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全概率公式的不足与改进
引用本文:李全忠,刘长文,王希超.全概率公式的不足与改进[J].大学数学,2011,27(2):173-176.
作者姓名:李全忠  刘长文  王希超
作者单位:山东农业大学信息学院;
摘    要:指出了全概率公式存在的不足,主要表现为不便于应用与易于误导等问题,进而给出了改进型全概率公式及其证明.实践表明,本文所给出的改进型全概率公式有着易于理解、便于掌握和应用等优点.

关 键 词:样本空间  完备事件组  条件概率  全概率公式  复合试验

Deficiency of Formula of Total Probability and Its Modification
LI Quan-zhong,LIU Chang-wen,WANG Xi-chao.Deficiency of Formula of Total Probability and Its Modification[J].College Mathematics,2011,27(2):173-176.
Authors:LI Quan-zhong  LIU Chang-wen  WANG Xi-chao
Institution:LI Quan-zhong,LIU Chang-wen,WANG Xi-chao(College of Information,Shandong Agricultural University,Taian 271000,China)
Abstract:The paper first points out the deficiency of the formula of total probability,regarding that it is inconvenient to use and tends to be misleading.And then,the paper proposes a modified formula together with the proof of its improvement.Application shows that the formula is easy to understand,easy to master and easy to use.
Keywords:sample space  complete event group  conditional probability  formula of total probability  random experiment on compound  
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