If 6-sided dice behaved like quantum particles (for example, an electron):

How would you calculate the odds that a roll (of the dice) would produce a 1 and another 1? You would determine all the different outcomes of a roll. In the "normal" world, the number is 36.

That's because if dice #1 is a 2 (or d1=2) and dice #2 is a 3 (or d2=3), then when d1=3 and d2=2, you are getting a different and separate physical outcome.

Both of of these things are two events that can happen in reality at different times:

Event A > d1=2 and d2=3
Or dice roll A

Event B > d1=3 and d2=2
Or dice roll B

But if the dice were identical quantum particles, like two electrons, we would get the wrong statistical predictions if we assume that roll A and roll B were distinct events and physical states.

That is, in the Quantum World of "electron" dice, both rolls are the same state. That is what Physicists mean when they say that fundamental particles are not only identical but indistinguishable.

How can one wrap one's head around this?
(FYI: Electron's do not follow "dice" statistics, but instead Fermi-Dirac statistics.)