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|Exercise LINKED COMPREHENSION TYPE|11 Videos
  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos
  • PROBABILITY II

    CENGAGE|Exercise Exercise (Numerical)|20 Videos
  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

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

A bag contains 10 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 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 12 red balls 6 white balls. Six balls are drawn one by one without replacement of which at least 4 balls are white. Find the probability that in the next two drawn exactly one white ball is drawn. (Leave the answer in ""^(n)C_(r ) ).

A box B_(1) contains 1 white ball, 3 red balls, and 2 black balls. An- other box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls, and 5 black balls. If 2 balls are drawn (without replecement) from a randomly selected box and one of the balls is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is

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 numbers of blacks balls. What are the possible values of X? is X is a random variable?

A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

CENGAGE-PROBABILITY II-JEE Main Previous Year
  1. Consider 5 independent Bernoulli.s trials each with probability of ...

    Text Solution

    |

  2. If C and D are two events such that C sub D and P(D) ≠ 0, then the cor...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Twelve balls are distribute among three boxes. The probability that th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. One ticket is selected at random from 50 tickets numbered 00, 01, 0...

    Text Solution

    |

  11. In a binomial distribution B(b,p=1//4), if the probability of at least...

    Text Solution

    |

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

    Text Solution

    |

  13. If C and D are two events such that C sub D and P(D) ≠ 0, then the cor...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If 12 identical balls are to be placed in 3 identical boxes, then t...

    Text Solution

    |

  18. Let two fair six-faced dice A and B be thrown simultaneously. If E1 is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |