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What Is The Probability Of Shuffling A Deck Of Cards In Order
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We discuss how unique card decks are and how it is almost scientifically impossible that a random shuffle will match somebody elses
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
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By good shuffling all cards have equal probability to end up as first card of the deck after shuffling There are 52 candidates and only one of them will indeed end up as first card of the deck after shuffling
If you and everyone on the Earth right now shuffled a million randomized decks every millisecond that universe has existed the probability that any two decks at one moment were the same would be What is the probability Let s make some assumptions for the purposes of calculation
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The randomization of a deck of cards by repeated interleaving More generally a shuffle is a rearrangement of the elements in an ordered list Shuffling by exactly interleaving two halves of a deck is called a riffle shuffle
In this article we will do the basic calculations and we ll also show that whenever you shuffle a deck of cards you make history chances are you produce an order of cards that has never ever occurred before in the whole long history of the Universe
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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
https://fredhohman.com/card-shuffling
On average 236 single card riffles will randomly shuffle a deck of cards Let s Riffle Equations are great but let s visualize this Below is the same ordered deck of cards from before except the K has been highlighted red so we can follow its journey to the top of the deck
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
On average 236 single card riffles will randomly shuffle a deck of cards Let s Riffle Equations are great but let s visualize this Below is the same ordered deck of cards from before except the K has been highlighted red so we can follow its journey to the top of the deck
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