题目
题型:不详难度:来源:
在某种考试中,设A、B、C三人考中的概率分别是
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101758-63593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-29005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-58303.gif)
(1)求3人都考中的概率;
(2)求只有2人考中的概率;
(3)几人考中的事件最容易发生?
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-63619.gif)
(2)只有2人考中的概率是
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-73177.gif)
(3)1人考中的事件最容易发生。
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101758-63593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-29005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-58303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-63619.gif)
(2)只有2人考中的概率P=
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-15806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-29005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-58303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101758-63593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101800-18861.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-58303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101758-63593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-29005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101800-64748.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-73177.gif)
(3)3人都未考中的概率是
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-15806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101800-18861.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101800-64748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-63619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-63619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-73177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101759-63619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101800-18888.gif)
核心考点
试题【(本小题满分12分)在某种考试中,设A、B、C三人考中的概率分别是、、,且各自考中的事件是相互独立的。(1)求3人都考中的概率;(2)求只有2人考中的概率;(3】;主要考察你对条件概率等知识点的理解。[详细]
举一反三
(1)求从A、B、C三个研究所中分别抽取的人数;
(2)调查结束后,若从抽取的7名科研人员中再随机抽取2名进行总结报告,求这2名科研人员中没有A研究所人员的概率。
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101746-95483.gif)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101746-10413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101746-60551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101746-44475.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101747-22456.gif)