Urn I contains 2 white and 4 red balls, whereas urn II contains 1 white and 1 red ball. A ball is randomly chosen from urn I and put into urn II, and a ball is then randomly selected from urn II. What is
(a) The probability that the ball selected from urn II is white?
(b) The conditional probability that the transferred ball was white given that a white ball is selected from urn II?