What is the probability that the triangle defined by these points as vertices has three acute angles

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Three points are chosen at random on a circle of unit
circumference. What is the probability that the triangle defined by these
points as vertices has three acute angles? Hint: One of the angles is obtuse if
and only if all three points lie in the same semicircle. Take the circumference
as the interval [0, 1]. Take one point at 0 and the others at B and C.

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