Can you shuffle a deck of cards the same twice?

The chances that anyone has ever shuffled a pack of cards (fairly) in the same way twice in the history of the world, or ever will again, are infinitesimally small. The number of possible ways to order a pack of 52 cards

52 cards

A standard 52-card French-suited deck comprises 13 ranks in each of the four suits: clubs (♣), diamonds ( ♦ ), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.

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Standard 52-card deck - Wikipedia

is '52! ' (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1.

How many times can you shuffle a deck of cards?

No one has or likely ever will hold the exact same arrangement of 52 cards as you did during that game. It seems unbelievable, but there are somewhere in the range of 8x10⁶⁷ ways to sort a deck of cards. That's an 8 followed by 67 zeros.

What are the odds of shuffling a deck of cards in the same order?

If you truly randomise the deck, the chances of the cards ending up in perfect order - spades, then hearts, diamonds and clubs - are around 1 in 10 to the power 68 (or 1 followed by 68 zeros). That's a huge number, roughly equal to the number of atoms in our galaxy.

Can you shuffle cards too many times?

There's no such thing as "over-shuffling" the cards. Either you haven't shuffled enough for a fair game, or you have. Shuffling only two or three times produces less-than-random hands.

Can cards be overshuffled?

(2) After each stack of cards is dealt, the dealer must reshuffle the cards so that they are randomly intermixed. A reshuffle of the cards must take place at the conclusion of the hand during which the cutting card is reached. In lieu of this procedure, the dealer may use an approved shuffling shoe.

Combinations of 52 cards (52 factorial)

Does shuffling damage cards?

Below is an example of riffle shuffling. It is the most common form of shuffling, but can also be the most damaging as it will bend your cards, effecting not only their lifecycle, but potentially making it easier to identify specific cards by how warped they are. Riffle shuffling damaging playing cards.

What happens if you shuffle a deck of cards 8 times?

Diaconis showed several years ago that if a person actually does perfect shuffles, the cards would never be thoroughly mixed. He derived a mathematical proof showing that if a deck is perfectly shuffled eight times, the cards will be in the same order as they were before the shuffling.

What happens if you shuffle a deck of cards 7 times?

In 1992, Bayer and Diaconis showed that after seven random riffle shuffles of a deck of 52 cards, every configuration is nearly equally likely. Shuffling more than this does not significantly increase the “randomness”; shuffle less than this and the deck is “far” from random.

How many times do casinos shuffle a deck?

The current standard is two shuffles, then a riffle, then one shuffle and finally a cut. Any less is not a proper shuffle and any more is considered a waste of time.

What is the most effective shuffling technique?

The Riffle or Dovetail Shuffle is probably the most popular shuffling method of “leafing” the cards, found in both casino and home games. The Riffle Shuffle is a relatively simple and effective method of shuffling. If combined with a swing cut and bridge, it also has the potential to be quite an entertaining shuffle.

What is the most effective way of shuffling?

Moving the fingers of both hands into rifling position, cascade the cards of both stacks down so that their tops overlap by about 3/8", alternating every few cards from each side as they fall. This effectively mixes or shuffles the cards.

What is the perfect shuffle 8 times?

The Faro Shuffle is a perfect shuffle. When cut evenly at 26 cards and shuffled correctly eight times, the deck will return to its original order. Many aspiring magicians attempt to learn this shuffle by using a standard deck of Bicycle playing cards.

Is every card shuffle unique?

Each thoroughly shuffled deck of cards is, in all likelihood, unique, meaning it has never existed before and will never exist again.

Are card shufflers worth it?

Automatic card shufflers are designed to expedite the speed of play in a poker game, whether at a casino or your local home game. They are especially valuable if one or more of the players in a game are not adept at shuffling cards.

How many shuffles is best?

For most games, four to seven riffle shuffles are sufficient: for unsuited games such as blackjack, four riffle shuffles are sufficient, while for suited games, seven riffle shuffles are necessary. There are some games, however, for which even seven riffle shuffles are insufficient.

How many times do dealers shuffle cards?

And yet… dealers in Vegas would never shuffle 7 times, because that would take too much time and it would disrupt the flow of the game, lose momentum. The Vegas standard is 3: riffle, riffle, box, riffle, cut. “The 3 shuffle technique is the industry standard.” So Vegas is on team Marmie.

How many shuffles is a perfect shuffle?

According to a theorem, seven of these shuffles are enough to get a properly mixed and randomized deck. There are 10⁶⁸ different possible arrangements for a deck of 52 cards, so investigating the likelihood of each using each shuffling method is not practical.

How many times can you cut a deck of cards?

Sometimes up to three cuts are allowed. A sensible minimum is about one-fifth of the deck. A cut should always be completed with one hand to limit possibility of a false cut.

How many shuffles does it take to get a deck back to normal?

In particular, a deck of 52 playing cards will be returned to its original ordering after 52 in shuffles or 8 out shuffles.

Are plastic cards better for shuffling?

Copag's plastic cards are very beneficial for beginners, they are much easier to shuffle, and will continue to be easy for the deck's lifetime.

Is the overhand shuffle bad?

In summary, the overhand shuffle does not mix cards very well. The simulation indicates that an overhand shuffle is not effective at separating cards that begin near each other. Even after 100 overhand shuffles (with p=0.5), the positions of many cards are only slightly different from their initial positions.

What is a mash shuffle?

To mash shuffle a deck of cards is to divide the deck in two halves and mash the two halves together. Topologically it's the same as a traditional “riffle shuffle” but instead of riffling through the cards, you just mash them together.