The first of two urns contains 3 white and 2 black balls and 2 red balls. One ball is taken at random from the first urn and is placed in the second urn. Then if one ball is taken at random from the second urn, find the probabilities that it is black.

The first of two urns contains 3 white and 2 black balls and 2 red balls. One ball is taken at random from the first urn and is placed in the second urn. Then if one ball is taken at random from the second urn, find the probabilities that it is either red or white.

A bag contains 8 white and 7 black balls and another bag contains 5 white and 4 black balls. A ball is drawn at random from the first bag and put it into second bag. Now if a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

Two urns contain respectively 2 red , 3 white and 3 red 5 while balls . One ball is drawn at random from the first urn and transferred into the second .A ball is now drawn from the second second urn and it turns out to be red . find the probability that the transferred ball from first urn was white .

A bag contains 8 white and 7 black balls. A ball is drawn at random from the bag and put into another bag which contains 5 white and 4 black balls. A ball is drawn randomly from the second bag. What is the probability that it is white ?

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then, one ball is drawn at random from urn B and placed in urn A. If one ball is drawn at random from urn A, then find probability that it is found to be red.

Each of the two identical bags contain 5 white and 5 red balls. One ball is transferred at random without notice from the second bag to the first bag. Then one ball is drawn from the first bag. Find the probability that the ball drawn is a red ball.

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is white?

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

Two boxes contain balls as under: Box 1: 3 White and 2 Red balls Box 2: 2 White and 4 Red balls One ball is drawn at random from Box 2 and is put into Box 1. Then a ball is drawn from Box 1 at random. What is the probability that the ball drawn from Box 1 is white?

An urn contains 2 white and 2 black balls. A ball is drawn at random. If it is white, it is not replace into urn, otherwise it is replaced along with another ball of the same colour. The proccess is repeated, find the probability that the third ball drawn is black.