Home
Class 12
MATHS
A box has 100 pens of which 10 are defec...

A box has 100 pens of which 10 are defective. The probability that out of a sample of 5 pens drawn one by one with replacement and atmost one is defective is

A

44478

B

`1/2 (9/10)^(4)`

C

`1/2 (9/10)^(5)`

D

`(9/10)^(5) + 1/2(9/10)^(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos
  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

Choose the correct answer: In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is

A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bubls is drawn. The probability that none is defective is

A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective is

A box contains 144 pens of which 20 are defective and the others are good. A person will buy a pen if it is good and will not buy if it is defective. The shopkeeper draws one pen from the box at random and gives it to the person. What is the probability that the person (a) will buy it? (b) will not buy it?

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective . The shopkeeper drawn one pen at random and gives it to her. What is the probability that She will buy it?

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective . The shopkeeper drawn one pen at random and gives it to her. What is the probability that She will not buy it ?

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?

From a lot of 30 bulbs which include 6 detective, a sample of 4 balls is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.

It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?

From a well shuffed pack of playing cards , two cards are drawn one by one with replacement . The probability that both are aces is :

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. In a college of 30 students fail in physics, 25 fail in mathematics an...

    Text Solution

    |

  2. A and B are two students. Their chances of solving a problem correctly...

    Text Solution

    |

  3. A box has 100 pens of which 10 are defective. The probability that out...

    Text Solution

    |

  4. A problem in mathematics is given to three stdents A,B,C and their r...

    Text Solution

    |

  5. If A and B are two mutually exclusive events , then :

    Text Solution

    |

  6. A and B play a game where each is asked to select a number from 1 t...

    Text Solution

    |

  7. The probability of India winning a test match against Indies is 1/2 ...

    Text Solution

    |

  8. A fair die is tossed eight times . The probability that a thrid six...

    Text Solution

    |

  9. A dice is tossed 5 times . Getting an odd number is considered a su...

    Text Solution

    |

  10. Events A, B, C are mutually exclusive events such that P(A) = (3x+1)/3...

    Text Solution

    |

  11. Five horses are in a rae . Mr . A selects two of the horses at random...

    Text Solution

    |

  12. The probabilit that A speaks truth is 4/5 , while the probability fo...

    Text Solution

    |

  13. A random variable X has the probability distribution: For the events ...

    Text Solution

    |

  14. The mean and variance of a binomial distribution are 4 and 2 respect...

    Text Solution

    |

  15. Let A and B two events such that P( bar(A cup B)) = 1/6 , P(A capB) =...

    Text Solution

    |

  16. Three houses are available in a localty . Three persons apply for th...

    Text Solution

    |

  17. Two numbers are chosen from [1,2,3,4,5,6] one after another without r...

    Text Solution

    |

  18. P(B) = 3/4 , P(bar(A) cap B cap bar(C )) = 1/3 . P (A cap B cap bar (C...

    Text Solution

    |

  19. If three distinct numbers are chosen randomly from the first 100 n...

    Text Solution

    |

  20. A fair die is thrown till we get . Then the probability of getting...

    Text Solution

    |