摘要
对随机事件的独立性进行了探究,分析了两个事件、三个事件独立性的本质,说明条件P(ABC)=P(A)P(B)P(C)的不可或缺性,并从多个角度给出了判断事件独立性的方法。通过数形结合,阐述事件间相互独立、互不相容和互不影响的区别与联系,进一步加深对独立性的理解。最后,通过例题,证明相互独立的3个事件的一些结论,并说明三个事件两两独立与相互独立的不同。
This article explores the independence of random events and analyzes the essence of the independence of two or three events,explains the indispensability of P(ABC)=P(A)P(B)P(C)conditions,and proposes methods for judging event independence from multiple perspectives.By combining numbers and shapes,it explains the differ-ences and connections between events that are mutually independent,incompatible,and have no impact on each other,we can further deepen our understanding of independence.Finally,through examples,it proves some conclu-sions about the three independent events and explains the differences between the pairwise independence and mu-tual independence of the three events.
作者
范飞亚
吴文斌
杨泽辉
FAN Feiya;WU Wenbin;YANG Zehui(China Maritime Police Academy,Ningbo,Zhejiang Province,315801 China)
出处
《科技资讯》
2024年第21期239-241,248,共4页
Science & Technology Information
关键词
概率论
随机事件
独立性
相容
Probability theory
Random events
Independence
Compatible
