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一题GRE数学题A university admitted 100 students who transferred f

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一题GRE数学题
A university admitted 100 students who transferred from other institutions.Of these students,34 transferred from two-year community colleges,25 transferred from private four-year institutions,and the rest transferred from public four-year institutions.If two different students are to be selected at random from the 100 students,what is the probability that both students selected will be students who transferred from two-year community colleges?
答案是17/150,我觉得是17/50啊.可能是问题理解错了吧,
两年制的有34人,私立四年的有25人,公立四年的有100-34-25=41人,
然后用概率C2 3除以C2 100,(我打不出来公式)即 34*33除以100*99为17/150
这是数学题,不关英语的事,你英语已经很好了