Royal_Tour 0 Posted March 21, 2006 Share Posted March 21, 2006 The Unique shuffles is as followsthere are 7 shuffles needed to create a random deck of cardseach permutation X is given a method of shuffling Zthere for X1 = a random variable and x=2 a random permutationX1 x X2 = Z2now we combine Z with itself and have convolution as Z x Zthe end result is a matrix of a 52 deck of cards with Z2 amount of outcomes.hurts my brain Link to post Share on other sites
sixhands 0 Posted March 21, 2006 Share Posted March 21, 2006 Why can't this be the lowest ranking hand that is the nuts if no straight or flush is possible.Why the set of Queens?whoops, copied the wrong turd post Link to post Share on other sites
johnb1983 0 Posted March 21, 2006 Author Share Posted March 21, 2006 Well since no one is going to try the other one out according to Lee there are 52! (52x51x50 etc...) unique shuffles that can be made with a deck.That means that there is 8*10to the 67th power, or 8 with 67 zeros behind it different ways a deck can be shuffled.That means that anytime you shuffle a deck of cards no deck of cards has ever been shuffled in that way before. Any thoughts on this? Seems unlikely but with a number that big maybe it is true. Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 The Unique shuffles is as followsthere are 7 shuffles needed to create a random deck of cardseach permutation X is given a method of shuffling Zthere for X1 = a random variable and x=2 a random permutationX1 x X2 = Z2now we combine Z with itself and have convolution as Z x Zthe end result is a matrix of a 52 deck of cards with Z2 amount of outcomes.hurts my brainI could be wrong, but I don't think that's correct. Link to post Share on other sites
Royal_Tour 0 Posted March 21, 2006 Share Posted March 21, 2006 I could be wrong, but I don't think that's correct.heh,... ahh, you're right, i was just trying to impress you.The actual number was lost many centuries ago, no one knowsI'm not gonna lie, i have no idea wtf i even wrote. Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 I'm not gonna lie, i have no idea wtf i even wrote.When in Rome... Link to post Share on other sites
Royal_Tour 0 Posted March 21, 2006 Share Posted March 21, 2006 When in Rome...yes... do continue? Link to post Share on other sites
Hobbes 1 Posted March 21, 2006 Share Posted March 21, 2006 The world memory champion can recite the exact order of a shuffled deck of cards after looking at it for only 32 seconds. Link to post Share on other sites
RhinestoneCowboy 2 Posted March 21, 2006 Share Posted March 21, 2006 Well since no one is going to try the other one out according to Lee there are 52! (52x51x50 etc...) unique shuffles that can be made with a deck.That means that there is 8*10to the 67th power, or 8 with 67 zeros behind it different ways a deck can be shuffled.That means that anytime you shuffle a deck of cards no deck of cards has ever been shuffled in that way before. Any thoughts on this? Seems unlikely but with a number that big maybe it is true.That is the total number of ways the cards can be organized in the deck, which means you would most likely never have all 52 cards in the same order if the deck is properly randomized.. Link to post Share on other sites
mx957 0 Posted March 21, 2006 Share Posted March 21, 2006 Definetly 52! 52 factorial unique combo's. (8.0658175170943878571660636856404e+67)You math guys can explain the factorial definition better than I but I do remember my stat's class and any set of unique items the has N members has N! worth of combinations. Link to post Share on other sites
Andy Beal 0 Posted March 21, 2006 Share Posted March 21, 2006 Lee Jones is chatting with my 3/6 table and giving away FPPs for answering trivia questions. His first question was how many unique shuffles are there of a 52 card deck?Anybody know the answer? It won't help me get any FPPs since it has already been answered but interesting none the less. It has sparked a long conversation at the table.So two things, does Lee do this all the time and does anybody know the answer to his question?He just asked another, after all 5 cards are dealt in holdem what is the lowest ranking hand that can be the nuts. Describe the board and the hole cards.GL52! = 52*51*5*...*3*2*1 = really big Link to post Share on other sites
Swift_Psycho 1 Posted March 21, 2006 Share Posted March 21, 2006 When in Rome...nh Link to post Share on other sites
Andy Beal 0 Posted March 21, 2006 Share Posted March 21, 2006 The Unique shuffles is as followsthere are 7 shuffles needed to create a random deck of cardseach permutation X is given a method of shuffling Zthere for X1 = a random variable and x=2 a random permutationX1 x X2 = Z2now we combine Z with itself and have convolution as Z x Zthe end result is a matrix of a 52 deck of cards with Z2 amount of outcomes.hurts my brainYour post is nonsense and does not answer the question asked. Link to post Share on other sites
Royal_Tour 0 Posted March 21, 2006 Share Posted March 21, 2006 Your post is nonsense and does not answer the question asked.Or did my post just blow your mind so greatly that it makes perfect sense??ps. i need like 5,000 if thats cool? PM me Link to post Share on other sites
srblan 0 Posted March 21, 2006 Share Posted March 21, 2006 If he means the lowest starting hand that is the nuts, 23 suited can make a straight flush. MX is right about the number of shuffles. It's 52!. Link to post Share on other sites
alf13 0 Posted March 21, 2006 Share Posted March 21, 2006 Tell me if you think that I am off base here.But I am convinced that Lee Jones has banged every hooker in every city he has visited for a poker tournament or convention.That is my read..and I am not changing it....I call. Link to post Share on other sites
Andy Beal 0 Posted March 21, 2006 Share Posted March 21, 2006 Or did my post just blow your mind so greatly that it makes perfect sense??ps. i need like 5,000 if thats cool? PM meNo, it is just nonsense. I have a PhD in mathematics. Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 No, it is nonsense. I have a PhD in mathematics.Just face it. You're out of your league, Beal. Royal is a math god. Link to post Share on other sites
wsox8 10 Posted March 21, 2006 Share Posted March 21, 2006 I know that if you thoroughly shuffle an ordinary deck of 52 cards, chances are practically 100 percent that the resulting arrangement of cards has never before existed. The number of different wayut to arrange five items is 120 and the number of different ways to arrange 52 items is 8.066 X 16^67.. I found it interesting. There is a page about it in my macroecon book Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 I know that if you thoroughly shuffle an ordinary deck of 52 cards, chances are practically 100 percent that the resulting arrangement of cards has never before existed. The number of different wayut to arrange five items is 120 and the number of different ways to arrange 52 items is 8.066 X 16^67.. I found it interesting. There is a page about it in my macroecon bookI'm no math wiz, but I would venture to say that that is a ridiculous statement. Link to post Share on other sites
RhinestoneCowboy 2 Posted March 21, 2006 Share Posted March 21, 2006 I'm no math wiz, but I would venture to say that that is a ridiculous statement.You may actually be wrong for once turd man ::sorry face::If everyone in the world (6.5 billion) shulffed a deck once a second for 1000 years, that would only be 2 * 10^20 different shuffles, which would still leave you with about a one in 4 * 10^47 chance that you match a shuffle that someone else has come up with... Link to post Share on other sites
srblan 0 Posted March 21, 2006 Share Posted March 21, 2006 I'm no math wiz, but I would venture to say that that is a ridiculous statement.I'm not so sure that it's ridiculous. Given a truly random shuffle, it's possible that you could shuffle cards for your whole life and never repeat a configuration. Given that the estimated number of atoms in the universe is less than 10 orders of magnitude greater than the number of unique shuffles, it is very possible that no truly random shuffle could ever be repeated.One of the problems with early (and maybe some current) poker sites is that their random number generators only used 32 bits, which is far smaller than the number of unique shuffles. However, even given this much smaller space, if you ran a program which generated 32 bit numbers randomly and kept track of them, stopping when a duplicate was generated, you could probably run for years without ever hitting a duplicate (just an estimate, too lazy to do the actual calculation). Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 I'm not so sure that it's ridiculous. Given a truly random shuffle, it's possible that you could shuffle cards for your whole life and never repeat a configuration. Given that the estimated number of atoms in the universe is less than 10 orders of magnitude greater than the number of unique shuffles, it is very possible that no truly random shuffle could ever be repeated.One of the problems with early (and maybe some current) poker sites is that their random number generators only used 32 bits, which is far smaller than the number of unique shuffles. However, even given this much smaller space, if you ran a program which generated 32 bit numbers randomly and kept track of them, stopping when a duplicate was generated, you could probably run for years without ever hitting a duplicate (just an estimate, too lazy to do the actual calculation). You may actually be wrong for once turd man ::sorry face::If everyone in the world (6.5 billion) shulffed a deck once a second for 1000 years, that would only be 2 * 10^20 different shuffles, which would still leave you with about a one in 4 * 10^47 chance that you match a shuffle that someone else has come up with...I stand corrected. Link to post Share on other sites
srblan 0 Posted March 21, 2006 Share Posted March 21, 2006 I stand corrected.*screenshot* Link to post Share on other sites
turd ferguson 1 Posted March 21, 2006 Share Posted March 21, 2006 *screenshot*LOL. This happens a lot. Link to post Share on other sites
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now