Seven standard "riffle" shuffles are needed to effectively randomize a 52-card deck.
Seven standard "riffle" shuffles are needed to effectively randomize a 52-card deck.
You’re essentially splitting the deck and recombining the two halves imperfectly multiple times in a row. Like if a riffle was perfect, you would get the cards from both halves equally distributed, but nobody can do it perfectly, so they actually end up properly randomized. After 7 imperfect riffles, the entire deck is unpredictable.
After 4 perfect ABAB riffle shuffles, you would end up with the same order as you started with. If your shuffles are imperfect, your deck becomes more random every time.
I don’t know much about card tricks, just that many appear to use on non-random cuts and those ABAB shuffles to get cards where they need to go. This one ‘The Hotel’ might even be easy enough for me to learn: