1 . 某大学生将参加知识竞赛,答题环节有6道题目,每答对一道题得3分,答错一题扣1分,已知该学生每道题目答对的概率是
,且各题目答对正确与否相互独立,
表示该生得分,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
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解题方法
2 . 已知离散型随机变量的概率分布如下表,则其数学期望
__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2cc3e48490e9c7844595278317c736.png)
P |
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3 . 设随机变量
服从二项分布
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73fc8a4163d94be65fbe933bf8edda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5127d08c830f1a7d683687ada2a13df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2024高三·全国·专题练习
4 . 甲乙丙三个盒子中装有一定数量的黑球和白球,其总数之比为
.这三个盒子中黑球占总数的比例分别为
.现从三个盒子中各取一个球,取到的三个球都是黑球的概率为_________ ;将三个盒子混合后任取一个球,是白球的概率为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0382da2be7bd5e9522344d7357564e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed358a9867f01b1bcd5b1d8020abf90b.png)
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5 . 如图是一块高尔顿板示意图:在一块木板上钉着若干排互相平行但相互错开的圆柱形小木钉,小木钉之间留有适当的空隙作为通道,前面挡有一块玻璃,将小球从顶端放入,小球在下落过程中,每次碰到小木钉后都等可能地向左或向右落下,最后落入底部的格子中,格子从左到右分别编号为1,2,3,……,6,用X表示小球落入格子的号码,则下面结论中正确的序号是__________ .
;②
;
③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b196300456a3e6c368af80ae346814d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335951ad44c0be337306012ad9808b94.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45cdfb90712c6e2f3a26f9eb5eb3e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2abddc4afefa145459ace6bc8598ec.png)
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7日内更新
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436次组卷
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6卷引用:河南省郑州市第二高级中学2022-2023学年高二下学期5月月考数学试题
解题方法
6 . 拋掷两颗质地均匀的骰子,其中白色骰子与黑色骰子各一颗,记事件
为“白色骰子的点数为
或
”,事件
为“两颗骰子点数之和大于
”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec76ffd1e94c9023c2241dbd12df8b5.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8836099afaebdb8323cc444c8314f546.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec76ffd1e94c9023c2241dbd12df8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8836099afaebdb8323cc444c8314f546.png)
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解题方法
7 . 某大型企业准备把某一型号的零件交给甲工厂或乙工厂生产.经过调研和试生产,质检人员抽样发现:甲工厂试生产的一批零件的合格品率为94%;乙工厂试生产的另一批零件的合格品率为98%;若将这两批零件混合放在一起,则合格品率为97%.从混合放在一起的零件中随机抽取3个,用频率估计概率,记这3个零件中来自甲工厂的个数为X,则X的数学期望为______ .
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8 . 设
、
为两个随机事件,给出以下命题:
(1)若
、
为互斥事件,且
,
,则
;
(2)若
,
,
,则
、
为相互独立事件;
(3)若
,
,
,则
、
为相互独立事件;
(4)若
,
,
,则
、
为互斥事件;
其中正确命题的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e7b8749698633cd49782301cfc2f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d344fc34d910f3965df31da4d4b7d408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677ac228b16598815a42812dbdf822ec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7161327cdbe387412cb84d53ff9d681e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672d7bc529ccc16996c8c73a47f260d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aed1c8c2d3c89f9be006e0f73b7a54c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7161327cdbe387412cb84d53ff9d681e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672d7bc529ccc16996c8c73a47f260d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd7a30952e451b004efdd97c216940e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee035c6c34eef4268a150dab13117e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745870b7a13e889f50ad2ae9a8aa4649.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7161327cdbe387412cb84d53ff9d681e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672d7bc529ccc16996c8c73a47f260d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d529ce919792f99e3792bb39f3c7dd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
其中正确命题的个数为
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9 . 已知
,
是相互独立事件,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ba417c2ae79ca0891af96ec16113dc.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3f14d85280adb23fdab2b16efce4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfee67a3a56c9b36178ad7dddb5e8363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ba417c2ae79ca0891af96ec16113dc.png)
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10 . 在孟德尔豌豆试验中,子二代的基因型为
、
、
,其中
为显性基因,
为隐性基因,且这三种基因型的比为
.如果在子二代中任意选取
颗豌豆作为父本杂交,那么子三代中基因型为
的概率是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e52a86375cb12c4649827b5b3bbbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3665eff8bc56d588b3aa60733bca60e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fea05eca12bfaa6cf5b4a083e0f36ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea353ff2279e5018efb134144a583c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fea05eca12bfaa6cf5b4a083e0f36ba.png)
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2024-06-09更新
|
263次组卷
|
6卷引用:广东省东莞市第四高级中学2023届高三三模数学试题
广东省东莞市第四高级中学2023届高三三模数学试题(已下线)考点巩固卷24 古典概型、相互独立、条件概率及全概率公式(七大考点)(已下线)第06讲 事件的相互独立性、条件概率与全概率公式(练习)四川省仁寿第一中学校南校区2023-2024学年高二下学期4月阶段性检测数学试题(已下线)模块三 失分陷阱3 跨学科渗透题不会提取关键信息(已下线)【讲】专题九 概率中数学文化问题(压轴大全)