Thanks Hank Green.
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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.