in other words, i believe it is less likely for 1 out of 4 to occur 3 times in a row than it is for 1 out of 10 to occur once. i lack the math to prove this, but i strongly believe it to be so.
You appear to be right btw: ```python from random import randint from collections import defaultdict sides = 4 dice = 3 n_tests = int(1e6) single_dies = defaultdict(int) multiple_dies = defaultdict(int) for _ in range(n_tests): total = sum(randint(1, sides) for _ in range(dice)) multiple_dies[total] += 1 single = randint(dice, dice * sides) single_dies[single] += 1 print(multiple_dies) print(single_dies) ``` ``` defaultdict(, {9: 156125, 7: 187319, 4: 46787, 6: 156371, 3: 15559, 8: 188277, 10: 93028, 5: 94057, 11: 46933, 12: 15544},) defaultdict(, {5: 99456, 8: 99862, 7: 100037, 11: 100061, 3: 100294, 12: 100081, 10: 100113, 9: 100313, 6: 100212, 4: 99571},) ```