下面给大家列出的是最新gre考试数学知识排列组合部分的练习题,结合上面的gre考试数学的基础知识可以更好的理解这些内容。
练习题:
1:A, B独立事件,一个发生的概率是0.6 ,一个是0.8,问:两个中发生一个或都发生的概率 ?
解答:
P=P+P+P
=0.6+0.8+0.60.8=0.92
另一个角度,所求概率P=1-P
=1-=0.92
2:一道概率题:就是100以内取两个数是6的整倍数的概率.
解答:100以内的倍数有6,12,18,...96共计16个
所以从中取出两个共有1615种方法,从1-100中取出两个数的方法有99100种,所以P=/=12/505=0.024
3:1-350 inclusive 中,在100-299inclusive之间以3,4,5,6,7,8,9结尾的数的概率.
因为100-299中以3,4,5,6,7,8,9结尾的数各有20个,所以
Key:/350=0.4
4.在1-350中,337-350之间整数占的百分比
Key:/350=4%
5.在E发生的情况下,F发生的概率为0.45,问E不发生的情况下,F发生的概率与0.55比大小
解答:看了原来的答案,我差点要不考G了.无论柳大侠的推理还是那个哥哥的图,都太过分了吧?其实用全概率公式是很好解决这个问题的,还是先用白话文说一遍吧:
某一个事件A的发生总是在一定的其它条件下如B,C,D发生的,也就是说A的概率其实就是在,B,C,D发生的条件下A发生的概率之和.A在B发生时有一个条件概率,在C发生时有一个条件概率,在D发生时有一个条件概率,如果B,C,D包括了A发生的所有的条件.那么,A的概率不就是这几个条件概率之和么.
P=P+P+P
好了,看看这个题目就明白了.F发生时,E要么发生,要么不发生,OK?
所以,P=P+P 感觉上也没错吧? 给了P=0.45,所以
P= P-P= P-0.45
如果P=1,那么P=0.55
如果0.45=
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