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, then find the probability that it is rusted or is a nail.

A

`3/16`

B

`5/16`

C

`11/16`

D

`4/16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))|64 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))|21 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 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, the probability that it is rusted or is a nail is

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) 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 ?

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 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 ?

An urn contains 60 blue pens and 40 red pens. Half of the each one is defective . If one pen is chosen at random , what is the probaility that it is a defective or a red pen ?

3 mangoes and 3 apples are in a box. If 2 fruits are chosen at random, the probability that one is a mango and the other is an apple, is

One number is chosen from numbers 1 to 200. Find the probability that it is divisible by 4 or 6?

One number is chosen from numbers 1 to 100. Find the probability that it is divisible by 4 or 6?

A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that one is red, one is white and one is blue.

AAKASH INSTITUTE ENGLISH-PROBABILITY-ASSIGNMENT (SECTION - A Competition Level Questions)
  1. Six '+' signs and five '-' signs are to be arranged in a row. If the a...

    Text Solution

    |

  2. If four whole numbers taken at random are multiplied together, then fi...

    Text Solution

    |

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

    Text Solution

    |

  4. A locker can be opened by dialing a fixed three digit code from 000 to...

    Text Solution

    |

  5. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  6. If A and B are two events such that P(A) = 1/3, P(B) = 1/4 and P(AcapB...

    Text Solution

    |

  7. If E and F are independent events such that 0 lt P(E) lt 1 and 0 lt P(...

    Text Solution

    |

  8. If A and B are two independent events such that P (A) =1//2, P(B)=1//5...

    Text Solution

    |

  9. Let 0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=P(A)+P(B)-P(A)P(B), then,

    Text Solution

    |

  10. A coin is tossed three times in succession. If E is the event that the...

    Text Solution

    |

  11. A dice is thrown three times and the sum of the thrown numbers in 15. ...

    Text Solution

    |

  12. The dice are thrown. What is the probability that the sum of the numbe...

    Text Solution

    |

  13. If A and B are two events such that P(A) = 3/8 , P(B) = 5/8 and P(A cu...

    Text Solution

    |

  14. If 4P(A) = 6P(B) = 10P(AcapB)=1, then P(B/A)

    Text Solution

    |

  15. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  16. For a biased die the probabilities for different faces to turn up are ...

    Text Solution

    |

  17. A and B are two events such that P(A)= 0.8, P(B) = 0.6 and P (Ann B) =...

    Text Solution

    |

  18. One ticket is selected at ransom form 50 tickets numbered 00,01,02,…,4...

    Text Solution

    |

  19. It is given that the events A and B are such that P(B) = 1/4, P(B|A) =...

    Text Solution

    |

  20. If the events A and B are mutually exclusive, then P( A/B) =

    Text Solution

    |