If you shuffle a deck of cards properly

dasherHampton

Platinum Member
Jan 19, 2018
2,670
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you have an almost certain chance of getting an order that has never happened before, in all of the card games that have ever occurred.

I read one of those "amazing facts" articles and that kind of blew my mind.
 

Captante

Lifer
Oct 20, 2003
30,354
10,880
136
you have an almost certain chance of getting an order that has never happened before, in all of the card games that have ever occurred.

I read one of those "amazing facts" articles and that kind of blew my mind.


Considering how many decks of cards are shuffled say just in Vegas in one day for example I find this very difficult to believe.
 

Captante

Lifer
Oct 20, 2003
30,354
10,880
136
52! = 8.0658175e+67


Went over my head sorry ... math-challenged here. o_O :D

I'd have to go with cards having been shuffled millions of times since they were invented no? If so my guess is most if not all possible combo's have come up at least once.


52! = 80658175170943878571660636856403766975289505440883277824000000000000


That IS however a truly huge number! :oops:
 
Last edited:

IronWing

No Lifer
Jul 20, 2001
73,269
34,661
136
Went over my head sorry ... math-challenged here. o_O :D

I'd have to go with cards having been shuffled millions of times since they were invented no? If so my guess is most if not all possible combo's have come up at least once.

That IS however a truly huge number! :oops:

An estimated 100 billion people have ever lived. If each person spent every living second shuffling decks and got good at it so they could generate a new shuffle for every second of their 79 years (current life expectancy), the number of permutations available in a card deck would be 3.23532E+47 times greater than the number of permutations generated by all those people.
 

Hayabusa Rider

Admin Emeritus & Elite Member
Jan 26, 2000
50,879
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An estimated 100 billion people have ever lived. If each person spent every living second shuffling decks and got good at it so they could generate a new shuffle for every second of their 79 years (current life expectancy), the number of permutations available in a card deck would be 3.23532E+47 times greater than the number of permutations generated by all those people.

The Maths, how does it do it?
 
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HomerJS

Lifer
Feb 6, 2002
39,608
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Went over my head sorry ... math-challenged here. o_O :D

I'd have to go with cards having been shuffled millions of times since they were invented no? If so my guess is most if not all possible combo's have come up at least once.





That IS however a truly huge number! :oops:
Huuuuuuuuuuuuuuuugge!
 

Hayabusa Rider

Admin Emeritus & Elite Member
Jan 26, 2000
50,879
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It doesn't. People just make up answers because they know nobody is going to do the math to check.

What is really huge in terms of numbers is how many possible variations and states there can be before causally linked space must repeat. I mean zero particles to jam packed with all the possible states and particle combinations.

I don't remember the number but it's friggin huge, and IF the universe is infinite, there must be an infinite number of ones with an identical numbers of each of us doing all possible things.

Weird.
 

sdifox

No Lifer
Sep 30, 2005
100,850
18,071
126
80,658,175,170,943,876,845,634,591,553,351,679,477,960,544,579,306,048,386,139,594,686,464
 

shortylickens

No Lifer
Jul 15, 2003
80,287
17,082
136
Interesting fact.
No, it isnt.
Its a bullshit interpretation of statistics and probability. Its also a major logical fallacy.

Just because something CAN be different does not automatically mean it WILL be different.

And like most logical fallacies, it gets passed around a lot by ignorant people who think they're wise.
 

Atreus21

Lifer
Aug 21, 2007
12,001
571
126
A more confusing question would be how to determine the probability of arriving at a unique combination.