题目内容
、连续抛两枚骰子分别得到的点数是a,b,则向量与向量垂直的概率是( )
A. | B. | C. | D. |
B
解:因为解:连续抛两枚骰子分别得到的点数是a,b的情形共有36种:
(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),
而向量(a,b)与向量(1,-1)垂直,只需满足a=b,共有6种情况:
(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).因此概率值为选B
(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),
而向量(a,b)与向量(1,-1)垂直,只需满足a=b,共有6种情况:
(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).因此概率值为选B
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