关键词: 贝特朗奇论, 蒙特卡罗法, 概率, 统计

Abstract:

This paper is designed to solve the geometric probability problem of Bertrand paradox by using Monte Carlo method. Owing to the result differences which are caused by three different samples space, Monte Carlo method is used to simulate random sampling to verify the rationality of third method. And with the help of the computer, Matlab software programming and mathematical statistics in the statistical counting method are used to solve this problem. This solution is not only using the Monte Carlo law principle reasonably, but also important to understand and know more of the randomness of the geometric probability problem.

Key words: Bertrand odd theory, Monte Carlo method, probability, statistics