英文数学概率题If three fair dice are thrown,and the sum is an odd number,what is the probability that all threedice show an odd number?

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英文数学概率题
If three fair dice are thrown,and the sum is an odd number,what is the probability that all three
dice show an odd number?

A:the sum is an odd number,B:all three dice show an odd number
p(A)=0.5,p(B)=0.5^3,p(A|B)=1
p(B|A)=p(A|B)*P(B)/P(A)=1/4