Home
Class 12
MATHS
A composite number is selected at ran...

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be remainder is `14//19` b. `5//19` c. `5//6` d. `7//15`

A

`14//19`

B

`5//19`

C

`5//6`

D

`7//15`

Text Solution

Verified by Experts

The correct Answer is:
A

The number of composite numbers in 1 to 30 is n(S) = 19.
The number of composite numbers when divided by 5 leaves a remainder is n(E) = 14. Therefore, the required probability is `14//19`.
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|24 Videos
  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

Similar Questions

Explore conceptually related problems

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.

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 number is selected at random from the first twenty-five natural numbers. If it is a composite number, then it is divided by 5 . But if it is not a composite number, it is divided by 2 . The probability that there will be no remainder in the division is

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

Three integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3 is 194//285 b. 1//57 c. 13//19 d. 3//4

Three integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3 is 194//285 b. 1//57 c. 13//19 d. 3//4

An integer is chosen at random from the first 20 positive integers.Find the probability that it (i)An even number (ii)Divisible by 5 (iii)A prime number.

What is the the sum of first 30 natural numbers? A)464 B)465 C)462 D)461

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

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. A is a set containing n different elements. A subset P of 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

    |