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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(2): Simulation | Comment 16 of 21 |
(In reply to re: Simulation by Charlie)

Ok, this is the formatted table-- the middle column is the one applicable to the problem posed-- the ones on either side further break down the results into quadrants, and the last column the total number of trials:
  3   187486 561980    749466   250534      0   1000000
  4    62659 437033    499692   500308      0   1000000
  5    19439 292777    312216   683941   3843   1000000
  6     5880 181339    187219   787418  25363   1000000
  7     1662 107769    109431   816731  73838   1000000
  8      492  62104     62596   790008 147396   1000000
  9      153  35259     35412   726006 238582   1000000
 10       34  19706     19740   643549 336711   1000000
 11        7  10834     10841   554994 434165   1000000

  Posted by Charlie on 2003-05-21 03:40:30

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