Home
Class 12
MATHS
The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9...

The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written in random order to form a nine digit number.Let p be the probability that this number is divisible by 36, find 9p.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|20 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

The digits 1,2,3,4,5,6,7,8 and 9 are written in random order to form a nine digit number. The probability that this number is divisible by 4, is

Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in random order. Let the probability that this number is divisible by 9 be p=a/b . Where a, b are relatively prime positive integers, then the value of a + b is ……….

Digits 1, 2, 3, ….. 9 are written in a random order to form a 9 digit number. If the number happens to be divisible by 4. Then probability that it will be divisible by 36 is given by

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and arranges them in descending order to form a three digit number. Mr. B randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} and also arranges them in descending order to form a 3 digit number. Q. The probability that A and B has the same 3 digit number is :

A 4 digit number is randomly picked from all the 4 digit numbers, then the probability that the product of its digit is divisible by 3 is :

Find the number of all three digit natural numbers which are divisible by 9.

A five digit number is formed with the digits 1,2,3,4,5 without repetition. Find the probability that the number is divisible by 4.

A five digit number is formed with the digits 1,2,3,4,5 without repetition. Find the probability that the number is divisible by 4.

If 9 digits (1 to 9) are arranged in the spaces of number 1263 _______6, what is the probability that the number is divisible by 9.

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written in random order t...

    Text Solution

    |

  2. about to only mathematics

    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. about to only mathematics

    Text Solution

    |

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

    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 (b, p=(1)/(4)), if the probability of at...

    Text Solution

    |