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Shuffling Cards - 52!
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May 12, 2022 09:06:03   #
jerryc41 Loc: Catskill Mts of NY
 
This might seem hard to believe, but follow the math. Every time you shuffle a deck of cards, you are getting a combination that has never been seen - ever! "52!" means "52 factorial," and that is an unbelievably large number.

https://www.youtube.com/watch?v=hoeIllSxpEU

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May 12, 2022 09:31:46   #
Nalu Loc: Southern Arizona
 
That was interesting. Thanks for sharing!

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May 12, 2022 09:44:59   #
mr spock Loc: Fairfield CT
 
jerryc41 wrote:
This might seem hard to believe, but follow the math. Every time you shuffle a deck of cards, you are getting a combination that has never been seen - ever! "52!" means "52 factorial," and that is an unbelievably large number.

https://www.youtube.com/watch?v=hoeIllSxpEU


Trying to comprehend all those numbers made my hair hurt!

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May 12, 2022 09:54:38   #
jerryc41 Loc: Catskill Mts of NY
 
mr spock wrote:
Trying to comprehend all those numbers made my hair hurt!


I know what you mean.

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May 12, 2022 10:11:24   #
PhotogHobbyist Loc: Bradford, PA
 
Is there a term for a number that size? Would that be a bazillion or maybe a gazillion?

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May 12, 2022 16:53:43   #
mr spock Loc: Fairfield CT
 
PhotogHobbyist wrote:
Is there a term for a number that size? Would that be a bazillion or maybe a gazillion?


Or maybe a bazillion gazillion
Now we're talking some real numbers

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May 12, 2022 17:04:17   #
therwol Loc: USA
 
jerryc41 wrote:
This might seem hard to believe, but follow the math. Every time you shuffle a deck of cards, you are getting a combination that has never been seen - ever! "52!" means "52 factorial," and that is an unbelievably large number.

https://www.youtube.com/watch?v=hoeIllSxpEU


Actually 80658175170943878571660636856403766975289505440883277824000000000000

And actually, I didn't do the calculation myself. Googled it.

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May 13, 2022 05:16:06   #
chrissybabe Loc: New Zealand
 
jerryc41 wrote:
This might seem hard to believe, but follow the math. Every time you shuffle a deck of cards, you are getting a combination that has never been seen - ever! "52!" means "52 factorial," and that is an unbelievably large number.
https://www.youtube.com/watch?v=hoeIllSxpEU

I didn't watch the video so maybe this was discussed in there ?
Anyway the statement isn't quite correct. The laws of chance will also show that it is possible to get the same draw 2 times in a row. Or the same draw maybe 37 shuffles apart so the statement '- ever! ' isn't true.

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May 13, 2022 06:51:52   #
airbornedon Loc: Cranford NJ
 
WOW

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May 13, 2022 09:17:31   #
Jimmy T Loc: Virginia
 
mr spock wrote:
Trying to comprehend all those numbers made my hair hurt!


Ditto Squared, or Just Ouch!

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May 13, 2022 09:28:38   #
joehel2 Loc: Cherry Hill, NJ
 
chrissybabe wrote:
I didn't watch the video so maybe this was discussed in there ?
Anyway the statement isn't quite correct. The laws of chance will also show that it is possible to get the same draw 2 times in a row. Or the same draw maybe 37 shuffles apart so the statement '- ever! ' isn't true.


The point in the video was centered on the odds of shuffling 52 cards and getting all 52 cards in the same order twice.

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May 13, 2022 09:32:23   #
LDB415 Loc: Houston south suburb
 
Gigantic number, absolutely. Never before seen, not likely. Being random it is just as likely to match as to not match, if not consecutively then eventually. YMMV

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May 13, 2022 10:23:33   #
sb Loc: Florida's East Coast
 
chrissybabe wrote:
I didn't watch the video so maybe this was discussed in there ?
Anyway the statement isn't quite correct. The laws of chance will also show that it is possible to get the same draw 2 times in a row. Or the same draw maybe 37 shuffles apart so the statement '- ever! ' isn't true.


The comment was regarding getting the same order within a 52 card deck twice in a row. That is kind of like the old expression that having a monkey type at a typewriter for an infinite amount of time, eventually he would type "War and Peace".

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May 13, 2022 10:56:54   #
jerryc41 Loc: Catskill Mts of NY
 
PhotogHobbyist wrote:
Is there a term for a number that size?


I hope no one has seen the need to name that.

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May 13, 2022 11:01:49   #
jerryc41 Loc: Catskill Mts of NY
 
sb wrote:
That is kind of like the old expression that having a monkey type at a typewriter for an infinite amount of time, eventually he would type "War and Peace".


They tried something similar with a bunch of computers. The computers typed random "words," millions of them, but they didn't even make one sentence. I couldn't find a reference, but here's a link to the monkey.

https://en.wikipedia.org/wiki/Infinite_monkey_theorem

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