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Quote from: Thebox on 05/09/2015 10:59:31Quote from: Colin2B on 05/09/2015 09:35:53OK, I understand where 52 variants comes from in live game = 52 different card faces.I don't understand where 1,000,000 comes from in Internet game. If you only play with one deck at a time in any one game then it's the same as live. For it to be different you would need to play with a single deck of 1,000,000 cards each with a different face value. So no I don't understand.Yes you do understand, because in bold on the internet that is exactly what you do by the alignment of seat to card order,No I don't understand.What do you mean by "the alignment of seat to card order"How does this differ from live game.You are surely not suggesting that you play with a deck of 1,000,000 cards?And please, describe this in words don't try to use maths.

Quote from: Colin2B on 05/09/2015 09:35:53OK, I understand where 52 variants comes from in live game = 52 different card faces.I don't understand where 1,000,000 comes from in Internet game. If you only play with one deck at a time in any one game then it's the same as live. For it to be different you would need to play with a single deck of 1,000,000 cards each with a different face value. So no I don't understand.Yes you do understand, because in bold on the internet that is exactly what you do by the alignment of seat to card order,

OK, I understand where 52 variants comes from in live game = 52 different card faces.I don't understand where 1,000,000 comes from in Internet game. If you only play with one deck at a time in any one game then it's the same as live. For it to be different you would need to play with a single deck of 1,000,000 cards each with a different face value. So no I don't understand.

Well actually if there is 1,000,000 top cards there is 52,000,000 cards in total, If I asked you to pick any card from any position of any deck, I have asked you to choose a card of 52,000,000 cards.

If I tell you to choose a card from the top cards, you are choosing from 1,000,000 cards effectively playing a 1,000,000 card dec

But there are only 52 face values, so the probability of getting any given card is 1/52

I will put it this way, you are dealt a single hand using a single deck, or you pick a hand from 1,000,000 already made hands.Do you think this sounds like the same game?

Quote from: Thebox on 06/09/2015 08:16:36I will put it this way, you are dealt a single hand using a single deck, or you pick a hand from 1,000,000 already made hands.Do you think this sounds like the same game?Let me ask some questions so I can understand.1) In a live game the dealer uses a single deck which he shuffles after each hand.2) If instead he preshuffles 100 decks which he then lays out on the table and asks the first player to choose a deck at random. Is this the same probability as 1)? no3) if the dealer does as 1), but instead of dealing off the top of the deck he deals from the bottom has that affected the game?yesAgain words only please, no maths.

Ok, I now understand what you are saying.From a probability point of view all the games are equal. I would view the 100 decks as following probability rules when they were dealt and equal to the individual shuffled deck. Over a large number of games they are equal. Probability deals with what is most likely to happen under various circumstances and degree of knowledge.Your theory involves predetermination, which is not part of probability. You are dealing with individual events.If you want to develop a maths for your theory you have to stop using probability terms as it will only confuse people.I don't know how you can handle this with maths. Will have a think, but not hopeful.

ColinI think I am trying to describe this - SL(n, Z) → SL(n, Z/N·Z)https://en.wikipedia.org/wiki/Congruence_subgroup

86400/86400=152/86400=0.0006018518551/86400=0.0005902777750/86400=0.00057870371/86400=0.00001157407this seems connected somehow?added - 52*2/86400=0.001203703752*100/86400=0.0601851851852*1661.53846154/86400=1

Can you explain why you think that and how you link the variables to your problem?because of what this says,In mathematics, the special linear group of degree n over a field F is the set of n × n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group given by the kernel of the determinant I don't know why you are dividing 52, 51, 50 etc. we agreed that you are not looking at probability but at what is 'written' so you need actual values as what is written is no longer random but fixed. Also your problem has more to do with orientation of the decks that individual cards.I have to repeat however that for me what is written is irrelevant, it is how it was written that is important and that is what defines the distribution of the cards over a large number of games. Thus until we know the outcome, the rules of probability apply and P(X)=P(Y).And yes, in your view of the game P(X) cannot =P(Y) because the card values are a single, specific outcome.