将一枚质地均匀的骰子先后掷两次,第一次掷得的点数为x,第二次掷得的点数为y,记点M的坐标为(x,y)
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)共有36种情况;
其中sinxcosy>0的事件共有:
(1,1),(1,5),(1,6),(2,1),(2,5),(2,6)
(3,1),(3,5),(3,6),(4,2),(4,3),(4,4)
(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)共18种情况:
故点M满足sinxcosy>0的概率P=
18
36 =
1
2
故答案为:
1
2