单选题
设0
AP(C|
B+P
CP(C|
正确答案
答案解析
由P(A+B|C)=P(A|C)+P(B|C),因为P(A+B|C)=P(A|C)+P(B|C)-P(AB|C),所以P(AB|C)=0,从而P(ABC)=0,故P(AC+BC)=P(AC)+P(BC)-P(ABC)=P(AC)+P(BC),选(B).
AP(C|
B+P
CP(C|
由P(A+B|C)=P(A|C)+P(B|C),因为P(A+B|C)=P(A|C)+P(B|C)-P(AB|C),所以P(AB|C)=0,从而P(ABC)=0,故P(AC+BC)=P(AC)+P(BC)-P(ABC)=P(AC)+P(BC),选(B).