摘要概率论是讨论随机性或不确定性等现象的学科,而独立性的讨论是具中重要 内容 2—,由于实际需耍,对概率论中独立性的讨论也较为重耍,并且独立性对 解决一些实际问题具有理论意义。论文关于独立性的讨论做了如下分析:首先,本文讨论了随机事件独立性的概念、两个和多个事件的独立性、事件 独立性与互不相容,互斥的关系以及在生活中的应用,并通过实例进行了分析。另外,讨论了随机变量独立性的概念,性质以及判定方法,也都给出了实例 加以论证。关键词:随机事件;随机变量;独立性AbstractProbability theory is the subject of studying randomness or uncertainty phenome non such as discipline, and the study of independence is one of its important contents. Due to the actual need, it is very important to study the theory of probability, besides, the study of independence has theoretical significance to solve some practical problems.This thesis has done the following analysis on the research of independence:First of all, this paper has studies the concept of the independence of random event, the independence of two or more events , the independence of event, the relationship of incompatibility and the mutual exclusion as well as the application in the life, and these are analyzed through examples.Besides, this paper has studied the concept, the properties and methods of independent random variabilities, and also demonstrating them by examples・Key words: Random events; A random variability; Independence引吞.........................................................................................................21随机事件的独立性............................................................................... 31. 1 事件独立性的概念...........................................................................31. 1.1 两个随机事件的独立性........................................................... 31. 1.2 多个事件的独立性...........................................