小學數學題

小學數學競賽題：

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?

我可以用無限序列的公式做出來， 不過， 有別的方法嗎？ 很好奇小學生怎麽解這道題。