绵阳师范学院学报
綿暘師範學院學報
면양사범학원학보
JOURNAL OF MIANYANG NORMAL UNIVERSITY
2011年
8期
9-10,21
,共3页
概率%测度%不可能事件%必然事件
概率%測度%不可能事件%必然事件
개솔%측도%불가능사건%필연사건
probability%measure%impossible event%certain event
通过"概率为0的事件"和"不可能事件"、"概率为1的事件"和"必然事件"的关系,分析说明了在实际应用中,由于不能正确理解"概率为0的事件不一定是不可能事件"与"概率为1的事件不一定是必然事件"的含义,容易导致在判断两个事件是否具有包含关系时形成一个误区:"事件A与B乘积的概率等于A的概率"与"A包含于B"等价,并举例说明了此结论错误的原因。
通過"概率為0的事件"和"不可能事件"、"概率為1的事件"和"必然事件"的關繫,分析說明瞭在實際應用中,由于不能正確理解"概率為0的事件不一定是不可能事件"與"概率為1的事件不一定是必然事件"的含義,容易導緻在判斷兩箇事件是否具有包含關繫時形成一箇誤區:"事件A與B乘積的概率等于A的概率"與"A包含于B"等價,併舉例說明瞭此結論錯誤的原因。
통과"개솔위0적사건"화"불가능사건"、"개솔위1적사건"화"필연사건"적관계,분석설명료재실제응용중,유우불능정학리해"개솔위0적사건불일정시불가능사건"여"개솔위1적사건불일정시필연사건"적함의,용역도치재판단량개사건시부구유포함관계시형성일개오구:"사건A여B승적적개솔등우A적개솔"여"A포함우B"등개,병거례설명료차결론착오적원인。
This paper is to,by analyzing relationships between zero-probability events and impossible events,and that between one-probability events and certain events,introduce an easily happening misunderstanding in practical application,namely,of the probability of the product of Event A and Event B is equal to the probability of Event A is equivalent to "Event A is included in Event B,in respect of determining whether there is an inclusion relationship between these two events,due to failing to properly understand what "a zero-probability event is not necessarily an impossible event" and "a one-probability event is not necessarily a certain even" mean.This paper is also to analyze the reasons for this misunderstanding by providing some illustrations.