Home
Class 11
MATHS
One urn contains two black balls (labell...

One urn contains two black balls (labelled `B_(1)` and `B_(2)` ) and one white ball. A second urn contains one black ball and two white balls (labelled `W_(1)`, and `W_(2)` ). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball.
(i) Write the sample space showing all possible outcomes
(ii) What is the probability that two black balls are chosen ?
(iii) What is the probability that two balls of opposite colour are chosen ?

Text Solution

Verified by Experts

The correct Answer is:
(i) 12 (ii) `(1)/(6)` (iii) `(2)/(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|12 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|7 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|12 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos

Similar Questions

Explore conceptually related problems

Seven white and 3 black balls are placed in a row. What is the probability if two black balls do not occur together ?

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

Knowledge Check

  • In bag X there are 2 white and 3 black balls and in bag Y there are 4 white and 2 black balls. One bag is selected at random and one ball is drawn from it. Then what is the probability that selected ball is white ?

    A
    `(8)/(15)`
    B
    `(2)/(15)`
    C
    `(7)/(15)`
    D
    `(14)/(15)`

  • 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 .....

    A
    `(4)/(9)`
    B
    `(5)/(18)`
    C
    `(5)/(108)`
    D
    `(1)/(6)`

    • Similar Questions

    Explore conceptually related problems

    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 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 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?

    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?

    Three bags contain a number of red and white balls as follows: The probability that bag i will be chosen and a ball is selected from it is (i)/(6) , i = 1, 2, 3. What is the probability that, (i) a red ball will be selected ? (ii) a white ball is selected ?

    A bag contains 3 red balls and 5 black balls. A ball is selected at random from the bag. What is the probability that the ball selected is (i) red ? (ii) not red?

    Home
    Profile