小学数学题

小学数学竞赛题：

Three kids A, B, C are playing a dice game. A goes first, B second, and
C third. The first person to roll a three wins and the game is over. The
dice are continuously passed in the above order until someone wins. What is the probability that C wins?

我可以用无限序列的公式做出来， 不过， 有别的方法吗？ 很好奇小学生怎么解这道题。