古典概型中随机事件相互独立的充要条件

Sufficient and Necessary Condition of Independence About Random Events in Classic Probability Model

在古典概型和概率空间(Ω,F,P)[1]上,讨论随机事件相互独立的充要条件。证明概率空间(Ω,F,P)上随机事件相互独立的充要条件是随机事件可表示成不同轴条事件。

On the basis of classic probability model and probability space(Ω,F,P),this thesis discusses the sufficient and necessary condition of independence about random events.We have proved that random events are independent if and only if random events can be transformed into strip events and different axis.