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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(4): Simulation | Comment 18 of 21 |
(In reply to re(3): Simulation by DJ)

In all 10000 trials 3 random points all three fell within a 180 span? And with 4 points, 8742 out of 10000 fell within the span, when 5000 would have been expected? If 5000 are expected we'd usually expect that number +/- 70 as the standard deviation, so even 3 std deviations would be 5210--nowhere near 8742.
  Posted by Charlie on 2003-05-22 05:25:35

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