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Ants on a triangle (Posted on 2002-11-20) Difficulty: 2 of 5
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?

See The Solution Submitted by levik    
Rating: 2.8000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
answer | Comment 12 of 13 |

The required probability that  no two ants will ever collide is 0.25


  Posted by K Sengupta on 2007-05-28 13:35:50
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