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古典概型是初等概率论中最基本的内容之一。在开始学习概率论时,大部分的习题都集中在古典概型这一部分。利用概率的古典定义计算概率时,首先应当确定随机试验的基本事件的总数,明确样本空间是什么,再确定要求概率的随机事件所包含的基本事件数,那么,它与基本事件总数之比就是所求的概率。有些随机现象可以用不同的样本空间来描述,因此在古典概型中对同一个问题,常常有多种不同的解法。为了培养学生分析问题和解决问题的能力,逐步训练采用最简便的方法解题,让学生熟悉同一问题的
The classical model is one of the most basic contents of elementary probability theory. When we started learning probability theory, most of the exercises were focused on this part of the classical model. When using the classical definition of probabilities to calculate probabilities, we should first determine the total number of basic events in a random experiment, specify what the sample space is, and then determine the number of basic events involved in the stochastic event that requires probabilities. Then, the ratio of it to the total number of basic events is The required probability. Some random phenomena can be described by different sample spaces. Therefore, there are often many different solutions to the same problem in classical models. In order to train students’ ability to analyze problems and solve problems, step-by-step training is the easiest way to solve problems and students are familiar with the same problem.