How long would it take to shuffle every order in a pack of cards?

Try 300 quintillion years. To find out how many individual orders you can get using all 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

, we need to work out 52! – remember, that's 52 factorial, not 52 in an excited voice. That comes to about 8 × 10⁶⁷, or to put it in words, 80 thousand vigintillion different shuffles.

Has anyone ever shuffled a deck of cards in order?

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.

How many orders can a pack of cards be shuffled?

The number of possible ways to order a pack of 52 cards is '52! ' (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1. The number you get at the end is 8×10^67 (8 with 67 '0's after it), essentially meaning that a randomly shuffled deck has never been seen before and will never be seen again.

How many times do you shuffle a 52 card deck?

How many times do you have to shuffle a deck of cards in order to mix them reasonably well? The answer is about seven for a deck of fifty- two cards, or so claims Persi Diaconis. This somewhat surprising result made the New York Times [5] a few years ago.

Can you shuffle cards too much?

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.

Combinations of 52 cards (52 factorial)

How long does it take to master shuffling cards?

If you mean to riffle shuffle, then about 4 hours over a couple of days.

What is the 7 shuffle theorem?

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.

Why do you shuffle 7 times?

By saying that the deck is completely mixed after seven shuffles, Dr. Diaconis and Dr. Bayer mean that every arrangement of the 52 cards is equally likely or that any card is as likely to be in one place as in another.

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.

How many shuffles does it take to fully shuffle a deck?

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.

What is a 52 shriek?

The number of possible permutations of 52 cards is '52 factorial' otherwise known as 52! or 52 shriek. This is 52 times 51 times 50 . . . all the way down to one. Here is what that looks like: 80,658,175,170,943,878,571,660,636,856 403,766,975,289,505,440,883,277,824,000,000,000,000.

Who first shuffled cards?

During the Tang dynasty of the 9th century AD, a Princess Tongchang is said to have played the "leaf game". This was probably a paper form of dominoes rather than true cards, but 100 years later Emperor Mu- Tsung is recorded as shuffling and dealing the real thing.

How big is 52 factorial?

52! is approximately 8.0658e67. For an exact representation, view a factorial table or try a "new-school" calculator, one that understands long integers.

What is considered a perfect shuffle?

A perfect shuffle is performed by splitting the deck into a top part and a bottom part and then (starting with the bottom part) repeatedly taking the bottom card from each part and placing them on top of a new deck. The process called an in-shuffle is shown for a deck of 8 cards below.

Which is the donkey theorem?

The Donkey Theorem is also known as the triangle inequality theorem. It states that in a triangle ABC: AC < AB + BC. The name comes from the idea that if a donkey standing at point A, and a hay stack at point C, the donkey will always take the shorter path to go straight from A to C instead of from A to B to C.

Which algorithm is used for shuffling cards?

The Fisher–Yates shuffle is an algorithm for generating a random permutation of a finite sequence—in plain terms, the algorithm shuffles the sequence.

How hard is shuffling?

Learning how to shuffle sounds like daunting task, but it really isn't! All you have to do is take it slow, and practice, practice, practice. You want to start out by learning the basic “running man” move. Start with your feet together, toes pointing forward.

How do you shuffle a 100 card deck?

Break the deck into two 50-card halves and shuffle those individually. The take half of each to form two new 50-card halves and shuffle those individually. Then mash the two 50-card decks together a few times. It's not perfect, but should be a reasonable approximation of shuffling the 100 (or 99, as it were) cards.