Paradoxy geometrické pravděpodobnosti.

Abstract

This work is about analysis of some aspects of the Bertrand's paradox. This problem is given by existence of different solutions determining probability, that a chord chosen at random is longer than the side of an inscribed equilateral triangle. Following completing premises of definite solution it is able to find such solution, which is scale, rotation and translational invariant. It is proving that this solution corresponds with the Monte Carlo method and also with real experiment and program simulation. Simulation software was implemented in Java language.