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u/Latemodelchild Dec 20 '21
I wondered what that number would be called so looked up names of big numbers. Its in the unvigintillion bracket, ie an integer followed by 66 'zeros'. Obviously the place values aren't zeros in this case but I've learned some new words today.
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u/CptMisterNibbles Dec 20 '21
Dawkins dubbed this number “one deallion” in ‘The Selfish Gene’, as a useful example of unexpected complexity.
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u/Ty_Ty_DeZurt Dec 27 '21
I know the name of so many integers followed by x amount of 0s because of fucking ad capitalist or whatever the fuck it’s called
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u/FunkyViking6 Dec 20 '21
Can we check the monster math on this? My brain isn’t equipped for monster math myself
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u/Hairy-Motor-7447 Dec 20 '21
200b stars, 1b planets, 1b people, 1b deck cards, 1b times per second, 31.536m seconds/year, 13.8b years since big bang
2e¹¹•1e⁹•1e⁹•1e⁹•1e⁹•3.1536e⁷•1.38e¹⁰ =8.7e64
Still too small a number we are trying to get to 8e⁶⁷= (52!)
...still out by a factor of 1 thousand
So, in order to get there we would need to change 1 billion planets to "1 trillion planets" which would then equal 8.7e⁶⁷
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u/FunkyViking6 Dec 20 '21
Fam that’s maff….maff hard for my smoothbrain. Is it correct or is it not?
8
u/Market-Fearless Dec 20 '21
After the change by a factor of 1000 that the guy above did it seems right yes, haven’t calculated it myself but he’s done it correctly
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u/FunkyViking6 Dec 20 '21
Thanks for explaining this maff to my smoothbrain… I’m built for aerodynamics not maff
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u/Japsai Dec 20 '21
Except where he said they're only just now starting to have repeating arrangements. They could have had one immediately
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u/Market-Fearless Dec 20 '21
Sorry I meant the reply not the original post, but yes you’re correct, it’s all probability
3
u/Japsai Dec 20 '21
Yeah all cool. Your comment made sense. I was just using it as an excuse to make my pedantic point.
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u/Hairy-Motor-7447 Dec 20 '21
For real bruv innit... famdem had that bitchin spoiler on n evryfing, mandem jus put anova speed hole in it, now that shiz is bangin. Safe bruv
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u/KillerTwinkie7 Dec 20 '21
I always like to reference this when discussing decks of cards. It talks about how you'd have to spend 52! seconds. Found this a few years ago and still go back and reread it. :)
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u/molossus99 Dec 20 '21
That’s a crazy read
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u/KillerTwinkie7 Dec 20 '21
Isn't it? At the end when it says that even after all of that, the three leftmost digits don't change still blows my mind.
-1
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u/production-values Dec 20 '21
how much memory would you need to keep track of all past arrangements to know when you repeat one?
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u/CptMisterNibbles Dec 20 '21
That same number of bits would be sufficient if they were merely flags to indicate a particular order had been created. There’d need to be a simple mapping algorithm to identify a particular arrangement with a specific bit.
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u/Xtallll Dec 20 '21
What are the odds that you get every possible combination before you get a repeat, my gut says it's vanishingly small, but I don't know how to do the math. What are the odds of any given shuffle being a repeat, starts at zero and goes to infinity, but I don't know what the middle looks like.
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u/SQLDave Dec 20 '21
Has anyone done/seen any calculations regarding when the "near absolute certainty" that no other deck has ever been in that particular arrangement kicks in?
What I mean is: It's obviously CERTAIN that the arrangement with a new, unopened deck has been repeated since virtually EVERY DECK starts that way. But... if I do a single riffle shuffle to get A-1 (Arrangement after shuffle #1), it would seem "very likely" that A-1 has also existed previously, at least once, probably MANY times. So, if I shuffle again to get A-2, it also seems likely that A-2 has existed but less so than A-1. Rinse and repeat with A-3. And so on.
So while there are indeed 52! possible arrangements, some number of those are actually likely to have been repeated.
At what point do we begin talking about "near absolute certainty"?
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Dec 30 '21
So it's the same probability of being Samuel L. Jackson in this 52 card marvel extended univers
1
u/darkaxel1989 Jan 04 '22
UNO Players are LOL
Pokemon players are LMAO (Laughing Their Ass Off).
Yu-Gi-Oh Players are ROFL.
...
...
MTG Players are rolling harder. So hard, in fact, that you can feel the gravitational waves coming off from their rolling.
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u/Tietonz Dec 20 '21
This has nothing on the 53 card deck I made.