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 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.

Bag I contains 4 white and 3 black balls while another bag II contains 6 white and 5 black balls. One ball is drawn at random from one of the bags and found to be black. Find the probability that it was drawn from bag II .

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.