求概率的题~P(A)=0.14P(B)=0.23P(C)=0.37P(A交B)=0.08P(A交C)=0.09P(B交C)=0.13P(A交B交C)=0.05求P(A|B并C),P(A|A并B并C),P(A并B|C)的概率

Question

求概率的题~
P(A)=0.14 P(B)=0.23 P(C)=0.37
P(A交B)=0.08 P(A交C)=0.09 P(B交C)=0.13 P(A交B交C)=0.05
求P(A|B并C),P(A|A并B并C),P(A并B|C)的概率

Answer 1

P(B∪C)=P(B)+ P(C)-P(B∩C)=0.23+0.47-0.13=0.57
P[A∩（B∪C)]=[(A∩B)∪(A∩C)]=0.08+0.09-0.05=0.12
P(A|B∪C)=P[A∩（B∪C)]/P(B∪C)=0.12/0.57=4/19,
P(A|A并B并C)=1,
P(A∪B|C)=P[(A∪B）∩C]/P(C)=(0.09+0.13-0.05)/0.37=17/37