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The Incomprehensible Scale of 52!

submitted by StukaFox
2 years 7 months 3 weeks ago

52! is a big number.

1 Comment

spawnflagger

says...

This was an excellent treatise on visualization of large numbers.

That said, I disagree with the statement "the sequence of cards in a properly shuffled deck has never existed in the history of time". It would be true if the act of shuffling was truly random, but it's not.
This article says you'd need at least 7 riffle shuffles to get "random", but in practice "properly" shuffling is 3 or 4 riffle shuffles...
https://phys.org/news/2017-02-shuffle-cards-maths.html

Hence thus therefore, my unprovable bet is that there has been at least 1 occurrence of identical-sequence decks in the history of 52 playing card decks.

(this is not counting magicians & card mechanics like Ricky Jay)