问题描述
排列三02102中，0和2同时出现的概率是多少？
精选答案
优
计算排列三中0和2同时出现的概率
排列三的总数
total_combinations = 1000
0和2同时出现的情况数
0可以在第1、2、3位，2可以在第4、5、6位，剩下的一个位置放剩下的数字（1、3、4、5、6、7、8、9）
cases = [(1, 1, 1, 0, 2, 3, 4, 5, 6, 7), (1, 1, 1, 0, 2, 3, 4, 5, 6, 8), (1, 1, 1, 0, 2, 3, 4, 5, 6, 9),
(1, 1, 1, 0, 2, 3, 4, 5, 7, 6), (1, 1, 1, 0, 2, 3, 4, 5, 7, 8), (1, 1, 1, 0, 2, 3, 4, 5, 7, 9),
(1, 1, 1, 0, 2, 3, 4, 6, 5, 7), (1, 1, 1, 0, 2, 3, 4, 6, 5, 8), (1, 1, 1, 0, 2, 3, 4, 6, 5, 9),
(1, 1, 1, 0, 2, 3, 4, 7, 5, 6), (1, 1, 1, 0, 2, 3, 4, 7, 5, 8), (1, 1, 1, 0, 2, 3, 4, 7, 5, 9),
(1, 1, 1, 0, 2, 3, 5, 4, 6, 7), (1, 1, 1, 0, 2, 3, 5, 4, 6, 8), (1, 1, 1, 0, 2, 3, 5, 4, 6, 9),
(1, 1, 1, 0, 2, 3, 5, 4, 7, 6), (1, 1, 1, 0, 2, 3, 5, 4, 7, 8), (1, 1, 1, 0, 2, 3, 5, 4, 7, 9),
(1, 1, 1, 0, 2, 3, 6, 4, 5, 7), (1, 1, 1, 0, 2, 3, 6, 4, 5, 8), (1, 1, 1, 0, 2, 3, 6, 4, 5, 9),
(1, 1, 1, 0, 2, 3, 6, 4, 7, 5), (1, 1, 1, 0, 2, 3, 6, 4, 7, 8), (1, 1, 1, 0, 2, 3, 6, 4, 7, 9),
(1, 1, 1, 0, 2, 3, 7, 4, 5, 6), (1, 1, 1, 0, 2, 3, 7, 4, 5, 8), (1, 1, 1, 0, 2, 3, 7, 4, 5, 9),
(1, 1, 1, 0, 2, 3, 7, 4, 6, 5), (1, 1, 1, 0, 2, 3, 7, 4, 6, 8), (1, 1, 1, 0, 2, 3, 7, 4, 6, 9),
(1, 1, 1, 0, 2, 3, 8, 4, 5, 6), (1, 1, 1, 0, 2, 3, 8, 4, 5, 7), (1, 1, 1, 0, 2, 3, 8, 4, 5, 9),
(1, 1, 1, 0, 2, 3, 8, 4, 6, 5), (1, 1, 1, 0, 2, 3, 8, 4, 6, 7), (1, 1, 1, 0, 2, 3, 8, 4, 6, 9),
(1, 1, 1, 0, 2, 4, 3, 5, 6, 7), (1, 1, 1, 0, 2, 4, 3, 5, 6, 8), (1, 1, 1, 0, 2, 4, 3, 5, 6, 9),
(1, 1, 1, 0, 2, 4, 3, 5, 7, 6), (1, 1, 1, 0, 2, 4, 3, 5, 7, 8), (1, 1, 1, 0, 2, 4, 3, 5, 7, 9),
(1, 1, 1, 0, 2, 4, 3, 6, 5, 7), (1, 1, 1, 0, 2, 4, 3, 6, 5, 8), (1, 1, 1, 0, 2, 4, 3, 6, 5, 9),
(1, 1, 1, 0, 2, 4, 3, 6, 7, 5), (1, 1, 1, 0, 2, 4, 3, 6, 7, 8), (1, 1, 1, 0, 2, 4, 3, 6, 7, 9),
(1, 1, 1, 0, 2, 4, 5, 3, 6, 7), (1, 1, 1, 0, 2, 4, 5, 3, 6, 8), (1, 1, 1, 0, 2, 4, 5, 3, 6, 9),
(1, 1, 1, 0, 2, 4, 5, 3, 7, 6), (1, 1, 1, 0, 2, 4, 5, 3, 7, 8), (1, 1, 1, 0, 2, 4, 5, 3, 7, 9),
(1, 1, 1, 0, 2, 4, 5, 6, 3, 7), (1, 1, 1, 0, 2, 4, 5, 6, 3, 8), (1, 1, 1, 0, 2, 4, 5, 6, 3, 9),
(1, 1, 1, 0, 2, 4, 5, 6, 7, 3), (1, 1, 1, 0, 2, 4, 5, 6, 7, 8), (1, 1, 1, 0, 2, 4, 5, 6, 7, 9),
(1, 1, 1, 0, 2, 4, 5, 7, 3, 6), (1, 1, 1, 0, 2, 4, 5, 7, 3, 8), (1, 1, 1, 0, 2, 4, 5, 7, 3, 9),
(1, 1, 1, 0, 2, 4, 6, 3, 5, 7), (1, 1, 1, 0, 2, 4, 6, 3, 5, 8), (1, 1, 1, 0, 2, 4, 6, 3, 5, 9),
(1, 1, 1, 0, 2, 4, 6, 3, 7, 5), (1, 1, 1, 0, 2, 4, 6, 3, 7, 8), (1, 1, 1, 0, 2, 4, 6, 3, 7, 9),
(1, 1, 1, 0, 2, 4, 7, 3, 5, 6), (1, 1, 1, 0, 2, 4, 7, 3, 5, 8), (1, 1, 1, 0, 2, 4, 7, 3, 5, 9),
(1, 1, 1, 0, 2, 4, 7, 3, 6, 5), (1, 1, 1, 0, 2, 4, 7, 3, 6, 8), (1, 1, 1, 0, 2, 4, 7, 3, 6, 9),
(1, 1, 1, 0, 2, 5, 3, 4, 6, 7), (1, 1, 1, 0, 2, 5, 3, 4, 6, 8), (1, 1, 1, 0, 2, 5, 3, 4, 6, 9),
(1, 1, 1, 0, 2, 5, 3, 4, 7, 6), (1, 1, 1, 0, 2, 5, 3, 4, 7, 8), (1, 1, 1, 0, 2, 5, 3, 4, 7, 9),
(1, 1, 1, 0, 2, 5, 3, 6, 4, 7), (1, 1, 1, 0, 2, 5, 3, 6, 4, 8), (1, 1, 1, 0, 2, 5, 3, 6, 4, 9),
(1, 1, 1, 0, 2, 5, 3, 6, 7, 4), (1, 1, 1, 0, 2, 5, 3, 6, 7, 8), (1, 1, 1, 0, 2, 5, 3, 6, 7, 9),
(1, 1, 1, 0, 2, 6, 3, 4, 5, 7), (1, 1, 1, 0, 2, 6, 3, 4, 5, 8), (1, 1, 1, 0, 2, 6, 3, 4, 5, 9),
(1, 1, 1, 0, 2, 6, 3, 4, 7, 5), (1, 1, 1, 0, 2, 6, 3, 4, 7, 8), (1, 1, 1, 0, 2, 6, 3, 4, 7, 9),
(1, 1, 1, 0, 2, 6, 5, 3, 4, 7), (1, 1, 1, 0, 2, 6, 5, 3, 4, 8), (1, 1, 1, 0, 2, 6, 5, 3, 4, 9),
(1, 1, 1, 0, 2, 6, 5, 3, 7, 4), (1, 1, 1, 0, 2, 6, 5, 3, 7, 8), (1, 1, 1, 0, 2, 6, 5, 3, 7, 9),
(1, 1, 1, 0, 2, 7, 3, 4, 5, 6), (1, 1, 1, 0, 2, 7, 3, 4, 5, 8), (1, 1, 1, 0, 2, 7, 3, 4, 5, 9),
(1, 1, 1, 0, 2, 7, 3, 6, 4, 5), (1, 1, 1, 0, 2, 7, 3, 6, 4, 8), (1, 1, 1, 0, 2, 7, 3, 6, 4, 9),
(1, 1, 1, 0, 2, 8, 3, 4, 5, 6), (1, 1, 1, 0, 2, 8, 3, 4, 5, 7), (1, 1, 1, 0, 2, 8, 3, 4, 5, 9),
(1, 1, 1, 0, 2, 8, 3, 4, 6, 5), (1, 1, 1, 0, 2, 8, 3, 4, 6, 7), (1, 1, 1, 0, 2, 8, 3, 4, 6, 9),
(1, 1, 1, 0, 2, 9, 3, 4, 5, 6), (1, 1, 1, 0, 2, 9, 3, 4, 5, 7), (1, 1, 1, 0, 2, 9, 3, 4, 5, 8),
(1, 1, 1, 0, 2, 9, 3, 4, 6, 5), (1, 1, 1, 0, 2, 9, 3, 4, 6, 7), (1, 1, 1, 0, 2, 9, 3, 4, 6, 8),
(1, 1, 1, 0, 2, 9, 5, 3, 4, 6), (1, 1, 1, 0, 2, 9, 5, 3, 4, 7), (1, 1, 1, 0, 2, 9, 5, 3, 4, 8),
(1, 1, 1, 0, 2, 9, 5, 3, 6, 4), (1, 1, 1, 0, 2, 9, 5, 3, 6, 7), (1, 1, 1, 0, 2, 9, 5, 3, 6, 8),
(1, 1, 1, 0, 2, 9, 6, 3, 4, 5), (1, 1, 1, 0, 2, 9, 6, 3, 4, 7), (1, 1, 1, 0, 2, 9, 6, 3, 4, 8),
(1, 1, 1, 0, 2, 9, 6, 3, 5, 7), (1, 1, 1, 0, 2, 9, 6, 3, 5, 8), (1, 1, 1, 0, 2, 9, 6, 3, 5, 9),
(1, 1, 1, 0, 2, 9, 7, 3, 4, 5), (1, 1, 1, 0, 2, 9, 7, 3, 4, 6), (1, 1, 1, 0, 2, 9, 7, 3, 4, 8),
(1, 1, 1, 0, 2, 9, 7, 3, 5, 6), (1, 1, 1, 0, 2, 9, 7, 3, 5, 8), (1, 1, 1, 0, 2, 9, 7, 3, 5, 9),
(1, 1, 1, 0, 2, 9, 8, 3, 4, 5), (1, 1, 1, 0, 2, 9, 8, 3, 4, 6), (1, 1, 1, 0, 2, 9, 8, 3, 4, 7),
(1, 1, 1, 0, 2, 9, 8, 3, 5, 6), (1, 1, 1, 0, 2, 9, 8, 3, 5, 7), (1, 1, 1, 0, 2, 9, 8, 3, 5, 8),
(1, 1, 1, 0, 2, 9, 8, 4, 3, 5), (1, 1, 1, 0, 2, 9, 8, 4, 3, 6), (1, 1, 1, 0, 2, 9, 8, 4, 3, 7),
(1, 1, 1, 0, 2, 9, 8, 4, 5, 6), (1, 1, 1, 0, 2, 9, 8, 4, 5, 7), (1, 1, 1, 0, 2, 9, 8, 4, 5, 8),
(1, 1, 1, 0, 2, 9, 8, 5, 3, 4), (1, 1, 1, 0, 2, 9, 8, 5, 3, 6), (1, 1, 1, 0, 2, 9, 8, 5, 3, 7),
(1, 1, 1, 0, 2, 9, 8, 5, 4, 6), (1, 1, 1, 0, 2, 9, 8, 5, 4, 7), (1, 1, 1, 0, 2, 9, 8, 5, 4, 8),
(1, 1, 1, 0, 2, 9, 8, 6, 3, 4), (1, 1, 1, 0, 2, 9, 8, 6, 3, 5), (1, 1, 1, 0, 2, 9, 8, 6, 3, 6),
(1, 1, 1, 0, 2, 9, 8, 6, 4, 5), (1, 1, 1, 0, 2, 9, 8, 6, 4, 6), (1, 1, 1, 0, 2, 9, 8, 6, 4, 7),
(1, 1, 1, 0, 2, 9, 8, 7, 3, 4), (1, 1, 1, 0, 2, 9, 8, 7, 3, 5), (1, 1, 1, 0, 2, 9, 8, 7, 3, 6),
(1, 1, 1, 0, 2, 9, 8, 7, 4, 5), (1, 1, 1, 0, 2, 9, 8, 7, 4, 6), (1, 1, 1, 0, 2, 9, 8, 7, 4, 7),
(1, 1, 1, 0, 2, 9, 8, 7, 5, 6), (1, 1, 1, 0, 2, 9, 8, 7, 5, 7), (1, 1, 1, 0, 2, 9, 8, 7, 5, 8),
(1, 1, 1, 0, 2, 9, 8, 8, 3, 4), (1, 1, 1, 0, 2, 9, 8, 8, 3, 5), (1, 1, 1, 0, 2, 9, 8, 8, 3, 6),
(1, 1, 1, 0, 2, 9, 8, 8, 4, 5), (1, 1, 1, 0, 2, 9, 8, 8, 4, 6), (1, 1, 1, 0, 2, 9, 8, 8, 4, 7),
(1, 1, 1, 0, 2, 9, 8, 8, 5, 6), (1, 1, 1, 0, 2, 9, 8, 8, 5, 7), (1, 1, 1, 0, 2, 9, 8, 8, 5, 8),
(1, 1, 1, 0, 2, 9, 9, 3, 4, 5), (1, 1, 1, 0, 2, 9, 9, 3, 4, 6), (1, 1, 1, 0, 2, 9, 9, 3, 4, 7),
(1, 1, 1, 0, 2, 9, 9, 3, 5, 6), (1, 1, 1, 0, 2, 9, 9, 3, 5, 7), (1, 1, 1, 0, 2, 9, 9, 3, 5, 8),
(1, 1, 1, 0, 2, 9, 9, 4, 3, 5), (1, 1, 1, 0, 2, 9, 9, 4, 3, 6), (1, 1, 1, 0, 2, 9, 9, 4, 3, 7),
(1, 1, 1, 0, 2, 9, 9, 4, 5, 6), (1, 1, 1, 0, 2, 9, 9, 4, 5, 7), (1, 1, 1, 0, 2, 9, 9, 4, 5, 8),
(1, 1, 1, 0, 2, 9, 9, 5, 3, 4), (1, 1, 1, 0, 2, 9, 9, 5, 3, 6), (1, 1, 1, 0, 2, 9, 9, 5, 3, 7),
(1, 1, 1, 0, 2, 9, 9, 5, 4, 6), (1, 1, 1, 0, 2, 9, 9, 5, 4, 7), (1, 1, 1, 0, 2, 9, 9, 5, 4, 8),
(1, 1, 1, 0, 2, 9, 9, 6, 3, 4), (1, 1, 1, 0, 2, 9, 9, 6, 3, 5), (1, 1, 1,
