Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and will likely never exist again. - Yannay Khaikinpic.twitter.com/afOpu0y7qA
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Suppose a new permutation of 52 cards was drawn every second starting from The Big Bang (13.8 billion years ago) You wouldn't even be close • To count out all 52! permutations you would need 10⁵¹ ages of the universepic.twitter.com/7jhybDU59I
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Here's my definition of a "well shuffled" deck (1) Throw all the cards up in the air (2) Now pick them up
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Since people seem enjoy this, here's a short list I came up with • Everything on this list has roughly the same probability as two randomly shuffled decks being in identical orderpic.twitter.com/d297Cddboj
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Does this take into account a reasonable number of the population participating in this, or is this expanse of time for an individual. Not that it would make a huge difference, but imagine if everyone on earth was working on this at the same time.
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good question! this is assuming a shuffling rate of 1 shuffle/second .. multiply by # of seconds since the big bang and you get how many permutations we would have now .. what this means that in order for us to complete the permutations as of today .. 1/2
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But how many people in the world are shuffling a pack of cards at any given second? And isn't the "unlikely ever again" prediction assuming something about when the universe will end?
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not necessarily the universe .. just humanity .. or at least the kind of humanity that shuffles cards .. somebody already asked this questions in the comments, which i answered .. if you even change the rate to 10^6 shuff/sec since the beginning of the universe .. it1/2
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This is my favourite cocktail party conversation/fact. 99% of people look bored and change the topic. 1% of people gasp; those are my people.
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Only about 10,000,000,000,000,000 ages of the universe probabilistically, using the birthday paradox. By the same token, it’s likely two people have already been dealt exactly the same 13-card hand in the same order.
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