Home
Class 12
MATHS
A bag contain n ball out of which some b...

A bag contain `n` ball out of which some balls are white. If probability that a bag contains exactly `i` white ball is pro0portional to `i^3dot` A ball is drawn at random from the bag and found to be white, then find the probability that bag contains exactly 2 white balls.

Text Solution

Verified by Experts

The correct Answer is:
`P (A_(2)//B) = (((6)/(n (n + 1))) ((2^(3))/(n)))/((2)/(3 (n + 1)))`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|37 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise LEVEL - 1|95 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

A bag contain n ball out of which some balls are white. If probability that a bag contains exactly i white ball is proportional to i^2 . A ball is drawn at random from the bag and found to be white, then find the probability that bag contains exactly 2 white balls.

A bag contains 4 balls. Two balls are drawn at random, and are found to be white. What is the probability that all balls are white?

A bag contains 4 balls. Two balls are drawn at random, and are found to be white. What is the probability that all balls are white?

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red and balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

A bag contains 5 balls. Two balls are drawn and are found to be white. What is the probability that all the balls are white?

A bag contains 7 white, 5 black and 4 red balls, find the probability that the balls is white.

A bag contains 4 red, 6 black and 5 white balls, A ball is drawn at random from the bag. Find the probability that the ball drawn is: white

A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be white

A bag contains 9 red and 12 white balls one ball is drawn at random. Find the probability that the ball drawn is red.

A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be green

VMC MODULES ENGLISH-PROBABILITY-LEVEL - 2
  1. For the three events A ,B ,a n d \ C ,P (exactly one of the events Aor...

    Text Solution

    |

  2. Find the probability that the birth days of six different persons will...

    Text Solution

    |

  3. A bag contain n ball out of which some balls are white. If probability...

    Text Solution

    |

  4. In an entrance test, there are multiple choice questions. There are...

    Text Solution

    |

  5. Of three independent events, the chance that only the first occurs is ...

    Text Solution

    |

  6. For n independent events Ai's, p(Ai)=1/(1+i),i=1,2,...n. The probabili...

    Text Solution

    |

  7. A box contains 15 transistors, 5 of which are defective. An inspector ...

    Text Solution

    |

  8. One mapping is selected at random from all the mappings of the set ...

    Text Solution

    |

  9. One mapping is selected at random from all mappings of the set S={1,2,...

    Text Solution

    |

  10. Two persons each makes a single throw with a pair of dice. Find the pr...

    Text Solution

    |

  11. Two natural numbers x and y are chosen at random from the set {1,2,3,4...

    Text Solution

    |

  12. A wire of length l is cut into three pieces. Find the probability that...

    Text Solution

    |

  13. Two distinct integers x and y are chosen, without replacement, at rand...

    Text Solution

    |

  14. If ain[-20, 0], find the probability that the graph of the function y=...

    Text Solution

    |

  15. Two distinct numbers are selected at random from the first twelve natu...

    Text Solution

    |

  16. Given that x in [0,1] and y in [0,1]. Let A be the event of selecting ...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. A 2 xx 2 square matrix is written down at random using the number 1, -...

    Text Solution

    |

  19. A dice is thrown (2n+1) times. The probability that faces with even nu...

    Text Solution

    |

  20. Three six faced fair dice are thrown together.The probability that the...

    Text Solution

    |