MathDB
Miklos Schweitzer 1963_10

Source:

September 19, 2008
probabilityanalytic geometrygeometrygeometric transformationrotationintegrationcombinatorial geometry

Problem Statement

Select n n points on a circle independently with uniform distribution. Let Pn P_n be the probability that the center of the circle is in the interior of the convex hull of these n n points. Calculate the probabilities P3 P_3 and P4 P_4. [A. Renyi]