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統計： A(5), B(5), C(0), D(3), E(0) #708712

meimei

B1 · 2015/02/11

#989932

(A)p(A∪B)=p(A)+p(B)-p(A∩B),所以(7/12)=(1/2)+(1/3)-p(A∩B),得-p(A∩B)=3/12=1/4......正確

(B)p(A|B)=p(A∩B)/p(B)=(1/4)/(1/3)=3/4......正確

(C)p(B|A)=p(A∩B)/p(A)=(1/4)/(1/2)=1/2

(D)p(A')=1/2, p(B')=2/3,p(A'∩B')=5/12,所以p(A'|B')=p(A'∩B')/p(B')=(5/12)/(2/3)=5/8

(E)p(B'|A')=p(A'∩B')/p(A')=(5/12)/(1/2)=5/6......正確