Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container.
After a long time has passed, you record the number of balls in each container every second. In 10,000 s, you find 80 times when all the balls were in one container (either one) and the other container was empty.
a. How many balls are there?
b. What is the most likely number of balls to be found in one of the containers?