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一、引言 1777年,Buffon提出了著名的投针问题。二百多年来,许多作者重复了这项实验,在不同程度上确定了圆周率π值,同时逐渐地发展了几何概率的概念。 近年来,已经有许多准确得多的方法来确定π值,例如采用电子计算机可以得到π值的十万位小数。因此,对于计算π值,设计实验实际上只具有历史的意义。但是,值得注意的是这类实验所采用的方法:即建立一个概率模型,它与某些感兴趣的量如常数π有关,然后设计适当的随机试验,并通过这一试验的结果来确定这些量。随着计算机技术的发展,几何概率的概念已经发展成为
I. INTRODUCTION In 1777, Buffon raised the famous question of casting. For more than two hundred years, many authors have repeated this experiment, determined the pi value to varying degrees, and gradually developed the concept of geometric probability. In recent years, there have been many more accurate methods to determine the value of π. For example, an electronic computer can obtain a 100,000-digit decimal value. Therefore, for the calculation of π values, design experiments actually have historical significance. However, it is worth noting that the method used for this type of experiment is to establish a probability model that is related to certain quantities of interest, such as a constant π, and then design appropriate random tests and determine the results from this experiment. the amount. With the development of computer technology, the concept of geometric probability has developed into