Home
Class 12
MATHS
Urn A contains 1 white, 2 black and 3 r...

Urn A contains 1 white, 2 black and 3 red balls, urn B contains 2 white, 1 black and 1 red balls, and urn C contains 4 white , 5 black and 3 red balls.
One urn is chosen at random and two balls are drawn. These happen to be one white and one red. What is the probability that they come from urn A?

Text Solution

AI Generated Solution

To solve the problem, we will use Bayes' Theorem. We need to find the probability that the balls drawn (one white and one red) came from urn A, given that we have drawn one white and one red ball. ### Step 1: Define the events Let: - \( E_1 \): The event that the balls are drawn from urn A. - \( E_2 \): The event that the balls are drawn from urn B. - \( E_3 \): The event that the balls are drawn from urn C. - \( E \): The event that one white and one red ball are drawn. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Bag I contains 2 white, 1 black and 3 red balls, Bag II contains 3 white, 2 black and 4 red balls, Bag III contains 4 white, 3 black and 2 red balls. A bag is chosen at random and two balls are drawn from it. They happen to be one black and one red. What is the probability that they come from bag II ?

Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 white, 2 black and 4 red balls and urn C contains 4 white, 3 black and 2 red balls. One urn is chosen at random and 2 balls are drawn at random from the urn. If the chosen balls happen to be red and black, what is the probability that both balls come from urn B?

Three identical urns contain red and black balls The fist urn contains 2 white and 3 black balls,the second urn 3 white and 2 black balls and the third urn 1black and 4 white balls.An urn is chosen at random and a ball is drawn from it.If the all drawn is white,what is the probability that the first um is chosen?

An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn. What is the probability that both balls are of same colour?

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 A contains 2 white and 3 red balls and a bag B contains 4 white and 5red 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.

Three identical Urns I,ll and III contain 4 white and 3 red balls,3 white and 7 red balls and 2 white and 3 red balls respectively.An Urn is chosen at random and a ball is drawn out of it at random.If the ball is found to be white,what is the probability that Urn ll was selected?