用蒙特卡罗法求解贝特朗奇论  

Using the Monte Carlo Method to Solve the Bertrand Odd

作　　者：段棂宴[1] 王凡彬[1,2] 杨进[1] 王鹏程[1] 刘绪涛[1] 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641100 [2]四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《大理学院学报（综合版）》2013年第4期9-11,共3页Journal of Dali University

基　　金：内江师范学院2012年大学生科研基金资助项目(12NSD-40)

摘　　要：针对贝特朗奇论所涉及的一个几何概率问题,由于3种不同样本空间的确定导致其结果的差异,利用蒙特卡罗法随机模拟抽样来验证了解法3的合理性,借助计算机用Matlab软件编程以及数理统计中的统计计数等方法解决了该问题。不仅合理运用了蒙特卡罗法原理,而且对理解以及进一步认识几何概率问题中的随机性具有重要意义。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.

关 键 词：贝特朗奇论 蒙特卡罗法 概率 统计 

分 类 号：O211.9[理学—概率论与数理统计]