问题
填空题
抛掷一红、一蓝两颗骰子各一次,则点数之和小于7的概率是______.
答案
分别记两个骰子点数为(x,y)
则抛掷一红、一蓝两颗骰子各一次,则共有
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),共36种
其中点数之和小于7的基本事件有:
(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),
(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),
(4,1),(4,2),(5,1),共15种
故点数之和小于7的概率P=
=15 36 5 12
故答案为:5 12