解几何概率问题的数学实验

Mathematics Experiments on Solving Problems of Geometric Probability

用数学实验的方法对一些比较典型的几何概率问题进行求解,指出了这种方法的特点与优势。针对著名的Bertrand悖论进行了实验研究,导出了三种假设下的实验图形,用于对此悖论的理解。

Some typical problems of geometry probability are solved with the method of mathematics experiments.It is pointed out what characteristic and superiority this method has.In view of the famous Bertrand paradox the conducted experiment gets graphs on three kinds of supposition,which is used to understand the paradox.