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 Ants on a triangle (Posted on 2002-11-20)
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)

 Subject Author Date Problem Solution K Sengupta 2007-05-28 13:36:57 answer K Sengupta 2007-05-28 13:35:50 I dont like ants. They bite me. Lewis 2003-07-24 07:58:45 re(3): Just picking at the words =P Jonathan 2003-03-19 06:03:33 the solution Jonathan 2003-03-19 06:01:21 re(2): Just picking at the words =P Aeternus 2002-11-26 00:46:21 A strange thing for an ant to do... riz 2002-11-21 15:13:50 re: Just picking at the words =P levik 2002-11-21 05:38:10 Just picking at the words =P Aeternus 2002-11-21 04:35:13 re: Answer? friedlinguini 2002-11-21 02:41:09 Answer? Dulanjana 2002-11-21 02:38:05 No Subject maverick 2002-11-20 22:19:28 No Subject TomM 2002-11-20 17:33:30

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