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?

(In reply to re: Just picking at the words =P by levik)

Yes, i got that, but if it's crawling in the same direction, doesn't that mean it can't turn at the corners when it hits one? and therefore walks off the triangle if the triangle was finite.

Posted by Aeternus on 2002-11-26 00:46:21