概率计算中易混淆问题的教法研究  

Research on Teaching of the Probability Calculation of Confusable Random Events

作　　者：刘建慧[1] 

机构地区：[1]北京农学院基础部数学教研室,北京102206

出　　处：《大学数学》2012年第4期147-150,共4页College Mathematics

基　　金：北京市属市管高校人才强教计划资助项目(PXM2007-014207-044539)

摘　　要：首先从具体实例提出了物品检验概率计算中一类易混淆问题.然后从理论上证明了无放回逐次抽取中两种概率计算方法的合理性,其定理证明过程充分揭示了这类检验方法与其它相关抽取方式之间的关系并强调了最根本的分析问题思路.最后,研究了文中所得到的一般性结论的适用范围,从而使得这类易混淆问题的讲解变得清晰条理.The problems in probability calculation of confusable random events are first presented, by the concrete examples. Then a theorem is proposed to generalize two caculation results of one by one no return test. From the proof procedure of the theorem , the relations with other relative tests are demonstrated and the most fundamental analytical method is emphasized. At last, the limitations of the generalized conclusion in the theorem are discussed, which makes the teaching problems clear.

关 键 词：随机事件 概率 样本点 

分 类 号：O211[理学—概率论与数理统计]