What is more probable? Six $6$-sided dice landing in combinations I am having trouble with compound probability. What is more probable, six $6$-sided dice landing in the combination of $111111$ or the same amount of $6$-sided dice landing in the combination of $532416$? Intuitively, I think that compound probability should take place here, but it also seems that considering the order, these combinations of dice are single units that each have equal chance to happen after a dice throw. Thank you, M.

They have the same probability. Fix any sequence $a_1,a_2,a_3,a_4,a_5,a_6$ of $6$ possible outcomes of a die cast, and the probability of getting that sequence will be $\frac1{6^6}$.