A box A contains 9 red balls and 1 white ball. A box B contain 8 red balls and 1 white ball. A ball is to be taken at random from box A and put into box B. Then a ball is to be taken at random from box B. Find the probability that this ball from box B is white.

The prob that the ball transferred from A to B is white is 1/10 or .1

There are now 10 balls in B of which 1.1 are white.
So the prob that a white ball is drawn from B is 1.1/10 or 11/100

Somebody please confirm my logic.