 1/15 (b) 14/15 (c) 1/5 (d) 4/5

The integers x and y are chosen at random with replacement from nine natural numbers 1,2,3,….8,9 find the probability that (x^2-y^2) is divisible by 2

Two numbers x and y are chosen at random (without replacement) from among the numbers 1,2,3,...,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  2. If the integers m and n are chosen at random between 1 and 100, then t...

    Text Solution

    |

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

    Text Solution

    |

  4. If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h ...

    Text Solution

    |

  5. Aa n dB are two independent events. C is event in which exactly one of...

    Text Solution

    |

  6. Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt...

    Text Solution

    |

  7. There are two red, two blue, two white, and certain number (greater th...

    Text Solution

    |

  8. A drawer contains a mixture of red socks and blue socks, at most 17 in...

    Text Solution

    |

  9. If the probability that the product of the outcomes of three rolls of ...

    Text Solution

    |

  10. If two loaded dice each have the property that 2 or 4 is three times a...

    Text Solution

    |

  11. An urn contains 3 red balls and n white balls. Mr. A draws two balls t...

    Text Solution

    |

  12. Suppose Aa n dB are two events with P(A)=0. 5a n dP(AuuB)=0. 8. Let P(...

    Text Solution

    |

  13. choose the correct answer from the given alternatives : 2.if A and B a...

    Text Solution

    |

  14. The probability of getting 9 dots with two unbiased dice is

    Text Solution

    |

  15. Match column I and column II

    Text Solution

    |

  16. Find the sum of the five digit numbers formed by the digits 2, 3, 4, 5...

    Text Solution

    |

  17. Three events A,B and C are mutually exclusive and exhaustive , if P(A)...

    Text Solution

    |

  18. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

    Text Solution

    |

  19. Find the probability that a randomly chosen three-digit number has ...

    Text Solution

    |

  20. A bag contains 5 white and 3 black balls. Four balls are successively ...

    Text Solution

    |