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Three Points in a Square (Posted on 2008-03-17) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Faster, simpler, better and now FURTHERHarry2009-03-18 15:41:15
AnswerK Sengupta2009-01-07 15:16:45
SolutionFaster, simpler, better and now FURTHERFrankM2008-03-25 16:40:18
An Alembic of Alephantine Animadversionsed bottemiller2008-03-19 10:50:32
re(4): Not faster, simpler, or betterCharlie2008-03-18 17:01:00
re(4): Not faster, simpler, or betterCharlie2008-03-18 16:49:16
re(3): Not faster, simpler, or bettered bottemiller2008-03-18 16:15:24
re(2): Not faster, simpler, or betterCharlie2008-03-18 10:45:45
re: Not faster, simpler, or bettered bottemiller2008-03-18 09:36:44
Some ThoughtsNot faster, simpler, or betterSteve Herman2008-03-18 00:54:09
Hints/Tipsthoughts to share with ed bottemillerFrankM2008-03-17 21:47:34
re: Faster, simpler, bettered bottemiller2008-03-17 20:58:26
SolutionFaster, simpler, betterFrankM2008-03-17 19:56:21
Guessed bottemiller2008-03-17 17:20:57
Some ThoughtsAlmost all the wayFrankM2008-03-17 17:13:10
Solutionre: I give up! (spoiler)Charlie2008-03-17 16:28:55
I give up! (spoiler)Steve Herman2008-03-17 13:45:20
Solutioncomputer exploration -- Monte Carlo methodCharlie2008-03-17 13:21:49
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