Home
Class 12
MATHS
A box contains 6 nails and 10 nuts. Half...

A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted, if one item is chosen at random, the probability that it is a rusted or is a nail

A

`(3)/(16)`

B

`(5)/(16)`

C

`(11)/(16)`

D

`(14)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise EXAMPLES|57 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

Similar Questions

Explore conceptually related problems

A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, then find the probability that it is rusted or is a nail.

A bag contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If an item is chosen at random, find the probability that it is rusted or that it is a bolt.

A box contains 12 balls, out of which x are black, (i) If one ball is drawn at random, what is the probability that it will be a black ball? (ii) If 6 more black balls are put in the bag, the probability of drawing a black ball will double than that in (i), find x.

BOX A contains 6 white balls and 4 red balls.BOX B contains 5 white balls and 5 red balls.One of the boxes is chosen at random and two balls are drawn from it . Find the probability that both balls are red balls .

A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

There are two identical boxes containing respectively 5 white and 3 red balls, 4 white and 6 red balls. A box is chosen at random and a ball is drawn from it (i) find the probability that the ball is white (ii) if the ball is white, what is the probability that it from the first box?

In a box containing 10 bulbs, 2 are defective. What is the probability that among 5 bulbs chosen at random , none is defective ?

In a box containing 10 bulbs, 2 are defective. What is the probability that among 5 bulbs chosen at random, none is defective?

Two items are chosen a lot containing 10 items of which 3 are defective,then the probability that at least one of them is defective:

NEW JOYTHI PUBLICATION-PROBABILITY-EXERCISE
  1. Hundred cards are numbered from 1 to 100. The probability that a rand...

    Text Solution

    |

  2. Three six faced dice are tossed together, the probability that exactl...

    Text Solution

    |

  3. Inorder to get atleast once a head with probability ge 0.9, the minim...

    Text Solution

    |

  4. Out of 13 applicants for a job, there are 5 women and 8 men. It is de...

    Text Solution

    |

  5. A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Two c...

    Text Solution

    |

  6. A coin is tossed 3 times. The chance that head and tail show alternat...

    Text Solution

    |

  7. There are 4 letter and 4 envelopes. The probability that all the lett...

    Text Solution

    |

  8. A bag contains 5 red and 3 white balls. Two balls are selected at ran...

    Text Solution

    |

  9. Two dice are thrown simultaneously. Then the probability of getting t...

    Text Solution

    |

  10. A letter is selected at random from the word MATHEMATICS. The probabi...

    Text Solution

    |

  11. The probability that a leap year selected at random contains 53 Monda...

    Text Solution

    |

  12. A box contains 6 nails and 10 nuts. Half of the nails and half of the...

    Text Solution

    |

  13. Three vertices of a regular hexagon are chosen at random. The probabi...

    Text Solution

    |

  14. A five digit number is formed by the digits 0, 1, 2, 3, 4 without rep...

    Text Solution

    |

  15. The probability of getting a sum equal to 7 or 11 in the tosses of 2 ...

    Text Solution

    |

  16. Three numbers are selected at random from the set {1, 2, 3, ......, 2...

    Text Solution

    |

  17. Fifteen coupons are numbered 1 to 15 respectively. Seven coupons are ...

    Text Solution

    |

  18. Two cards are drawn from a well shuffled deck of 52 cards. The probab...

    Text Solution

    |

  19. Cards are drawn one by one without replacement from a pack of 52 card...

    Text Solution

    |

  20. The chance of an event happening is the square of the chance of a sec...

    Text Solution

    |