摘要17中叶的时候，由贵族德·梅耳提出的掷骰子问题所引发的概率问题及赌注问题经过数学家们的研究最终形成了早期概率论，研究偶然事件的数量关系。而自1654年至今，概率论已经发展成方法论的综合性学科，是数学与统计的基础课程，是数学的重要部分。通过文献研究，结合实例等方法，运用概率论的相关理论知识（古典概率，贝叶斯公式，全概率公式，离散分布，大数定律，中心极限定理等）以及数理统计的相关数据分析理论知识（正态分布，回归分析，假设检验等）可以分析生活中的概率问题，促进社会经济医疗等的发展。在接下来的讨论研究中，大家会对概率论的起源和发展了解更清晰，对概率论的知识掌握更熟练。能知道概率论在生活中的广泛应用并运用概率论知识解释生活中出现的一些随机现象，认识到问题的本质，理智的看待身边的概率问题。89333

Abstract    In the midst of the middle of the period, the probabilistic question and the betting problem raised by the dice problem raised by the aristocrat de Meer finally formed the early probability theory through the mathematicians' research and studied the quantitative relationship between the contingencies。 Since 1654 to date, probability theory has developed into a comprehensive methodology of methodology, is the basic course of mathematics and statistics, is an important part of mathematics。 (Classical probability, Bayesian formula, full probability formula, discrete distribution, law of large numbers, central limit theorem, etc。) and related data analysis theory of mathematical statistics through the literature research, combined with examples and other methods, the use of theoretical theory of probability theory (Normal distribution, regression analysis, hypothesis testing, etc。) can analyze the probability of life problems, and promote the development of social and economic health care。 In the next discussion and study, we will understand the origin and development of probability theory more clearly, the knowledge of probability theory is more skilled。 We can know the broad application of probability theory in life and use probabilistic knowledge to explain some random phenomena in life, realize the nature of the problem, and think about the probabilities of the problem。     

毕业论文关键词：概率论；起源发展；经济运用；博弈抽签；保险运用；医疗运用；体育运用源Q于W优E尔A论S文R网wwW.yOueRw.com 原文+QQ75201,8766

  Key words：Probability theory; origin development; economic use; game lottery; insurance use; medical use; sports use 

目录

一、引言 3

二、概率论的发展简介 3

（一）概率论的起源 3

（二）概率论的发展 4

（三）概率论的公理化 4

（四）概率论的现代发展 4

三、概率论在生活中的应用 5

（一）概率论在经济上的应用 5

（二）概率论在博弈来自优Y尔L论W文Q网wWw.YouERw.com 加QQ7520~18766 抽签上的应用 7

（三）概率论在保险上的应用 8

（四）概率论在医疗方面的应用 9

（五）概率论在体育竞技上的应用 12

（六）生活中的小概率事件 13

四、总结 14