擲2個6面骰子，共有以下36種等可能的情形，每1種情形出現的機率都是1/36： {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}. 它們的點數之和分別是： 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9,10, 6, 7, 8, 9,10,11, 7, 8, 9,10,11,12. 從小到大排序後是： 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10,10,10, 11,11, 12. 它們出現的機率(也就是擲2個6面骰子，總和為以下點數的機率)分別是： 2: 1/36, 3: 2/36, 4: 3/36, 5: 4/36, 6: 5/36, 7: 6/36, 8: 5/36, 9: 4/36, 10: 3/36, 11: 2/36, 12: 1/36. 擲2個6面骰子兩次，兩次總和同為以下點數的機率是： 2: (1/36)^2= 1/1296, 3: (2/36)^2= 4/1296, 4: (3/36)^2= 9/1296, 5: (4/36)^2=16/1296, 6: (5/36)^2=25/1296, 7: (6/36)^2=36/1296, 8: (5/36)^2=25/1296, 9: (4/36)^2=16/1296, 10: (3/36)^2= 9/1296, 11: (2/36)^2= 4/1296, 12: (1/36)^2= 1/1296. 所以，擲2個6面骰子兩次，兩次總和相同的機率就是以上數值相加： 146/1296=73/648。
擲2個6面骰子，共有以下36種等可能的情形，每1種情形出現的機率都是1/36： {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}. 它們的點數之和分別是： 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9,10, 6, 7, 8, 9,10,11, 7, 8, 9,10,11,12. 從小到大排序後是： 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10,10,10, 11,11, 12. 它們出現的機率(也就是擲2個6面骰子，總和為以下點數的機率)分別是： 2: 1/36, 3: 2/36, 4: 3/36, 5: 4/36, 6: 5/36, 7: 6/36, 8: 5/36, 9: 4/36, 10: 3/36, 11: 2/36, 12: 1/36. 擲2個6面骰子兩次，兩次總和同為以下點數的機率是： 2: (1/36)^2= 1/1296, 3: (2/36)^2= 4/1296, 4: (3/36)^2= 9/1296, 5: (4/36)^2=16/1296, 6: (5/36)^2=25/1296, 7: (6/36)^2=36/1296, 8: (5/36)^2=25/1296, 9: (4/36)^2=16/1296, 10: (3/36)^2= 9/1296, 11: (2/36)^2= 4/1296, 12: (1/36)^2= 1/1296. 所以，擲2個6面骰子兩次，兩次總和相同的機率就是以上數值相加： 146/1296=73/648。