suppose that E and F are events such that p(E)=0.8,and p(F)=0.6.show that p(E∪F)≥0.8 and p(E∩F)≥0.
问题描述:
suppose that E and F are events such that p(E)=0.8,and p(F)=0.6.show that p(E∪F)≥0.8 and p(E∩F)≥0.
答
proof:
We have that p(E∪F)≥p(E)=0.8,
and P(E∩F)≥p(E)+p(F)-1=0.4