There are three boxes on a table. The first box contains 3 white balls and 2 black balls. The second box contains 1 white ball and 1 black ball. The third box contains 2 white balls and 2 black balls. Without looking, you take one ball from the first box and put it into the second box. Then you take one ball from the second box and put it into the third box. Finally, you choose one ball from the third box. What is the probability that the last ball you choose it white? No decimal values. Write the probability that the last ball you pick is white first, and then the probability that the last ball you pick is black.