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问题一只虫子沿三角形的铁圈爬行,在每个顶点,都有等机会爬向另两个顶点之一.则它在n次爬行后恰好回到起始点的概率是多大?(2010年全国高中数学联赛广东预赛)
Problem A bug creeps along a triangle of hoops and at each vertex has the chance to climb to one of the other two vertices.However, what is the probability that it will just return to the starting point after n crawls? High school math league Guangdong preliminaries)