51. One box contains six red balls and four green balls, and a second box contains seven red balls and three green balls. A ball is randomly chosen from the rst box and placed in the second box. Then a ball is randomly selected from the second box and placed in the rst box.

a. What is the probability that a red ball is selected from the rst box and a red ball is selected from the second box?

b. At the conclusion of the selection process, what is the probability that the numbers of red and green balls in the rst box are identical to the numbers at the beginning?