482.The Arc That Catches the Point
★★★geometric probabilityCh. 6 — Random Variables and Expectation444+ Problems in Probability
Three points are chosen uniformly at random on the circumference of the unit circle, dividing it into 3 arcs. Find the expected length of the arc that contains the fixed point .
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The three arcs average — but the arc containing a fixed point is not a typical arc.
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