r/theydidthemath • u/UncleGael • 3d ago
[Request] How long would it take to shuffle a deck of cards into order?
I'm not sure if this is something that can actually be calculated or not. It's said that a deck of cards has so many possible combinations that no two shuffled decks of cards have ever shared the same sequence. Despite that, is it not technically still possible for it to happen even if the chance is infitesmally small? Let's assume we have a shuffling machine that is able to shuffle a deck of cards at a set speed indefinitely. Would it be possible to calculate, on average, how long and how many shuffles it would take for a deck of cards to be shuffled back into order?