Home
Class 12
MATHS
There are two bags, one of which contain...

There are two bags, one of which contains 3 black and 4 white balls while the other contains 4 black and 3 white balls. A die is thrown. If it shows up 1 or 3, a ball is taken from the `1^(st)` bag, but it shows up any other number, a ball is chosen from the `2^(nd)` bag. Find the probability of choosing a black ball.

Text Solution

Verified by Experts

The correct Answer is:
`(11)/(21)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions) |38 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False) |10 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions) |40 Videos
  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

Bag-I contains 3 black and 2 white balls, Bag-II contains 2 black and 4 white balls. A bag and a ball is selected at random. Determine the probability of selecting a black ball.

A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls. A ball is transferred from the first bag to the second and then a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

A box contains 5 blue and 4 white balls. A person select two balls randomly from it. The probability that both the balls are of same colour is .....

There are 3 bags each containing 5 white and 3 black balls. Also there are two bags each contains 2 white and 4 black balls. A white ball is drawn at random. Find the probability at the event that white ball is from a bag of the first group.

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II.

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 ?

A box contains 3 green and 5 white balls. Three balls are drawn from it one after the other with replacement. Find probability distribution of the number of green balls.

A bag X contains 3 white and 2 black balls; another bag Y contains 2 white and 4 black balls. A bag and a ball out of it is picked at random. What is the probability that the ball is white?

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Long Answer Type Questions)
  1. An urn contains m white and n black balls. A ball is drawn at random a...

    Text Solution

    |

  2. Three bags contain a number of red and white balls as follows: Th...

    Text Solution

    |

  3. Three bags contain a number of red and white balls as follows: If...

    Text Solution

    |

  4. A shopkeeper sells three types of flower seeds A(1), A(2), and A(3). T...

    Text Solution

    |

  5. A letter is known to have come either from word TATA NAGAR or from CAL...

    Text Solution

    |

  6. There are two bags, one of which contains 3 black and 4 white balls wh...

    Text Solution

    |

  7. The three urns having the numbers of white and black balls are given b...

    Text Solution

    |

  8. By examining the chest X-ray probability that T.B. is detected when pe...

    Text Solution

    |

  9. An item is manufactured by three machines A, B and C. Out of the total...

    Text Solution

    |

  10. Let X be a discrete random variable whose probability distribution is ...

    Text Solution

    |

  11. The probability distribution of a discrete random variable X is given ...

    Text Solution

    |

  12. The probability distribution of a random variable X is given as under ...

    Text Solution

    |

  13. A bag contains (2n + 1) coins. It is known that n of these coins have ...

    Text Solution

    |

  14. Two cards are drawn successively without replacement from a well shuff...

    Text Solution

    |

  15. A dice is tossed twice. A 'success' is getting an even number on a tos...

    Text Solution

    |

  16. There are 5 cards numbered 1 to 5, one number on one card. Two cards a...

    Text Solution

    |