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Don't Be a Square (Posted on 2003-05-19) Difficulty: 4 of 5
Given n points drawn randomly on the circumference of a circle, what is the probability they will all be within any common semicircle?

See The Solution Submitted by DJ    
Rating: 4.4667 (15 votes)

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re(5): Simulation | Comment 19 of 21 |
(In reply to re(4): Simulation by Charlie)

You're right...I was too lazy to write the program so I looked for one..the table that I found was one someone wrote to determine if n random points were all in the same hemisphere, not semicircle (obviously any three points are coplanar and can always be put into the same half of a sphere).
It was one in the morning, I wasn't paying attention...
  Posted by DJ on 2003-05-22 11:57:25

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