关于贝特朗奇论的新观点——基于点的均匀分布假设进行建模分析  

The New Viewpoint of Bertrand Paradox——Modeling and Analyzing Based on the Assumption of a Uniform Distribution for Points

作　　者：王奕可 

机构地区：[1]中央财经大学保险学院,北京102206

出　　处：《大学数学》2016年第1期44-48,共5页College Mathematics

摘　　要：针对贝特朗问题进行建模,给出在适当的附加均匀分布假设下,概率解可以取到区间[0,1]内任一值的结论.为得出在无附加条件下贝特朗问题的解,同样采用建模方法,通过改变模型参数使附加条件变为贝特朗问题的内含条件,进而导出结果,以此判明既有的诸主流解法的正确性.For the Bertrand＇s question, this paper will model to show the conclusion that the probability can be equal to any value in the interval E0,1] in condition of an appropriate additional assumption of a uniform distribution for points. In order to the answer of the Bertrand＇s question without any additional assumptions, the method of modeling will be also adopted. The additional assumption of the model can be converted into the inherent requirement of the Bertrand＇s question by changing the parameter of the model, then the answer will be derived. Therefore, the correctness of many traditional viewpoints is also shown.

关 键 词：贝特朗奇论 均匀分布 几何概型 

分 类 号：O211.2[理学—概率论与数理统计]