问题
单项选择题
设A、B是两个随机事件,且0<P(A)<1,P(B)>0,,则必有()。
A.A
B.B
C.C
D.D
答案
参考答案:C
解析:
由题设知,不论A是否发生,随机事件B发生的概率相同,说明A,B互相独立。或直接用条件概率定义进行推导。
由条件概率公式及条件
于是有
可见 P(AB)=P(A)P(B)
设A、B是两个随机事件,且0<P(A)<1,P(B)>0,,则必有()。
A.A
B.B
C.C
D.D
参考答案:C
解析:
由题设知,不论A是否发生,随机事件B发生的概率相同,说明A,B互相独立。或直接用条件概率定义进行推导。
由条件概率公式及条件
于是有
可见 P(AB)=P(A)P(B)
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