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Number of strategically different hands
http://poker-ai.org/phpbb/viewtopic.php?f=24&t=2584		 Page 1 of 1
Author:  Hipp [ Thu Sep 12, 2013 1:30 am ]
Post subject:  Number of strategically different hands
Hi guys,

I'm trying to count strategically different hands for every street.
I'm counting private+board cards.
What I mean by strategically different? Lets say that on turn we have on board 4 cards with different colors. There is no chance that some player will have flush. So we don't count colors at all. In this example if we have AcKd and boards is 2c5d8hKs it is strategically the same hand as AsKc + board 2d5h8sKc.Also order of the cards is not important (it is only important which cards are ours). My results:
pre-flop 169
flop 1274241
turn 6916715
river 14660597

do you have the same?
Author:  proud2bBot [ Thu Sep 12, 2013 2:38 am ]
Post subject:  Re: Number of strategically different hands
at a first glance it looks right. if you want to compare the exact numbers, just look at the numbers of entries for the flop/turn/river luts from one of the implementations. each lut should contain a single entry for a "strategically different hand".
Author:  cantina [ Thu Sep 12, 2013 2:48 am ]
Post subject:  Re: Number of strategically different hands
Well look what the cat dragged in...
Author:  proud2bBot [ Thu Sep 12, 2013 2:55 am ]
Post subject:  Re: Number of strategically different hands
Meowww :)
Author:  spears [ Thu Sep 12, 2013 8:37 am ]
Post subject:  Re: Number of strategically different hands
The numbers for boards only are
flop: 1755
turn: 16432
river: 42769 (assuming you merge all nut-boards)

On average I see about 700 hands for the flop and 350 hands for the turn, so you look about right. Sorry I don't have more accurate numbers.
Author:  MrNice [ Thu Sep 12, 2013 9:29 am ]
Post subject:  Re: Number of strategically different hands
Hey Guyz,

Based on https://www.google.be/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&sqi=2&ved=0CDAQFjAA&url=http%3A%2F%2Fwww.aaai.org%2Focs%2Findex.php%2FWS%2FAAAIW13%2Fpaper%2Fdownload%2F7042%2F6491&ei=GoYxUtCSOs-O7QbppID4Dg&usg=AFQjCNG2i8s4RL3zXmGnbQ5FsKKDjkEB7A&sig2=cSr1bnMyrMAlaHmiZBxEyA&bvm=bv.52109249,d.Yms

and https://github.com/kdub0/hand-isomorphism

We should get (as far as I have understood) :
Pre-Flop 169
Flop : 1286792
Turn : 55190538
River : 2428287420

I'm a bit surprised of this numbers except for Pre-FLop...

How do you get so small LUT ?

Regards,

MrNice
Author:  proud2bBot [ Thu Sep 12, 2013 1:01 pm ]
Post subject:  Re: Number of strategically different hands
Check out the archive and search for LUTs, there have been 2 or 3 really good topics about it.
Author:  Hipp [ Fri Sep 13, 2013 4:37 am ]
Post subject:  Re: Number of strategically different hands
MrNice wrote:

How do you get so small LUT ?



I think that is the case:

Hipp wrote:
Also order of the cards is not important (it is only important which cards are ours).
Author:  OneDayItllWork [ Fri Sep 13, 2013 5:01 am ]
Post subject:  Re: Number of strategically different hands
The suits of the cards are not important... only the number of cards with matching suits.
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