geometry
Posted by Thomas on October 14th, 2007 at 12:22 pm
I found an interest math problem Bertrand's paradox. This problem was originally posed by Joseph Bertrand in his work.
The Problem
Determine the probability that a random chord of a circle of unit radius has a length greater than the square root of 3, the side of an inscribed equilateral triangle.
Experiment simulation
I've modeled this problem with 3 java classes (Circle, Point, Main). The Main class does the experiment with other 2 classes. The main problem in this paradox is the random chord definition. What do we mean under random chord? I try to implement the problem in the way that I select both chords of circle object randomly.
