解:取出三个球,类似一个三位数从000到999一共1000个数。相加等于0的有000;等于1有001,010,100;等于2有002,020,200,011,101,110;等于3有003,030,300,012,021,102,111,120,201,210同理可知等于4有004,040,400,013,031,103,130,301,310,022,202,220,211,112,121;等于5有005,050,500,014,041,023,032,104,140,203,230,302,320,401,410,221,212,122,113,131,311.等于6有006,060,600,015,051,024,042,033,105,150,114,141,411,204,240,213,231,123,132,231,213,222,303,330,402,420,501,510。即1 3 6 10 15 21 28
所以概率为21/250.数列的通项为an=(n²+n)/2
分析可知啊该数列是由两边 向中间靠拢的。例如取出27的概率就是1/1000,26 的概率跟1的概率相同。25的概率和2相同,24的概率跟3相同,23的概率跟4相同,22的概率跟5相同。所以22-27的概率为7/125.
概率为65/1000,你可以分类分别列出来