[stoperaticless]

> Sort of like if you have an infinite number of coin flips then at some place and time you'll land on heads a million times in a row, no matter how unlikely.

If random event result is any real (i.e. not limited integers and fractions) number from interval 0-1, then no number will appear twice even after infinite number of throws.

Open question surely follows: Time and space, are they integer or real?

[quantadev]

That's kind of like asking if spacetime is quantized or not. We have bits of evidence in both directions. For example, the entropy of a 2D (conventional) Event Horizon, is identical to the number of planc-length (square) units of area on the EH sphere, and so that's a definitely quantity/number, for any given Black Hole mass. You could interpret that as saying the EH is broken up into "pixels" sort of, which a kind of quantized view of spacetime if our universe is indeed a big Event Horizon.

[GoblinSlayer]

Due to Bekenstein bound for any given energy there's maximum entropy or maximum number of microstates, so the same microstate can repeat.