Based on this analysis, Diaconis wrote that “seven shuffles are necessary and sufficient to deal approximately 52 cards at random”. Of course, our technique just put an upper limit on the distance between Rk and U.

…

Summary.

kd(k)

8 0.17

9 0.09

10 0.04

7 baris lainnya

How often do I have to shuffle this deck?

http://www.ams.org › feature-column › fcarc-shuffle

Contents

- How many times do you need to shuffle a new deck of cards?
- Is shuffling a deck of cards truly random?
- How many possible ways are there to shuffle a deck of cards?
- How much shuffling is enough?
- What does 52 factorial look like?
- How do you randomize cards?
- How random is shuffling?
- What is the most effective shuffle?
- How many decks of cards are shuffled every day?
- How many combinations of 52 numbers are there?
- How much is 8.06 e67?
- How many ways can you shuffle a deck of cards Reddit?

Jim Reeds of Bell Laboratories and showed that a deck is perfectly shuffled when it is shuffled **between 5 and 20 times**. Next, Dr. Diaconis with Dr. Aldous and showed that it takes 5 to 12 shuffles to shuffle a deck perfectly

“**The usual shuffling creates a card order that is far from random**,” said Diaconis. “Most people shuffle cards three or four times. Five times is considered excessive.” But five is still less than the number required for effective shuffling.

No one has, or is likely ever to hold, the exact same 52-card deck that you did during this game. It seems unbelievable, but there are somewhere in the range of **8×10 ^{67}** ways to sort a deck. That’s an 8 followed by 67 zeros.

For most games, **four to seven riffle shuffles** are sufficient: for unsuited games like blackjack, four riffle shuffles are sufficient, while for suited games, seven riffle shuffles are required. However, there are some games for which even seven riffle shuffles are not enough.

For most games, **four to seven riffle shuffles** are sufficient: for unsuited games like blackjack, four riffle shuffles are sufficient, while for suited games, seven riffle shuffles are required. However, there are some games for which even seven riffle shuffles are not enough.

Use your thumbs to pull up the corners, pull the two halves of the deck closer together, and then drop the cards – like a normal shuffle, but with just a small corner of the deck. The corners of the cards should now be shuffled together. Slide the connected cards back together, align the deck, and repeat.

The probability that anyone in the history of the world has ever (pretty much) shuffled a deck the same way twice, or will ever do so again, is **infinitely small**. The number of ways to order a deck of 52 cards is ’52!

According to the video, the well-known “**riffle method**” of mixing trumps all others. It involves holding half of the deck in each hand and then using your thumbs to switch cards. But you have to shuffle seven times to get the job done.

Playing cards in their current form have been around for about eight centuries. A deck of cards is shuffled into a random arrangement **a billion times a day**.

There are 52 cards in each deck, meaning the possible combinations would total 52! (52 factorial), which is equal to **8,06e+67**.

**52!** is a hell of a number, equal to 8.06e+67. 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 to be precise. It’s a 68-digit number.

TIL That when you shuffle a deck of cards, there are 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 **different arrangements**: r/p >.Magic

- https://www.nytimes.com/1990/01/09/science/in-shuffling-cards-7-is-winning-number.html
- https://phys.org/news/2017-02-shuffle-cards-maths.html
- https://www.mcgill.ca/oss/article/did-you-know-infographics/there-are-more-ways-arrange-deck-cards-there-are-atoms-earth
- https://en.wikipedia.org/wiki/Shuffling
- https://www.youtube.com/watch?v=0DSclqnnC2s
- https://bicyclecards.com/article/learn-new-shuffling-tips-and-techniques/
- https://quantumbase.com/how-unique-is-a-random-shuffle/
- https://www.huffpost.com/entry/best-way-to-shuffle-cards-math_n_6948720
- https://math.stackexchange.com/questions/671/when-you-randomly-shuffle-a-deck-of-cards-what-is-the-probability-that-it-is-a
- https://www.reddit.com/r/theydidthemath/comments/1x4mw3/just_how_many_possible_card_combinations_are_there/
- https://blog.priyanshrastogi.com/crazy-math-every-time-you-shuffle-a-deck-of-cards-chances-are-that-you-make-history-7afe34c8dcb3
- https://www.reddit.com/r/Magic/comments/ka1dd/til_that_if_you_shuffle_a_deck_of_cards_there_are/

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