Home
Class 11
MATHS
There are two identical boxes containing...

There are two identical boxes containing respectively. 6 black and 4 red balls, 2 black and 2 red balls. An urns is chosen at random and a ball is drawn from it (i)find the probability that the ball is black,(ii)if the ball is black,what is the probability that it is from the first urn?

Text Solution

Verified by Experts

The correct Answer is:
(i)`(11)/(20)`
(ii)`(6)/(11)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.5|25 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|20 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.3|12 Videos

  • INTEGRAL CALCULUS

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (MCQ)|42 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

Similar Questions

Explore conceptually related problems

There are two identical urns containing respectively 6 black and 4 red balls, 2 black and 2 red balls. An urn is chosen at random and a ball is drawn from it. (i) find the probability that the ball is black (ii) if the ball is black, what is the probability that it is from the first urn ?

There are two identical boxes containing respectively 5 white and 3 red balls, 4 white and 6 red balls. A box is chosen at random and a ball is drawn from it (i) find the probability that the ball is white (ii) if the ball is white, what is the probability that it from the first box?

There are two identical boxes. Box I contains 5 red and 4 black balls, while Box II contains 3 red and 3 black balls. A person chosen a box at random and takes out a ball a. Find the probability that the ball drawn is red. b. If the ball drawn is black, what is the probability that it is drawn from Box II.

BOX A contains 6 white balls and 4 red balls.BOX B contains 5 white balls and 5 red balls.One of the boxes is chosen at random and two balls are drawn from it . Find the probability that both balls are red balls .

There are two identical boxes. Box I contains 2 red and 3 white balls, while box II contains1 red and 4 white balls. A person chooses a box at random and takes out a ball. i Find the probability that the ball drawn is red. ii. If the ball drawn is white, what is the probability that it is drawn from box II?

A bag contains 2 red balls and 6 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?