# 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 first bag to the second bag. and then a ball is selected from second bag then find the probability that the ball drawn is white

explanation:

suppose a white ball is transferred: 6/11 and a white ball is chosen : 6/9

therefore; it gives 6/9*6/11=36/99

now, other case, black ball is transferred : 5/11

and a white ball is chosen : 5/9

therefore; it gives 5/9*5/11=25/99

net probability: 36/99 + 25/99= 61/99

Please correct me if i was wrong somewhere...