古典概型与几何概型.古典概型.pdf

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1、1 古典概型与几何概型.古典概型版块一：古典概型1古典概型：如果一个试验有以下两个特征：有限性：一次试验出现的结果只有有限个，即只有有限个不同的基本事件；等可能性：每个基本事件发生的可能性是均等的称这样的试验为古典概型2概率的古典定义：随机事件A的概率定义为()P AA事件包含的基本事件数试验的基本事件总数版块二：几何概型几何概型事件A理解为区域的某一子区域A，A的概率只与子区域A的几何度量（长度、面积或体积）成正比，而与A的位置和形状无关，满足此条件的试验称为几何概型几何概型中，事件A的概率定义为()AP A，其中表示区域的几何度量，A表示区域A的几何度量题型一 基础题型【例 1】在第1 3

2、 68 16，路公共汽车都要依靠的一个站（假设这个站只能停靠一辆汽车），有一位乘客等候第6路或第16路汽车假定当时各路汽车首先到站的可能性都是相等，则首先到站正好是这位乘客所需求的汽车的概率等于 _ 【例 2】（2010崇文一模）从52张扑克牌（没有大小王）中随机的抽一张牌，这张牌是J或Q或K的概率为 _【例 3】（2010 上海卷高考）从一副混合后的扑克牌（52张）中随机抽取1张，事件 A为“抽得红桃K”，事件 B 为“抽得为黑桃”，则概率()P AB（结果用最简分数表示）2【例 4】（2010 湖北高考）投掷一枚均匀硬币和一枚均匀骰子各一次，记“硬币正面向上”为事件A，“骰于向上的点数是3

3、”为事件B，则事件A，B中至少有一件发生的概率是 A 512 B12 C712 D34【例 5】甲、乙、丙三人随意坐下一排座位，乙正好坐中间的概率为（）A12B13C 14D 16【例 6】甲、乙、丙三人在3天节日中值班，每人值班1天，则甲紧接着排在乙后面值班的概率是（）A16 B14 C13 D12【例 7】今后三天每一天下雨的概率都为50%，这三天恰有两天下雨的概率为多少？【例 8】某学生做两道选择题，已知每道题均有4个选项，其中有且只有一个正确 答 案，该 学生 随 意 填 写 两 个 答 案，则 两 个 答案 都 选 错 的 概 率为【例 9】现有8名奥运会志愿者，其中志愿者123,A

4、AA通晓日语，123,BBB通晓俄语，12,CC通晓韩语从中选出通晓日语、俄语和韩语的志愿者各1名，组成一个小组求1A被选中的概率；求1B和1C全被选中的概率文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4

5、S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1

6、 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9

7、D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2

8、 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6

9、I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X

10、2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X23【例 1

11、0】（2009 江西 10）甲、乙、丙、丁4个足球队参加比赛，假设每场比赛各队取胜的概率相等，现任意将这4个队分成两个组（每组两个队）进行比赛，胜者再赛，则甲、乙相遇的概率为（）A16 B14 C13 D12【例 11】一个各面都涂有色彩的正方体，被锯成1000个同样大小的小正方体，将这些正方体混合后，从中任取一个小正方体，求：有一面涂有色彩的概率；有两面涂有色彩的概率；有三面涂有色彩的概率题型二 中档题的常见载体模型扔骰子硬币【例 12】将一枚硬币连续投掷三次，连续三次都得正面朝上的概率是多少？【例 13】将一枚硬币连续投掷三次，恰有两次正面朝上的概率是多少？文档编码:CZ10A4S7H6D

12、1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T

13、9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P

14、2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N

15、6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1

16、X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码

17、:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A

18、4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X24【例 14】先 后 抛掷 两颗 骰 子，设 出现 的点 数 之 和是1211 1 0，的概 率依 次 是123PPP，则（）A123PPPB123PPPC123PPPD 123PPP【例 15】（0

19、8 江苏）若将一颗质地均匀的骰子先后抛掷2次，则出现向上的点数之和为4的概率为【例 16】（05广东）先后抛掷两枚均匀的正方体骰子（它们的六个面分别标有点数1 2 34 5 6，），骰子朝上的面的点数分别为XY，则2log1XY的概率为（）A16B536C112D12【例 17】若以连续掷两次骰子分别得到的点数m，n作为点P的坐标，则点P落在圆2216xy内的概率是文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD

20、3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10

21、Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档

22、编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ1

23、0A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H

24、6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW

25、4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N

26、2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X25【例 18】同时抛掷两枚骰子，求得到的两个点数成两倍关系的概率；求点数之和为8的概率；求至少出现一个5点或6点的概率【例 19】某中学高一年级有12个班，要从中选两个班代表学校参加某项活动，由于某种原因，一班必须参加，另外再从二到十二班中选一个班有人提议用如下的方法：掷两个骰子得到的点数和是几，就选几班，你认为这种方法公平吗？并说明理由摸球【例 20】（2009 重庆 6）锅中煮有芝麻馅汤圆6个

27、，花生馅汤圆5个，豆沙馅汤圆4个，这三种汤圆的外部特征完全相同从中任意舀取4个汤圆，则每种汤圆都至少取到1个的概率为（）A891 B2591C 4891D 6091文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ1

28、0A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H

29、6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW

30、4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N

31、2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD

32、3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10

33、Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X26【

34、例 21】口袋内装有大小相同的5只球，其中3只白球，2只黑球，从中一次摸出两个球，写出基本事件空间，并求共有多少个基本事件？摸出来的两只球都是白球的概率是多少？摸出来的两只球颜色不同的概率为多少？【例 22】（2010朝阳一模）袋子中装有编号为,a b的 2 个黑球和编号为,c d e的 3 个红球，从中任意摸出 2 个球写出所有不同的结果；求恰好摸出 1 个黑球和 1 个红球的概率；求至少摸出 1 个黑球的概率文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ1

35、0A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H

36、6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW

37、4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N

38、2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD

39、3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10

40、Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档

41、编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X27【例 23】盒中有 6 只灯泡，其中有2 只是次品，4 只是正品从中任取2 只，试求下列事件的概率取到的 2只都是次品；取到的2 只中恰有一只次品【例 24】有4个红球，3个黄球，3个白球装在袋中，小球的形状、大小相同，从中任取两个小球，求取出两个同色球的概率是多少？【例 25】袋中装有红、黄、白3种颜色的球各1只，从中每次任取1只，有放回地抽取3

42、次，求：3只全是红球的概率，3只颜色全相同的概率，3只颜色不全相同的概率，3只颜色全不相同的概率【例 26】袋里装有 30个球，每个球上都记有1 到 30 的一个号码，设号码为n的球的重量为244433nn（克）这些球以等可能性（不受重量，号码的影响）从袋里取出 如果任意取出 1 球，求其号码是3 的倍数的概率 如果任意取出 1 球，求重量不大于号其码的概率；如果同时任意取出2 球，试求它们重量相同的概率文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S

43、7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1

44、HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D

45、2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2

46、ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I

47、10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2

48、文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:C

49、Z10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X28【例 27】在 10 个球中有 6 个红球，4 个白球（各不相同），不放回的依次摸出2个球，在第 1 次摸出红球的条件下，第 2 次也摸出红球的概率是（）A35B23C59D13【例 28】一个袋子中装有m个红球和n个白球（4mn），它们除颜色不同外，其余都相同，现从中任取两个球若取出两个红球的概率等于取出一红一白两个球的概率的整数倍，求证：m必为奇数；若

50、取出两个球颜色相同的概率等于取出两个球颜色不同的概率，求满足20mn的所有数组()mn，文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码:CZ10A4S7H6D1 HW4T9D2N2P2 ZD3N6I10Y1X2文档编码