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我们知道如果每个事件发生的概率只与构成该事件区域的长度(面积或体积)成比例,则称这样的概率模型为几何概率模型,简称为几何概型.应用几何概型解决问题时,一定要正确理解几何概型试验的两个基本特点:(1)无限性:在一次试验中,可能出现的结果有无限多个;(2)等可能性:每个结果的发生具有等可能性.下面通过两个例题来分析上述两个条件的正确应用的方法.
We know that if the probability of each event is only proportional to the length (area or volume) of the region that constitutes the event, then such a probability model is called the geometric probability model, referred to as the geometric profile for short .When applying the geometric model to solve the problem, We must correctly understand the two basic characteristics of the geometric test: (1) infinity: in an experiment, there may be an infinite number of results; (2) the possibility of: the occurrence of each outcome is the possibility of Here are two examples to analyze the correct application of these two conditions.