Tanya prepared 4 different letters to be sent to 4 different address .For each letter ,she prepared an envelope with its correct address.if the 4 letters are to be put into 4 envelope at random.what is the possibility that only 1 letter will be put into the envelope with its correct address?
a.1/24,b.1/8,c.1/4,d.1/3,e.3/8
answer:d
求牛牛及斑竹告诉思路,谢谢
所有的组合是排列组合-24-分母
只有1各对应上的组合是:C41×C21×1=8 第一步:选一个对应上信封的信 C41;第二步:第二封信只能从余下的3各信封中的另外两个抽取 C21;第三步:只能有一个选择:余下的两封信只能装入确定的信封。
我的概率一向比较糟糕,这道题我想了比较久;而且每次都是想错了,看了答案才恍然大误。希望能与楼主共勉。
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