Home
Class 12
MATHS
Three screws are drawn at random from a ...

Three screws are drawn at random from a lot of 50 screws, 5 of which are defective.
Find the probability of the event that all 3 screws are non-defective assuming that the drawing is a) with replacement b) without replacement.

Text Solution

Verified by Experts

The correct Answer is:
`P(A)=((9)/(10))^(3)`
`thereforeP(A)=(1419)/(1960).`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE-9(b)|24 Videos

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TAXTUAL EXERCISES|73 Videos

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES|68 Videos

Similar Questions

Explore conceptually related problems

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Three cards are drawn from pack of 52 cards one after another without replacement. Find the probability of getting king in 1^(st) draw, queen in 2^(nd) draw and ace in 3^(rd) draw.

I: A box contains 20 screws , 5 of which are defective. 2 screws are drawn at random. The probability of event that neither of the two screws is defective is 21//38 . II: A box contains 5 black, 4 white and 6 red balls. 2 balls are drawn without replacement. The probability that the first will be first will be white and the second will be black is 4//21 .

A box contains 19 screws, 3 of which are defective, Two screws are drawn at random with replacement. Find the probability that neither of the two screws is defective.

Three cards are drawn from pack successively without replacement, probability of getting one king, one queen and one Ace is

Three cards are drawn from pack successively without replacement, the probability of getting first king, second queen and third Ace is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROBABILITY-Exercise -9 ( c)
  1. Three screws are drawn at random from a lot of 50 screws, 5 of which a...

    Text Solution

    |

  2. If A,B,C are three independent events of an experiment. Such that P(Ac...

    Text Solution

    |

  3. There are 3 black and 4 white balls in one bag. 4 black and 3 white ba...

    Text Solution

    |

  4. A,B,C are aiming to shoot a balloon. A will succeed 4 times out of 5 a...

    Text Solution

    |

  5. If A,B are two events, then show that P((A)/(B))P(B)+P((A)/(B^(C)))P...

    Text Solution

    |

  6. A pair of dice are rolled.What is the probability that they sum of 7, ...

    Text Solution

    |

  7. A pair of dice are rolled. What is the probability that neither die sh...

    Text Solution

    |

  8. An urn contains 12 red balls and 12 green balls. Suppose two balls are...

    Text Solution

    |

  9. A single die is rolled twice in succession. What is the probability th...

    Text Solution

    |

  10. If one card is drawn at random from a pack of cards then show that eve...

    Text Solution

    |

  11. The probability that a boy A will get a scholarship is 0.9 and that an...

    Text Solution

    |

  12. If A,B, are two events with P(AcupB)=0.65, and P(AcapB)=0.15, then fi...

    Text Solution

    |

  13. If A,B,C are independent events, shows that AcupBandC are also a indep...

    Text Solution

    |

  14. A and B are two independent events such that the probability of the bo...

    Text Solution

    |

  15. A fair die is rolled. Consider the events. A={1,3,5},B={2,3} and C =...

    Text Solution

    |

  16. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  17. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  18. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  19. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  20. If A,B are mutually exclusive and P(B)gt0 " then "P((A)/(B))=0.

    Text Solution

    |