Home
Class 12
MATHS
A company has two plant to manufacture b...

A company has two plant to manufacture bicycles. The first plant manufactures 60% of the bicycles and the second plant 40%. Out of that 80% of the bicycles are rated of standard quality at the first plant and 90% of standard quality at the second plant. A bicycle is picked up at random and found to be standard quality. Find the probability that it comes from the second plant.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

A company has two plants to manufacture bicycles. The first plant manufactures 60% of bicycles and the second 40%. Also 80% of the bicycles are rated of standard qaulity at the first plant and 90% of the standard qaulity at the second plant. A bicycle is picked up at random and found to be of standard quality. Find the probability that it is produced from first plant.

A company has two plants to manufacture scooters. Plant I manufactures 70% of the scooters and Plant II manufactures 30%. At Plant I, 80% of the scooters are rated as of standard quality and at Plant II, 90% of the scooters are rated as of standard quality. A scooter is chosen at random and is found to be of standard quality. What is the probability that it has come from Plant II?

A plant which manufactures its own food is

A company has two plants which manufactures scooters. Plant I manufactures 80% of the scooters while plant II manufactures 20% of the scooters. At plant 1, 85 out of 100 scooters are rated as being of standard quality, while at plant II only 65 out of 100 scooters are rated as being of standard quality. If a scooter is of standard quality, what is the probability that it came from plant I?

Plants use nitrogen to manufacture food.

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?

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?

Percentage of water leaf in the soil when plant wilts is known as

In plant cells the vacuoles can occupy upto 90% of the volume of the cell

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.

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Two integers are selected at random from integers 1 through 11. If the...

    Text Solution

    |

  2. A factory has three machines A, B and C, which produce 100, 200 and 30...

    Text Solution

    |

  3. A company has two plant to manufacture bicycles. The first plant man...

    Text Solution

    |

  4. For A, B and C the chances of being selected as the manager of a firm ...

    Text Solution

    |

  5. A bag contains 1 white and 6 red balls, and a second bag contains 4...

    Text Solution

    |

  6. A man is known to speak truth 3 out of 4 times. He throws a die and...

    Text Solution

    |

  7. By examining the chest X-ray, probability that T.B is detected when a ...

    Text Solution

    |

  8. In answering a question on a multiple choice test, a student either...

    Text Solution

    |

  9. An instructor has a test bank consisting of 300 easy True/False que...

    Text Solution

    |

  10. A committee of 4 students is selected at random from a grourp consisti...

    Text Solution

    |

  11. A bag contains 3 red and 4 black balls and another bag has 4 red and 2...

    Text Solution

    |

  12. 10% of the bulbs produced in a factory are of red colour and 2% are re...

    Text Solution

    |

  13. Three distinguishable balls are distributed in 3 cells. The probabilit...

    Text Solution

    |

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

    Text Solution

    |

  15. Three dice are thrown at the same time. Find the probability of gettin...

    Text Solution

    |

  16. A die is thrown three times. Events A and B are defined as follows: A...

    Text Solution

    |

  17. An urn contains four tickets with numbers 112, 121, 211, 222 and one ...

    Text Solution

    |

  18. Consider the experiment of throwing a die, if a multiple of 3 comes up...

    Text Solution

    |

  19. A letter is known to have come either from LONDON or CLIFTON. On the ...

    Text Solution

    |

  20. An item is manufactured by three machines A, B and C. Out of hte total...

    Text Solution

    |