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The number of possible combinations of cards in a standard 52 card pack is so large that there is very little chance that any two packs of shuffled cards that have ever existed have ever been in the same order.
52 factorial is a larger number than the number of atoms in the observable universe.
Chess positions are like that too, after any "main line" it quickly becomes a never played game...
Correct me if I'm wrong, but it seems more realistic to say:
- Playing the same game twice is unlikely because of the number of possible games, OR
- It's possible the same game has never been played twice, OR
- After a certain number of moves, it's very possible to create a never-played game
I'm certain I've played the same game multiple times, because I suck at chess and I fall into the same obvious traps over and over.
You were in a main-line then.
And what you states is matematics/statistics, but if you take that ar face value, you could just win the lottery 10000 times in a row too.
52 factorial is a larger number than the number of atoms in the observable universe.
Not true, 52! ≈ 8x10^67 < 10^80.
If you divided the universe's mass into 52! parts, each part would contain ~1x10^13 atoms. Which, as far as solids go, is not visible to the naked eye. Which is still quite mental..
I bet there are certain shuffled combinations that repeat. like, take a new deck, divide perfectly in half, do one perfect riffle. that has probably happened more than once.