高一暑假作业概率课课练二(含答案)

一：填空题

1、一个盒子里装有完全相同的十个小球，分别标上1,2,3，…，10这10个数字，

今随机地先后取出两个小球，若取出不放回，求两个小球上的数字是相邻整数的概率__________

2、在半径为１的圆内任取一点，以该点为中点作弦，则其长度超过该圆内接正

三角形的边长的概率是_________

3、一年按365天计算，两名学生的生日相同的概率为__________

4、在1L高产小麦种子中混入了一粒带锈病的种子，从中随机取出10ml，含有

小麦锈病种子的概率是_____________

5、设A为圆周上一定点，在圆周上等可能地任取一点P与A连结，则弦长超过

半径的概率为____________

6、一枚质量均匀的四面体型的骰子，其四个面上分别有数字2，3，4，5.若连续

投掷三次，取三次面向下的数字分别作为三角形的边长，则其能构成直角三角形的概率为____________

二：解答题

7、为积极配合深圳2011年第26届世界大运会志愿者招募工作，某大学数学学院拟成立由4名同学组成的志愿者招募宣传队，经过初步选定，2名男同学，4名女同学共6名同学成为候选人，每位候选人当选宣传队队员的机会是相同的．

(1)求当选的4名同学中恰有1名男同学的概率；

(2)求当选的4名同学中至少有3名女同学的概率．

一：填空题

7、一个盒子里装有完全相同的十个小球，分别标上1,2,3，…，10这10个数字，

今随机地先后取出两个小球，若取出不放回，求两个小球上的数字是相邻整数的概率____1/5______

8、在半径为１的圆内任取一点，以该点为中点作弦，则其长度超过该圆内接正

三角形的边长的概率是____1/4______

9、一年按365天计算，两名学生的生日相同的概率为____1/365______

10、在1L高产小麦种子中混入了一粒带锈病的种子，从中随机取出10ml，

含有小麦锈病种子的概率是____1/10_________

11、设A为圆周上一定点，在圆周上等可能地任取一点P与A连结，则弦长

超过半径的概率为____1/3________

12、一枚质量均匀的四面体型的骰子，其四个面上分别有数字2，3，4，5.

若连续投掷三次，取三次面向下的数字分别作为三角形的边长，则其能构成直角三角形的概率为____3/32________

二：解答题

7、为积极配合深圳2011年第26届世界大运会志愿者招募工作，某大学数学学院拟成立由4名同学组成的志愿者招募宣传队，经过初步选定，2名男同学，4名女同学共6名同学成为候选人，每位候选人当选宣传队队员的机会是相同的．

(1)求当选的4名同学中恰有1名男同学的概率；8/15

(2)求当选的4名同学中至少有3名女同学的概率．3/5

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