one bag contains `6` white and `5` black balls. Another bag contains `5` white and `3` black balls. One ball at random is transferred from the first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn is white .

A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls. A ball is transferred from the first bag to the second and then a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

A bag A contains 5 white and 6 black balls. Another bag B contains 4 white ad 3 black balls. A ball is transferred from the bag A to the bag B and then a balls is taken out of the second bag. Find the probability of this ball being black.

A bag A contains 6 white and 7 black balls while the other bag B contains 4 white and 5 black balls. A ball is transferred from the bag A to the bag B. Then a ball is drawn from the bag B. Find the probability that the ball drawn is white.

A bag A contains 8 white and 7 black balls while the other bag B contains 5 white and 4 black balls. One ball is randomly picked up from the bag A and mixed up with the balls in the bag B. Then a ball is randomly drawn out from it. Find the probability that the ball drawn is white.

A bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability that both are white.

A bag contains 6 red and 4 black balls, another bag contains 5 red and 3 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

A bag contians 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability that both are black.