No two card shuffles will EVER be the same. - Page 4

HungLikeJesus · 02-06-2008, 08:13 AM

I forgot to check one of the boundary values. For n = 52!, P should equal one. Instead, for n = 52!, P = (52!-1)/2, so something is not right.

Spexxvet · 02-06-2008, 08:24 AM

Quote:

Originally Posted by classicman

lol - I can't even follow that!

Yeah I was thinking n=52????????????????????, not 52!

classicman · 02-06-2008, 08:25 AM

and I thought "n" was a letter not a number - silly me.

Shawnee123 · 02-06-2008, 08:30 AM

Quote:

Originally Posted by HungLikeJesus

I forgot to check one of the boundary values. For n = 52!, P should equal one. Instead, for n = 52!, P = (52!-1)/2, so something is not right.

Then, what is this n? Does n=52 or does n=number of shuffles?

Quote:

Originally Posted by HungLikeJesus

I'd better present my logic to see if anyone disagrees.

(n*(n-1))/(2*52!) = P; solve for P, where P = probability of 2 or more matching shuffled decks in n shuffles.

Spexxvet · 02-06-2008, 08:33 AM

I think n=n.

Shawnee123 · 02-06-2008, 08:35 AM

lmao

You damn kids and your new math.

HungLikeJesus · 02-06-2008, 08:38 AM

n represents the number of shuffles. When the decks have been shuffled 52! times (52x51x50x...x2x1), all possible combinations --- hey, I think you're right! I've been thinking about this wrong. You don't have to encounter every possible combination to get two that match. Maybe my original calculations were right. I will think about it while I shower. I hope this B&B has a lot of hot water.

Shawnee123 · 02-06-2008, 08:42 AM

Can we watch...um, er...I mean watch the mathematical genius as his mind dazzles with brilliance and...

Flint · 02-06-2008, 08:52 AM

Just give me a number so I can slap you in the face with it. I haven't met my quota for scathing remarks this morning.

HungLikeJesus · 02-06-2008, 09:19 AM

Quote:

Originally Posted by Shawnee123

Can we watch...um, er...I mean watch the mathematical genius as his mind dazzles with brilliance and...

Sorry, I have to be up to the big house in 10 minutes, to get the second B of this B&B.

Flint · 02-06-2008, 09:24 AM

Buttsecks and barbecue?

HungLikeJesus · 02-06-2008, 09:29 AM

Well, it is Montana. Rules are rules.

After last night, I hope it's not too spicy.

skysidhe · 02-06-2008, 09:31 AM

Quote:

Originally Posted by classicman

lol - I can't even follow that!

I think that's the point

busting a gut

Happy Monkey · 02-06-2008, 11:17 AM

Quote:

Originally Posted by HungLikeJesus

I forgot to check one of the boundary values. For n = 52!, P should equal one.

No, P will never be one. You are never guaranteed to get a match.

Clodfobble · 02-06-2008, 11:39 AM

Yes you are, because the outcomes are limited--it's like if you have four different colors of socks, and you choose five socks. Your fifth sock must match one of the other four.

02-06-2008, 08:13 AM	#46
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	I forgot to check one of the boundary values. For n = 52!, P should equal one. Instead, for n = 52!, P = (52!-1)/2, so something is not right. __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

02-06-2008, 08:25 AM	#48
classicman barely disguised asshole, keeper of all that is holy. Join Date: Nov 2007 Posts: 23,401	and I thought "n" was a letter not a number - silly me. __________________ "like strapping a pillow on a bull in a china shop" Bullitt

02-06-2008, 08:33 AM	#50
Spexxvet Makes some feel uncomfortable Join Date: Dec 2005 Posts: 10,346	I think n=n. __________________ "I'm certainly free, nay compelled, to spread the gospel of Spex. " - xoxoxoBruce

02-06-2008, 08:38 AM	#52
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	n represents the number of shuffles. When the decks have been shuffled 52! times (52x51x50x...x2x1), all possible combinations --- hey, I think you're right! I've been thinking about this wrong. You don't have to encounter every possible combination to get two that match. Maybe my original calculations were right. I will think about it while I shower. I hope this B&B has a lot of hot water. __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

02-06-2008, 08:52 AM	#54
Flint Snowflake Join Date: Mar 2006 Location: Dystopia Posts: 13,136	Just give me a number so I can slap you in the face with it. I haven't met my quota for scathing remarks this morning. __________________ **************** There's a level of facility that everyone needs to accomplish, and from there it's a matter of deciding for yourself how important ultra-facility is to your expression. ... I found, like Joseph Campbell said, if you just follow whatever gives you a little joy or excitement or awe, then you're on the right track. . . . . . . . . . . . . . . . . . . . . . . . . . . Terry Bozzio**

02-06-2008, 08:35 AM	#51
Shawnee123 Why, you're a regular Alfred E Einstein, ain't ya? Join Date: Jun 2006 Posts: 21,206	lmao You damn kids and your new math.

02-06-2008, 08:42 AM	#53
Shawnee123 Why, you're a regular Alfred E Einstein, ain't ya? Join Date: Jun 2006 Posts: 21,206	Can we watch...um, er...I mean watch the mathematical genius as his mind dazzles with brilliance and...

02-06-2008, 09:24 AM	#56
Flint Snowflake Join Date: Mar 2006 Location: Dystopia Posts: 13,136	Buttsecks and barbecue? __________________ **************** There's a level of facility that everyone needs to accomplish, and from there it's a matter of deciding for yourself how important ultra-facility is to your expression. ... I found, like Joseph Campbell said, if you just follow whatever gives you a little joy or excitement or awe, then you're on the right track. . . . . . . . . . . . . . . . . . . . . . . . . . . Terry Bozzio**

02-06-2008, 09:29 AM	#57
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	Well, it is Montana. Rules are rules. After last night, I hope it's not too spicy. __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

02-06-2008, 11:39 AM	#60
Clodfobble UNDER CONDITIONAL MITIGATION Join Date: Mar 2004 Location: Austin, TX Posts: 20,012	Yes you are, because the outcomes are limited--it's like if you have four different colors of socks, and you choose five socks. Your fifth sock must match one of the other four.

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