this post was submitted on 29 Jan 2024
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Holy hell
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By an extremely significant margin. Here's another fun one: getting a unique shuffle in a deck of cards is 1/52!. So if you wanted to count all of the different possible arrangements of cards, counting one per second, you can:
Start walking around the equator at a leisurely pace of one step per billion years.
Once you've made it around the earth, remove a single drop of water from the Pacific Ocean and walk around the earth again.
Once the Pacific Ocean is empty, re-fill it and lay a sheet of paper on the ground. Keep stacking a new sheet every time you've re-emptied the ocean drop by drop every time you circle the earth at one step every billion years.
When the stack of paper reaches the sun, you're about a third of the way there!
The way I like to put it is that every single time you randomly shuffle a deck of cards, you are guaranteed to get an order that has never been seen before, by anyone in history. That will be the case for every person who ever shuffles a deck of cards for the rest of time.
To be fair there was that one time a perfect shuffle led to a perfect bridge deal, each player getting a full suit. Sometimes even a fair shuffle goes weird lol.