Question: Consider randomly selecting two points A and B on the circumference of a circle by selecting their angles of rotation, in degrees, independently from a

Consider randomly selecting two points A and B on the circumference of a circle by selecting their angles of rotation, in degrees, independently from a uniform distribution on the interval [0, 360]. Connect points A and B with a straight line segment. What is the probability that this random chord is longer than the side of an equilateral triangle inscribed inside the circle? (This is called Bertrand’s Chord Problem in the probability literature. There are other ways of randomly selecting a chord that give different answers from the one appropriate here.)

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