概率Probability
某种特定要求的结果出现的概率=满足要求的结果总数/所有可能的结果数互斥事件Mutually exclusive events
两个互斥事件同时发生的概率为0
独立事件 Independent events
两个独立事件A,B同时发生的概率为AB各自单独发生的概率之乘积两个独立事件AB单独发生的概率分别为a,b,则AB之中至少发生一个的概率为:
a+b-ab
若某事件的完成可以分成n个步骤,满足其第一步要求的概率是P1,满足第二步的概率是P2满足第n步的概率是Pn,那么最终结果达到要求的概率为P=P1P2
若某时间的完成可以通过n种不同途径,通过第一种途径达到要求的概率是P1,通过第二种途径达到要求的概率是P2通过第n种途径达到要求的概率是Pn,那么最终结果达到要求的概率为P=P1+P2++Pn
例题.扔两次硬币,两次都得到正面的概率?两次都是同一面的概率?
例题.100个零件里面有10个事坏的,从中随机取出3个,3个都是坏零件的概率是多少?
例题.Cast two dices and get two values, what is the probability of one value being exactly 2 more than the other?
A.4/30
B.2/9
C.1/9
D.4/9
E.7/36
例题.4份不同的文档随机分给3名打字员打字,3个人每人都至少分到一份文档的概率是多少?
平时,建议大家一定要注意GRE数学基本概念的加强理解,因为无论GRE数学考试怎样的题目都是从最基本的概念中演变而来的。
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