题目内容
一台机床有![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/2.png)
A.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/3.png)
B.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/4.png)
C.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/5.png)
D.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_ST/6.png)
【答案】分析:加工零件A停机的概率是
,加工零件B停机的概率是(1-
)×
,由此能求出这台机床停机的概率.
解答:解:加工零件A停机的概率是
=
,
加工零件B停机的概率是(1-
)×
=
,
所以这台机床停机的概率是
=
.
故选A.
点评:本题考查相互独立事件的概率乘法公式的应用,解题时要认真审题,仔细解答,注意合理地进行等价转化.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/2.png)
解答:解:加工零件A停机的概率是
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/3.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/4.png)
加工零件B停机的概率是(1-
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/5.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/6.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/7.png)
所以这台机床停机的概率是
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/8.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124521008941203/SYS201310251245210089412006_DA/9.png)
故选A.
点评:本题考查相互独立事件的概率乘法公式的应用,解题时要认真审题,仔细解答,注意合理地进行等价转化.
![](http://thumb.zyjl.cn/images/loading.gif)
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