配套习题- 用列举法求概率（2） -【青果学院】

1/5单选题

难度：

1.学校组织春游，安排九年级三辆车，小明和小慧都可以从这三辆车中任选一辆搭乘，小明和小慧同车的概率是（　　）

A
B
C
D

正确答案：Qg==

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

2/5单选题

难度：

2.将正面分别标有数字1，2，3，背面花色相同的三张卡片洗匀后，背面朝上放在桌面上．随机抽取一张作为个位上的数字（不放回），再抽取一张作为十位上的数字，两张卡片组成的数恰好为“12”的概率是（　　）

A
B
C
D

正确答案：Qw==

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

3/5单选题

难度：

3.如图所示的两个转盘分别被均匀地分成3个和4个扇形如图所示的两个转盘分别被均匀地分成3个和4个扇形，每个扇形上都标有一个实数．同时自由转动两个转盘，转盘停止后（若指针指在分格线上，则重转），两个指针都落在无理数上的概率是（　　）

A
B
C
D

正确答案：Qw==

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

4/5单选题

难度：

4.小玲与小丽两人各掷一个正方体骰子，规定两人掷的点数和为偶数，则小玲胜；点数和为奇数，则小丽胜，下列说法正确的是（　　）

A	此规则有利于小玲
B	此规则有利于小丽
C	此规则对两人是公平的
D	无法判断

正确答案：Qw==

6Kej77ya5oqb5o635Lik5p6a5Z2H5YyA55qE5q2j5pa55L2T6aqw5a2Q77yM5o635b6X54K55pWw5LmL5ZKM5Li65YG25pWw55qE5qaC546H5pivPGltZyB3aWR0aD03IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzgyLzIyL3JCQUNKMVYwLVJqaWxJa25BQUFCSkh2OVRiQTU1NS5wbmciPu+8jOeCueaVsOS5i+WSjOS4uuWlh+aVsOeahOamgueOh+aYrzxpbWcgd2lkdGg9NyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC84Mi8yMi9yQkFDSjFWMC1SamlsSWtuQUFBQkpIdjlUYkE1NTUucG5nIj7vvIzmiYDku6Xop4TliJnlr7nkuKTkurrmmK/lhazlubPnmoTvvIw8YnI+5pWF6YCJQ++8jg==

5/5单选题

难度：

5.如图是两个完全相同的转盘，每个转盘被分成了面积相等的四个区域，每个区域内分别填上数字“1”“2”“3”“4”．甲、乙两学生玩转盘游戏，规则如下：固定指针，同时转动两个转盘，任其自由转动，当转盘停止时，若两指针所指数字的积为奇数，则甲获胜；若两指针所指数字的积为偶数，则乙获胜．那么在该游戏中乙获胜的概率是（　　）

A
B
C
D

正确答案：QQ==

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