Question: The unit circle ({(x,y)|x2 +y2 = 1}) is divided into three arcs by choosing three random points on the circle. Compute the expected length

The unit circle ({(x,y)|x2 +y2 = 1}) is divided into three arcs

The unit circle ({(x,y)|x2 +y2 = 1}) is divided into three arcs by choosing three random points on the circle. Compute the expected length of the arc which has the smallest length among three arcs.

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