Any Particular Shuffle of a Deck of Cards is Statistically Unlikely to Have Ever Existed Before

And that's only one business. Cards are undoubtedly the most widely used gaming accessory in the world. There are thousands of various card games that one can play, and they date back to the 1300s in Europe. One of the most remarkable things about a deck of cards is not what they can accomplish but what they cannot do, given all the cards and games available. Additionally, they cannot ever be shuffled in the same way twice, according to statistics.

But it's not impossible, it is mathematically implausible that the deck you wind up with in your hands after shuffling has ever existed in the 700-year history of playing cards (though it's impossible to know one way or the other). During the shuffling process, there are 52 factorial ways to arrange a deck of playing cards. This indicates that there are 52 possible cards that could be on top of that deck after shuffling.

When you turn it over, there are now 51 cards that could be the second card, and so on. Each of the first 52 cards might also be the first of the next 51, and so on. The entire number of possible arrangements comes to the following figure, which you probably don't want to try to name: 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000. It is an 8 with 67 zeros after it, to put it simply. It's a sizable sum. We would never be able to shuffle all the possible permutations of cards, even if everyone who has ever lived spent their whole lives shuffling cards.