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Same side story (Posted on 2017-03-16) Difficulty: 3 of 5
Suppose n (n>1) points are placed at random on a circumference of a circle.
If P(n) denotes the probability that all n points lie on the same side of some diameter - find P(2), P(3) and P(4).

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips A classic puzzle Comment 5 of 5 |
It looks like we already talked about this problem way back in 2003 with the problem Don't Be a Square.  The solution was determined to be P(n) = n/2^(n-1)
  Posted by Brian Smith on 2017-03-29 13:37:53
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