Three ants are arranged on vertices of a triangle, one ant to a vertex. At some moment, all the ants begin crawiling along the sides of the triangel. Each one crawls along one of the two sides that connect to the vertex it is sitting on, with an equal probability of picking either.

Assuming that all the ants move with an equal speed, and that they keep crawling forever in the same direction along the triangle, what are the odds that no two will collide?

When it says 'crawling forever' and 'in the same direction along the triangle', doesn't that imply the triangle is infinite in size and therefore they will never meet?

Posted by Aeternus on 2002-11-21 04:35:13