单项选择题

设A 1 ,A 2 和B是任意事件,且0<P(B)<1,P{ (A 1 ∪A 2 )|B}=P(A 1 |B)+ P(A 2 |B),则( )

A.P(A 1 ∪A 2 )=P(A 1 )+P(A 2
B.P(A 1 ∪A 2 )=P(A 1 |B)+P(A 2 |B)
C.P(A 1 B∪A 2 B)=P(A|B)+P(A 2 B)
D.P((A 1 ∪A 2