Home
Class 12
MATHS
A box contains 15 green and 10 yellow ba...

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one -by - one with replacement, then the variance of the number of green balls drawn, is

A

`6/25`

B

`12/5`

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
B

`P=15/25,q=10/25,n=10`
`sigma^(2)=npq=10.""3/5.2/5=12/5`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos
  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise NUMARICAL VALUE TYPE|24 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos
  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find the probability that none is red.

A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find the probability that none is red.

A box contains 5 black and 5 red balls. The balls are randomly picked one after another from the box, with out replacement . The probability of both balls being rad is?

A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

A bag contains W white and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. Then find the probability that this procedure for drawing the balls will come to an end at the rth draw.

A box contains 12 red and 6 white balls. Balls are drawn from the bag one at a time without replacement. If in 6 draws, there are at least 4 white balls, find the probability the exactly one white ball is drawn in the next two draws. (Binomial coefficients can be left as such.)

A box contains 7 white and 5 black balls. If 3 balls are drawn simultaneously at random with out replacement, what is the probability that they are not all of the same colour ?

An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X?

A box contains 4 white and 6 red balls if 2 balls are drawn at random find the expectation of the number of red balls

CENGAGE PUBLICATION-PROBABILITY II-SINGLE CORRECT ANSWER TYPE
  1. Twelve balls are distributed among three boxes, find the probability ...

    Text Solution

    |

  2. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  3. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  4. A bag contains 4 red and 6 black balls. A ball is drawn at random from...

    Text Solution

    |

  5. A signal which can can be green or red with probability 4/5 and 1/5 re...

    Text Solution

    |

  6. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  7. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  8. One ticket is selected at ransom form 50 tickets numbered 00,01,02,…,4...

    Text Solution

    |

  9. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  10. Consider 5 independent Bernoulli's trials each with probability of at ...

    Text Solution

    |

  11. If C and D are two events such that C subDand P(D) ne0, then the corre...

    Text Solution

    |

  12. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  13. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  14. Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...

    Text Solution

    |

  15. If 12 identical balls are to be placed in 3 identical boxes, then th...

    Text Solution

    |

  16. Let two fair six-faced dice A and B be thrown simultaneously. If E(1) ...

    Text Solution

    |

  17. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  18. A bag contains 4 red and 6 black balls. A ball is drawn at random from...

    Text Solution

    |

  19. A signal which can can be green or red with probability 4/5 and 1/5 re...

    Text Solution

    |

  20. Four persons independently solve a certain problem correctly with proa...

    Text Solution

    |