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n points are placed at random on the circumference of a circle, what is the probability that they all lie within a common semicircle?
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i have googled this question and there are many explanations, but i have to say i don't even really understand what it is asking
think of placing points at random, now what is the probability that it is possible to cut the circle in half leaving all the points on one side, for example it is possible here: |dw:1333717099690:dw|but not here:|dw:1333717241684:dw|
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