Three people play a chess game, and everyone is of the same level. The winner plays with the other player, and the winner is the one who wins two games in a row. What is the probability that each of the three will win?
三人进行下棋比赛，每个人的水平相当，赢者与另一人下，连赢两局者为胜。问三人赢的概率各为多少？