Home
Class 12
MATHS
A machine has fourteen identical compone...

A machine has fourteen identical components that function independently. It will stop workinng if three or more components fail. If the probability that a component fails is equal to 0.1, then the probability that the machine will be working is

A

`((298)(9)^12)/((10)^14)`

B

`((149)(9)^12)/((10)^14)`

C

`(298)((9)/10)^12`

D

`(298)((9)/10)^14`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|282 Videos

  • CONTINUITY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|374 Videos

Similar Questions

Explore conceptually related problems

The operates if all of its three components function.The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. What is the probability that the machine will fail during the year?

A machine operates only when all of its three components function The probabilities of the failures of the first , second and third component are 0.2, 0,3 and 0.5 respectively . What is the probability that the machine will fail ?

A machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?

The probability that a machine will accept a particular Rs 1 coin is 0.9. The probability that the machine will not accept a particular Rs 1 coin, is

Three persons work independently on a problem.If the respective probabilities that they will solve it are 1/3,1/4 and 1/5, then find the probability that none can solve it.

The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

The probability that the machine will accept a particular Rs 1 coin is 0.9. Jayant has three Rs 1 coins. The probability that the machine accept all these coins, is

In constructing a problem on vectors,the three components of a vector are randomly chosen from the digits 0 to 5 with replacement.The probability that the magnitude of the vector is 5 is

A piece of equipment will function when all the three components A,B,C are working.The probability of A failing during one year is 0.15 that of B is 0.05 and that of C is 0.10. The probability that the equipment will fail before the end of the year is

NIKITA PUBLICATION-BINOMIAL DISTRIBUTION-MCQS
  1. 80% of all families own a television set. If 10 families are interview...

    Text Solution

    |

  2. A fair coin is tossed n times. if the probability that head occurs 6 t...

    Text Solution

    |

  3. A machine has fourteen identical components that function independentl...

    Text Solution

    |

  4. A radar complex consists of eight units that operate independently. Th...

    Text Solution

    |

  5. A radar complex consists of eight units that operate independently. Th...

    Text Solution

    |

  6. The probability that a person picked at random will support a constitu...

    Text Solution

    |

  7. Probability of guessing correctly atleast 7 out of 10 answers in a 'T...

    Text Solution

    |

  8. A student is given a quiz with 10 true or false question, and he answe...

    Text Solution

    |

  9. A student has appeared for an examination. There are 20 question in th...

    Text Solution

    |

  10. A die is tossed 5 times. Getting and odd number is cosidered a success...

    Text Solution

    |

  11. A rat maze consists of a striaght corridor, at the end fo which the ra...

    Text Solution

    |

  12. The probalility that a lamp in a class room will be burn out is 0.3. S...

    Text Solution

    |

  13. Let A be the event that a family has children of both sexes. If each f...

    Text Solution

    |

  14. A large chain retailer purchase certain Kind of electronic device from...

    Text Solution

    |

  15. A lot of 100 items contains 10 defective items. Five items selected at...

    Text Solution

    |

  16. From a box containing 20 tickets marked with numbers 1 to 20, four tic...

    Text Solution

    |

  17. The probability that a certain kind of component will survive a check ...

    Text Solution

    |

  18. Suppose that airplane engines oprate independently and fail with proba...

    Text Solution

    |

  19. Suppose that airplane engines oprate independently and fail with proba...

    Text Solution

    |

  20. Suppose that airplane operate indenpendently and fail with probabitil...

    Text Solution

    |