Suppose there are three balls in a bag. One ball is black and
two others are white. Three people, A, B and C, will pick a ball in
this order. Instead of deciding the winner by the first black ball,
the person who picks the black ball for the second time will be the
winner. For example, if A picks the black ball for his first pick,
A is not the winner. He just returns it to the bag. And...