Miklos Schweitzer 1962_10
Source:
September 18, 2008
geometryprobabilityprobability and stats
Problem Statement
From a given triangle of unit area, we choose two points independetly with uniform distribution. The straight line connecting these points divides the triangle. with probability one, into a triangle and a quadrilateral. Calculate the expected values of the areas of these two regions. [A. Renyi]