Home
Class 11
MATHS
There are 100 bolts and 50 nuts in a box...

There are 100 bolts and 50 nuts in a box, out of which 50% bolts and 50% nuts are defective. Two items are drawn at random from the box, find the probability that both are either bolts or defective.

Text Solution

Verified by Experts

The correct Answer is:
`260/447`
N/a
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MCQ_TYPE|20 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise NCERT QUESTIONS|43 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

A box contains 30 bolts and 40 nuts. Half of the bolts and half of the nuts are rusted. If two items are drawn at random from the box, what is the probability that either both are rusted or both are bolts ?

Ared box contains eight itmes, of which three are defective, and a blue box contains five itmes, of which two are defective. An item is drawn at random from each box. What is the probability that both items will be nondefective?

A drawer contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one item is chosen at random, what is the probability that it is rusted or a bolt?

A bag contains 150 nuts and 50 bolts. Half of the bolts and half of the nuts are rusted. One item is drawn at random from the bag. The probability that it is either rusted or a bolt is Option1 3/8 Option2 5/8 Option3 1/4 Option4 1/2

A red box contains eight items , of which three are defective, and a blue box contains five items, of which two are defective . An item is drawn at random from each box. What is the probability that one item is defective and one is not ?

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box,find the probability that it bears a prime number < 23.

A box contains 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is white.

(a) A drawer contains 50 bolts and 150 unts . Half of the bolts and half of the nuts are rusted . If one item is chosen at random , what is the probability that it is rusted or a bolt ?

In a bolt factory, machines A, B and C manufacture respectively 25%, 35% and 40% of the total bolts. Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. What is the probability that the bolt drawn is defective?

A box contains 13 bulbs out of which 5 are defective. 3 bulbs are randomly drawn, one by one without replacement, from the box. Find the probability distribution of the number of defective bulbs.

NAGEEN PRAKASHAN ENGLISH-PROBABILITY-EXERCISE
  1. There are 15 prizes and 25 blaks in a lottery. Find the probability of...

    Text Solution

    |

  2. Two dice are thrown. Find the odds in favour of getting the sum 4.

    Text Solution

    |

  3. Two letters are drawn from the english alphabets. Find the probabil...

    Text Solution

    |

  4. A and B are two events such that P(A)=0.5, P(B)=0.4 and (A "or"B)=0.6,...

    Text Solution

    |

  5. A and B are two events such that P(A)=0.60, P(A"or"B)=0.85 and P (A an...

    Text Solution

    |

  6. (i) A and B are two events in a random experiment such that P(AuuB)=0....

    Text Solution

    |

  7. For two mutually exclusive events A and B , P(A)=1/3 and P(B)=1/4, fi...

    Text Solution

    |

  8. A, B, C are three mutually exclusive and exhaustive events associated ...

    Text Solution

    |

  9. A number is selected at random from first 200 natural numbers. Find th...

    Text Solution

    |

  10. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  11. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  12. Two cards are drawn at random from a well shuffled pack of 52 cards. F...

    Text Solution

    |

  13. A pair of dice is thrown once. Find the probability of getting an even...

    Text Solution

    |

  14. A dice is thrown twice. Find the probability of getting 3 at least one...

    Text Solution

    |

  15. A card is drawn from a well shuffled pack of 52 cards. What is the pro...

    Text Solution

    |

  16. The probability of the occurrence of event A is 1/3 and the probabilit...

    Text Solution

    |

  17. There are 60% students in Maths and 30% in Biology. If 10% students ar...

    Text Solution

    |

  18. There are 100 bolts and 50 nuts in a box, out of which 50% bolts and 5...

    Text Solution

    |

  19. Two dice are thrown together. What is the probability that the sum ...

    Text Solution

    |

  20. If A,B and C are three events, such that P(A)=0.3, P(B)=0.4, P(C)=0.8,...

    Text Solution

    |