英语翻译如果四对夫妻are arranged in a row,求 the probability that no hu

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英语翻译
如果四对夫妻are arranged in a row,求 the probability that no husband sits next to his wife.
写错了，是翻译一句话（英译华），并求题解

让E(i)代表i对夫妻丈夫夫人坐一起的概率
根据排容原理,
丈夫夫人不坐一起的概率=1-E(i,i=1,2,3,4)=1-E(1) U E(2) U E(3) U E(4)
=12/35
i对夫妻丈夫夫人坐一起的概率(i=1,2,3,4)
是(C(4,1)*2*7!/8!-C(4,2)*2*2*6!/8!+C(4,3)*2*2*2*5!/8!-C(4,4)*2*2*2*2*4!/8!)=23/35
丈夫夫人不坐一起的概率=1-23/35=12/35
所以答案是12/35
不知我做得对不对,如果不对请见谅

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