Home
Class 11
MATHS
A box contains 10 red marbles, 20 blue m...

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that
(i) all will be blue ?
(ii) at least one will be green ?

Text Solution

Verified by Experts

The correct Answer is:
(i) `=(""^(20)C_(5))/(""^(60)C_(5))`
(ii) `=1-(""^(30)C_(5))/(""^(60)C_(5))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|19 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE : 16.3|28 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

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white ? (ii) not green?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be ( 1 ) red ? ( 2 ) white ? ( 3 ) not green?

Knowledge Check

  • A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is ..........

    A
    `(3)/(28)`
    B
    `(2)/(21)`
    C
    `(1)/(28)`
    D
    `(167)/(168)`

  • A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is ……..

    A
    `(45)/(196)`
    B
    `(135)/(392)`
    C
    `(15)/(56)`
    D
    `(15)/(29)`

    • Similar Questions

    Explore conceptually related problems

    A box contains 3 blue, 2 white, and 4 red marbles. If a marble is selected at random from the box, what is the probability that it will be (i) white? (ii) blue? (iii) red?

    A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that atleast one of the three marbles drawn be black, if the first marble is red ?

    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?

    A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

    A box contains 4 red and 7 blue balls. Two balls are drawn at randon with replacement. Find the probability of getting (i) 2 red balls (ii) 2 balls are of blue colour (iii) one red and one blue ball is selected.

    A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways three balls be drawn from the box, if atleast one black ball is to be included in the draw is ……

    Home
    Profile