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FACT1: P(A)< (F) FACT2: P(F|A)=P(AF)/P(A) >95% SO: P(A|F)=P(AF)/P(F)< P(AF)/P(A)<95%-->E 我也觉得这样推导有问题。 1.P(F|A)=P(AF)/P(A) >95%没问题, 2.P(A|F)=P(AF)/P(F), 因为P(A)< (F) , 所以P(AF)/P(A) > P(AF)/P(F)没问题, 结合1.P(AF)/P(A) >95% 不必然推出 P(AF)/P(F) < 95%啊,因为P(AF)/P(F)有可能=95%啊。。。 另外: Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages. Fact: Over 95 percent of people who have asthma also suffer from hay fever.(这里的95%是说:在得A病的人里有95%的人也得F)
If the information given as facts above is true, which of the following must also be true? A. Hay fever is a prerequisite for the development of asthma. B. Asthma is a prerequisite for the development of hay fever. C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population. D. The number of people who have both of these ailments is greater than the number of people who have only one of them. E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent (这里的percentage是不是说得H病的人里有A病的比例,我觉得画个图很清晰地可以看出:F集合里也得A的部分很少很少,因为根据第一句话:Asthma, a bronchial condition, is much less common ailment than hay fever) 画图时画一个小小圆(因为much less common) 表示A病集合,再画一个大大圆表示F病集合,A图多于95%的部分画在F大圆里,可以清晰地看出F里面是A的部分很少很少,不可能等于或超出95%,否则“much less common”就不能成立。。。 画图时画一个小小圆(因为much less common) 表示A病集合,再画一个大大圆表示F病集合,A图多于95%的部分画在F大圆里,可以清晰地看出F里面是A的部分很少很少,不可能等于或超出95%,否则“much less common”就不能成立。。。以上是我的理解,不知道对否。。。 |