Box 1 contains 5 red, 6 white, and 9 blue balls. Box 2 contains 7 red, 8 white, and 4 blue balls. A ball is withdrawn at random from Box 1 and placed in Box 2. Then, a ball is taken at random from Box 2. Find the probability that
(a) both balls with drawn were red;
(b) the ball withdrawn from Box 2 was red.