Home
Class 12
MATHS
In a bolt factory three machines A, B an...

In a bolt factory three machines A, B and C manufacture respectively 2000, 2500 and 4000 bolts everyday. Of their outputs `3%, 4%` and `2.5%` are defective bolts. One bolts. One bolt is drawn at random from a day's production and is found to be defective. Then the probability that it was produced by machine C is -

A

`(3)/(13)`

B

`(4)/(13)`

C

`(5)/(13)`

D

`(7)/(13)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

In a bolt factory, machines M_(1), M_(2), M_(3) manufacture respectively 25, 35 and 40 percent of the total product. Of their output 5, 4 and 2 percent respectively are defective bolts. One bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine M_(3) ?

In a bulb factory, machines A, B and C manufacture 25%, 35% and 40% bulbs respectively. Out of thse bulbs 5%, 4% and 2% of the bulbs produced respectively by A, B and C are found to be defective. A bulb is picked up at random from the total production and found to be defective. Find the probability that this bulb was produced by the machine B.

A factory has three machines X, Y and Z producing 1000, 2000 and 3000 bolts per day respectively. The machine X produces 1% defective balts, Y produces 1.5% defective bolts and Z produces 2% defective bolts. At the end of the day, a bolt is drawn at random and it is found to be 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% 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?

Three urns A, B and C contain 6 red and 4 white, 2 red and 6 white and 1 red and 5 white balls respectively. An urn is chosen at random and a ball is drawn. If the ball drawn is found to be red, find the probability that the ball was drawn from the urn A.

There are 3 bags which are known to contain 2 white and 3 black, 4 white and 1 black, and 3 white and 7 black ball, respectively. A ball is drawn at random from one of the bags and found to the black ball. Then the probability that it was drawn from the bag containing the most black ball is 7//15 b. 5//19 c. 3//4 d. none of these

There are three urns containing respectively b_i black balls, w_i white balls and g_i green balls for I = 1, 2, 3. One ball is drawn at random from each of the three urns. Find the probability that the balls are of same colour.

Three lots contain respectively 4%, 5% and 10% defective articles. One article is chosen at random from each lot. Find the probability of getting (a) exactly one defective (b) at least one defective article among the three articles drawn.

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 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?

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The probability that A speaks truth is (4)/(5), while this probabili...

    Text Solution

    |

  2. Three distinct numbers are selected from first 100 natural numbers. Th...

    Text Solution

    |

  3. In a bolt factory three machines A, B and C manufacture respectively 2...

    Text Solution

    |

  4. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

    Text Solution

    |

  5. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

    Text Solution

    |

  6. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

    Text Solution

    |

  7. If hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk and hati-6hatj-h...

    Text Solution

    |

  8. In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that...

    Text Solution

    |

  9. If the probability that a randomly selected bulb produced by a factory...

    Text Solution

    |

  10. If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+...

    Text Solution

    |

  11. The direction cosines of the line which is perpendicular to the lines ...

    Text Solution

    |

  12. The cosine of the angle between the lines vecr=3hati+2hatj-4hatk+lam...

    Text Solution

    |

  13. The coordinates of the point of intersection of the lines vecr=(hati+...

    Text Solution

    |

  14. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

    Text Solution

    |

  15. The equation of the plane passing through the point (1, -3, -2) and pe...

    Text Solution

    |

  16. If a, b be two fixed positive integers such that f(a+x)=b+[b^(3)+1-3...

    Text Solution

    |

  17. The derivative of the function (sec x+tan x)/(sec x-tanx) is -

    Text Solution

    |

  18. If y=sin x^(@) and z=log(10)x, then the value of ( dy)/(dz) is -

    Text Solution

    |

  19. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

    Text Solution

    |

  20. If x=sin t and y=cos p t, then which of the following is true ?

    Text Solution

    |