抛掷两颗骰子,得到向上的点数分别为m和n,代表的点(m,n)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种情况, 其中点(m,n)落在圆x2+y2=16外部的基本事件个数有: (1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(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28种情况, 故点(m,n)落在圆x2+y2=16外部的概率P== 故选D |