What are the odds of getting the same deck twice?

The odds of shuffling a standard 52-card deck

standard 52-card deck

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

in the same order twice is one in 80 unvigintillion.

What are the odds of getting the same deck of cards 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 is '52! ' (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1.

What are the odds of a deck of cards being 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.

Has anyone ever shuffled the same deck?

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 duplicates are in a deck of cards?

There are no duplicates. Additionally, a deck can contain two, or sometimes four, unsuited "jokers", for a total of 54 or 56 cards. Generally one joker is the same as any other, but their artworks may differ.

Combinations of 52 cards (52 factorial)

What is the rarest card in a deck?

Is every card in a deck unique?

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

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 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.

What are the odds of guessing a 52 card deck?

Picking cards

If you choose a card at random, there are 52 possibilities for what you might get. So, if a magician were to simply guess what card you have picked, there would be a chance of only 1/52 they guess it correctly, or a little less than 2%.

What is the fastest time to sort a deck of cards?

The fastest time to arrange a deck of playing cards is 35.20 seconds, and was achieved by Lim Kai Yi (Malaysia) in Cheras, Malaysia, on 30 September 2022. Lim is an avid speed solver and has won many speed solving competitions.

Can you get a 1 in a deck of cards?

"1" cards are usually known as aces. "2" cards are also known as deuces.

How many times has a deck of cards been shuffled in history?

8 x 10⁶⁷. How big is this number? Well, someone shuffling a deck of cards once per second since the beginning of the universe (believed to be about 14 billion years ago) would not have shuffled the deck more than 10¹⁸times.

Is every deck shuffle unique?

While it's possible that two packs of cards may have been shuffled into the same order, the odds of that having happened are actually tiny and yes, it's hugely likely that each properly shuffled deck is indeed a unique variation of those 52 cards.

Why 52 cards in a deck?

The most common theory is that the 52 cards represent 52 weeks in a year. The four colors represent the four seasons. The 13 cards in a suit represent the thirteen weeks in each season, Four suits times 13 cards in a suite equals 52.

Why do we 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 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.

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.

Can you do 100 factorial?

The factorial of 100 is the multiplication 100 x 99 x 98 x … x 3 x 2 x 1 in which 100 is multiplied by every whole number below it. The answer is 158-digits long.

How many digits is 500 factorial?

So the maximum possible pairs of 2 and 5 that can be made are 4 so the number of zeros in 500! are 124 . So the number of zeros in the end of the 500! are 124.

Is there a joker card in a deck?

In a standard deck in the US or Britain, there are usually two Jokers.

Who invented cards?

PLAYING cards were invented by the Chinese before AD1000. They reached Europe around 1360, not directly from China but from the Mameluke empire of Egypt. The history of suitmarks demonstrates a fascinating interplay between words, shapes and concepts.

How old are playing cards?

Playing cards first appeared in Europe in the 1370s, probably in Italy or Spain and certainly as imports or possessions of merchants from the Islamic Mamlūk dynasty centred in Egypt. Like their originals, the first European cards were hand-painted, making them luxury goods for the rich.