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 [math][0,1][/math]. Take one point at 0 and the others at [math]B[/math] and [math]C[/math].