在立方体的每一面上，随机选一双对边，连接它们的中点，求连线能环绕立方体的概率

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这是台湾网友 YAG 发表在“陆老师的《数学中国》园地”的一个帖子，

欢迎大家一起来想想如何解答：

Each face of a cube is given a single narrow stripe painted from

the center of one edge  to the center of the opposite edge. The  

choice of the edge pairing is made at random and independently

for each face.

What is the probability that there is a continuous stripe encircling

the cube?

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