Home
Class 12
MATHS
A factory has two machines A and B. Pa...

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% of 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?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

A factory has two machines A and B. Past records show that the machine A produced 60% of the items of output and machine B produced 40% of the items further 2% of the items produced by machine A were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

In a factory machine A produces 30% of the total output, machine B produces 25% and the machine C produces the remaining output. If defective items produced by machines A, B and C are 1% , 1.2% 2% respectively. Three machines working together produce 10000 items in a day. An item is drawn at random from a day’s output and found to be defective. Find the probability that it was produced by machine B?

An item is manufactured by three machines A, B and C. Out of hte total number of items manufactured during a specified period, 50% are manufacture on machine A, 30% on B and 20% on C. 2% of the items produced on A and 2% of items produced on B are defective and 3% of these produced n C are defective. All the items stored at one godown. One item is drawn at random and is found to be defective. What is the probability that it was manufactured on machine A?

An item is manufactured by three machines A, B and C. Out of the total member of items manufactured during a specified period, 50% are manufactured on A, 30% on B and 20% on C. 2% of the items produced on A and 2% of items produced on B are defective and 3% of these produced on C are defective. All the items are stored at one godown. One item is drawn at random and is found to be defective. What is the probability that it was manufactured on machine A?

A factory has three machines A, B and C, which produce 100, 200 and 300 items of a particular type daily. The machines produce 2%, 3% and 5% defective items respectively. One day when the production was over, an item was picked up randomly and it was found to be defective. Find the probability that it was produced by machine A.

A factory has three machines X, Y, and Z producing 1000, 2000 and 3000 bolts per day respectively. the machine X produces 1% defective bolts, 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 to be defective. What is the probability that this defective bolt has been produced by machine X?

In a factory which manufactures bolts, machines A. B and C manufacture respectively 25%, 35% and 40% 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 it is manufactured by the machine B?

A manufacturer has three machine operators A,B and C. The first operator A produces 1% defective items, whereas the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?

A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the tune, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?

In a bolt factory three machines A ,B and C manufacture 25% , 35% and 40% of the total production respectively. Of their respective outputs, 5% , 4% and 2% are defective. A bolt is drawn at random from the total production and it is found to be defective. Find the probability that it was manufactured by machine C.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

    Text Solution

    |

  2. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  3. A factory has two machines A and B. Past record shows that machine A...

    Text Solution

    |

  4. Find the inverse of the following matrix using elementary operations: ...

    Text Solution

    |

  5. Using properties of determinants, prove the following: |[x,x^2,1+px^3]...

    Text Solution

    |

  6. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

    Text Solution

    |

  7. Solve the following for x : cos^(-1)((x^2 - 1)/(x^2 + 1))+t a n^(-1...

    Text Solution

    |

  8. Using matrices, solve the following system of equations: x\ -\ y+z...

    Text Solution

    |

  9. If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0),...

    Text Solution

    |

  10. A merchant plans to sell two types of personal computers - a deskto...

    Text Solution

    |

  11. Given three identical boxes I, II and III each containing two coins...

    Text Solution

    |

  12. Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2

    Text Solution

    |

  13. Find the shortest distance between the following pairs of line whose ...

    Text Solution

    |

  14. Using vectors, find the area of the triangle with vertices A (1, 1,...

    Text Solution

    |

  15. Using matrices, solve the following system of equations: 4x+3y+2z=60...

    Text Solution

    |

  16. A random variable X has the following probability distribution: ...

    Text Solution

    |

  17. A window has the shape of a rectangle surmounted by an equilateral ...

    Text Solution

    |

  18. Find the distance of the point (-1,\ -5,\ -10) , from the point of int...

    Text Solution

    |

  19. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |

  20. How many times must a man toss a fair coin, so that the probability...

    Text Solution

    |