Q2:
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p >1/2 ?
(1) More than 1/2of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10
请问这道题怎么做啊?
应该是选E把!
从10个人中选2个,都为女性的概率为P, 问P>1/2?
1)10个人中最少有1/2的女性 P>=C(2,5)/C(2,10)>=4/9,不充分
2)都选男性的概率少于1/10 P<=1-1/10=9/10,不充分
楼上的2)的解释有问题。都选男性的概率小于1/10,那么9/10应该是有一男或没有男的
我想应该是:设男人有n个,(n/10)*[(n-1)/9]<1/10
n(n-1)<9,则n最多只能有3个。
当有3个男人,即有7个女人的时候,全女的概率为(7/10)*(6/9)=14/30<1/2,所以不充分。。。
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