This is a math problem that you can try to complete and get the right answer.
Given n points drawn randomly on the circumference of a circle, what is the probability they will all be within any common semicircle?
solution
Problem 1 Solution
Number of Points
Actual Successes
Expected Successes
3
7,499,013
7,500,000
4
4,999,960
5,000,000
5
3,123,456
3,125,000
6
1,873,092
1,875,000
10
194,739
195,312.5
20
373
381.4697
answer
For n points the answer is n/(2n-1).
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