A,B,C are playing backgammon tournament. At first, A plays with B. Then the winner plays with C. As the tournament goes on, the last winner plays with the player who did not play in the previous game. When a player wins two successive games, he will win the tournament. If each player has equal chance to win a game, what is the probability that C wins the tournament?<spanclass=′latex−bold′>(A)</span>72<spanclass=′latex−bold′>(B)</span>31<spanclass=′latex−bold′>(C)</span>143<spanclass=′latex−bold′>(D)</span>71<spanclass=′latex−bold′>(E)</span>None