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 Three Points in a Square (Posted on 2008-03-17)
Three points are chosen at random inside a square. Each point is chosen by choosing a random x-coordinate and a random y-coordinate.

A triangle is drawn with the three random points as the vertices. What is the probability that the center of the square is inside the triangle?

 No Solution Yet Submitted by Brian Smith Rating: 3.2000 (5 votes)

 Subject Author Date re: Faster, simpler, better and now FURTHER Harry 2009-03-18 15:41:15 Answer K Sengupta 2009-01-07 15:16:45 Faster, simpler, better and now FURTHER FrankM 2008-03-25 16:40:18 An Alembic of Alephantine Animadversions ed bottemiller 2008-03-19 10:50:32 re(4): Not faster, simpler, or better Charlie 2008-03-18 17:01:00 re(4): Not faster, simpler, or better Charlie 2008-03-18 16:49:16 re(3): Not faster, simpler, or better ed bottemiller 2008-03-18 16:15:24 re(2): Not faster, simpler, or better Charlie 2008-03-18 10:45:45 re: Not faster, simpler, or better ed bottemiller 2008-03-18 09:36:44 Not faster, simpler, or better Steve Herman 2008-03-18 00:54:09 thoughts to share with ed bottemiller FrankM 2008-03-17 21:47:34 re: Faster, simpler, better ed bottemiller 2008-03-17 20:58:26 Faster, simpler, better FrankM 2008-03-17 19:56:21 Guess ed bottemiller 2008-03-17 17:20:57 Almost all the way FrankM 2008-03-17 17:13:10 re: I give up! (spoiler) Charlie 2008-03-17 16:28:55 I give up! (spoiler) Steve Herman 2008-03-17 13:45:20 computer exploration -- Monte Carlo method Charlie 2008-03-17 13:21:49

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