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 PUBLICATION|Exercise Comprehension|14 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Match|2 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Exercise 9.3|7 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|470 Videos
  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

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 (a) 14/19 (b) 5/19 (c) 5/6 (d) 7/15

If three numbers are drawn are drawn at random from the frist 30 natural numbers, then the probability that they are in A.P.

A number is chosen at random from the first 11 natural numbers, then the probability that the chosen number is even, is -

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

A number is chosen at random among the first 120 natural numbers. What is the probability that the number chosen being a multiple of 5 or 15 ?

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.

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.

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

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

CENGAGE PUBLICATION-PROBABILITY I -MCQ
  1. Two numbers a ,b are chosen from the set of integers 1, ,2 3, ..., 39....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Two dice are thrown at a time. find the probability that the sum of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If A and B are two events, the probability that exactly one of them oc...

    Text Solution

    |

  18. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  19. If A and B are two events such that P(A) = 3/4 and P(B) = 5/8, then (c...

    Text Solution

    |

  20. If A and B are mutually exclusive events, then (a) P(A) le P(barB) (b)...

    Text Solution

    |