Home
Class 12
MATHS
Out of 3n consecutive integers, there ar...

Out of `3n` consecutive integers, there are selected at random. Find the probability that their sum is divisible by 3.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Example|4 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

3 distinct integers are selected at random form 1, 2, 3, …, 20. find out the probability that the sum is divisible by 5

Two non negative integers are chosen at random. The probability that the sum of the square is divisible by 10, is

An integer is chosen from the first 200 integers. Find the probability that it is divisible by 6 or 8.

A positive integer N is selected so as to be 100ltNlt200. Then, the probability that it is divisible by 4 or 7, is

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : all Boys.

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : 2 boys and 1 girl.

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : all girls.

A die is rolled twice. Find the probability that the sum of the numbers on the dice is divisible by 3 or 4.

A single letter is selected at random from the word PROBABILITY the probability that it is a vowel is:

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Out of 3n consecutive integers, there are selected at random. Find ...

    Text Solution

    |

  2. find the derivative of sin x cos x

    Text Solution

    |

  3. A six-faced fair dice is shown until 1 comes. Then the probability tha...

    Text Solution

    |

  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  5. Three houses are available in a locality . Three persons apply for th...

    Text Solution

    |

  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

    Text Solution

    |

  7. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  8. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  9. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  12. A pair of four dice is thrown independently three times. The probabili...

    Text Solution

    |

  13. Two aeroplanes I and II bomb a target in succession. The probabilitie...

    Text Solution

    |

  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  15. Evluate int (cosx+x) dx

    Text Solution

    |

  16. A die is thrown. Let A be the event that the number obtained is grea...

    Text Solution

    |

  17. It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  19. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  20. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  21. In a binomial distribution B (n, p=(1)/(4)), if the probability of at...

    Text Solution

    |