Suppose there are three balls in a bag. One is red and two others are white. Three
people, A, B and C, will pick a ball in this order. The first person who picks the red ball
will be the winner. If a white ball is picked, it will be returned to the bag. Until someone
wins, this game will continue in the order ABCABC…. Estimate the probability of
winning for each person (A, B, and C).