Home
Class 12
MATHS
A three-digit number is selected at rand...

A three-digit number is selected at random from the set of all three-digit numbers. The probability that the number selected has all the three digits same is `1//9` b. `1//10` c. `1//50` d. `1//100`

A

`1//9`

B

`1//10`

C

`1//50`

D

`1//100`

Text Solution

Verified by Experts

The correct Answer is:
D
Three-digit numbers are 100, 101, …, 999. Total number of such numbers is 900. The three-digit numbers (which have all same digits) are 111, 222, 333, …, 999. Favorable number of cases is 9. Therefore, the probability is `9//900 = 1//100`.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE|Exercise Exercise (Multiple)|8 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise (Comprehension)|14 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.3|7 Videos

  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|37 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

Similar Questions

Explore conceptually related problems

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

A number was chosen at random from the first 300 three digits natural number. Find the probability of it ending with a zero.

Probability of all 3-digit numbers having all the digits same is

Three different numbers are selected at random from the set A=(1,2,3,...,10) The probability that the product of two of the numbers is equal to the third is

number was chosen at random from the first 300 three digits natural numbers.Find the probability of it ending with a zero.(1)/(15)

Four digits 1,2,4 and 6 are selected at random to form a four digit number.What is the probability that the number so formed,would be divisible by 4?

A three digit number is written down by random choice of the digits 1 to 9 with replacements. The probability that atleast one of the digits chosen is a perfect square is

Find the number of all the three-digit numbers in Hindu-Arabic System.

Three integers are selected simultaneously from the set of integers {1,2,3,...,50 .The probability that the selected numbers are consecutive is equal to

Three digit numbers are formed using the digits 0,2,4,6,8. A number is chosen at random out of these numbers what is the probability that this number has the same digits? a.(1)/(16)b .(16)/(25) c.(1)/(645) d.(1)/(25)

CENGAGE-PROBABILITY I -Exercise (Single)
  1. Four die are thrown simultaneously. The probability that 4 and 3 appea...

    Text Solution

    |

  2. A 2n digit number starts with 2 and all its digits are prime, then the...

    Text Solution

    |

  3. In a n- sided regular polygon, the probability that the two diagonal c...

    Text Solution

    |

  4. A three-digit number is selected at random from the set of all thre...

    Text Solution

    |

  5. Two numbers a ,b are chosen from the set of integers 1, ,2 3, ..., 39....

    Text Solution

    |

  6. One mapping is selected at random from all mappings of the set S={1,2,...

    Text Solution

    |

  7. A composite number is selected at random from the first 30 natural ...

    Text Solution

    |

  8. Forty team play a tournament. Each team plays every other team just ...

    Text Solution

    |

  9. If three square are selected at random from chess board. then the prob...

    Text Solution

    |

  10. A bag has 10 balls. Six ball are drawn in an attempt and replaced. The...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Three integers are chosen at random from the set of first 20 natural ...

    Text Solution

    |

  14. Five different marbles are placed in 5 different boxes randomly. Then ...

    Text Solution

    |

  15. There are 10 prizes, five As, there Bs and two Cs, placed in identi...

    Text Solution

    |

  16. A car is parked among N cars standing in a row, but not at either end....

    Text Solution

    |

  17. Let A be a set containing elements. A subset P of the set A is chosen ...

    Text Solution

    |

  18. Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face...

    Text Solution

    |

  19. If a and b are chosen randomly from the set consisting of number 1, 2,...

    Text Solution

    |

  20. Mr. A lives at origin on the Cartesian plane and has his office at (4,...

    Text Solution

    |