amantonas said:Is it statistically probable that a properly shuffled deck of cards will be in an order that has never before existed amongst other decks?
Please explain!
A standard deck of 52 cards can be shuffled in 8.0658 x 10^67 different ways.
No, it is virtually impossible to shuffle a deck of cards perfectly. Even with advanced shuffling techniques, there will always be some degree of predictability in the order of the cards.
The most common shuffling method used is the riffle shuffle, where the deck is split into two equal halves and the cards are interleaved together.
A deck of cards should be shuffled at least 7 times to achieve a truly random order. However, the more times it is shuffled, the more randomized the order becomes.
Technically, yes, but the chances are extremely slim. The number of possible card orders is so large that it is highly unlikely for a deck to be shuffled into the exact same order twice. It would require a perfect repetition of every shuffle and cut.