Home
Class 12
MATHS
In a factory which manufactures bolts, m...

In a factory which manufactures bolts, machine A, B and C manufacture respectively 25%, 35% and 45% of the bolts. Of their outputs 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that if is manufactured by machine B?

Text Solution

Verified by Experts

The correct Answer is:
`(28)/(69)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT TAMIL|Exercise EXERCISE 3.1|17 Videos
  • PROBABILITY

    NCERT TAMIL|Exercise EXERCISE 3.2|18 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 10.9|25 Videos
  • PROBABILITY DISTRIBUTIONS

    NCERT TAMIL|Exercise EXERCISE 11.6 (Choose the Correct )|19 Videos

Similar Questions

Explore conceptually related problems

In a factory which manufactures bulbs, machines X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of their outputs 1, 2 and 3 percent re respectively defective bulbs. A bulb is drawn at random and is found to be defective. What is the probability that it is manufactured by the machine Y?

A factory has two machines X and Y .X produces 70% and Y produces 30% of the items of which items produced by X have 5% defective items and items produced by Y have 8% defective. An item is drawn at random for the product and is found to be defective. Find the probability that it was produced by Machine Y.

A factory has 3 machines X, Y and Z producing 1000, 2000 and 3000 bolts per day respectively. The machine X produces 1% defective bolt, Y produces 1.5% and Z produces 2% defective bolts. At the end of a day, a bolt is drawn at random and is found defective. What is the probability that this defective bolt has been produced by the machine X?

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% ol the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B:

The chance of defective screws in three boxes A ,B ,Ca r e1//5,1//6,1//7, respectively. A box is selected at random and a screw draw in from it at random is found to be defective. Then find the probability that it came from box Adot

A factory has two machines A and B. Machine A produces 40% of items of the output and Machine B produces 60% of the items. Further 4% of items produced by Machine A are defective and 5% produced by Machine B are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine B.

In a factory Machine-I produces 45% of the output and Machine -II 55% of the outuput. On the average 10% items produced by I and 5% of the items produced by II are deffective. An item is drawn at random from a day's output. (i) find the probability that it is a defective item (ii) if it id defective, what is the probability that it was produced by Machine-II ?

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?

A factory has two machines and Il Machine produces 40% of items of the output and Machine Il produces 60% of the items. Further 4% of items produced by Machine are defective and 5% produced by Machine Il are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II. (See the previous example, compare the questions)

NCERT TAMIL-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. In a factory which manufactures bolts, machine A, B and C manufacture ...

    Text Solution

    |

  2. A and B are two events such that P(A) ne 0. Find P(B/A) if (i) A is a ...

    Text Solution

    |

  3. A couple has two children. Find the probability that both children are...

    Text Solution

    |

  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  5. Suppose that 90% of people are right- handed. What is the probability ...

    Text Solution

    |

  6. An urn contains 25 balls of which I0 balls bear a mark 'X' and remaini...

    Text Solution

    |

  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

    Text Solution

    |

  8. A die is thrown again and again until three sixes are obtained. Find t...

    Text Solution

    |

  9. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabilit...

    Text Solution

    |

  11. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

    Text Solution

    |

  13. Suppose we have four boxes A, B, C and D containing coloured marbles a...

    Text Solution

    |

  14. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  15. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  16. An electronic assembly consists of two sub-systems, say, A and B. From...

    Text Solution

    |

  17. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  18. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  19. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

  20. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |