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#1
05-07-2005, 11:05 PM
 Jeff W Member Join Date: May 2004 Posts: 85
Poker Combinatorics.

Can anyone link me to a web page or post w/ a crash course/refresher on poker combinatorics?
#2
05-07-2005, 11:27 PM
 Jeff W Member Join Date: May 2004 Posts: 85
Re: Poker Combinatorics.

P.S. My main goal is to evaluate opponent's hand range.

i.e. Opponent has a given hand range after he bets the river--say KK-55, AKs-A5s, AKo-A9o on an AA532 board. I have A6. How often do I have the best hand?

I'd like to be able to figure that out myself. If there are any other important combinatorics applications for hand analysis, I am interested in those as well.
#3
05-08-2005, 05:53 AM
 imported_leader Senior Member Join Date: Jan 2005 Location: Around Boston Posts: 510
Re: Poker Combinatorics.

[ QUOTE ]
i.e. Opponent has a given hand range after he bets the river--say KK-55, AKs-A5s, AKo-A9o on an AA532 board. I have A6. How often do I have the best hand?

[/ QUOTE ]

Hands you beat: KK to 66 (48 combos),
Hands you have tied: A6s (1 combo)
Hands that beat you: 55 (1 combo) + AK - A9 suited or not (20 combos) + A8s - A7s (2 combos)

A5s is hard to know because it depends on the suits on the board and in your hand. For example if you know your opponent can only have the A [img]/images/graemlins/club.gif[/img] and the 5 of :club is on the board then a5s is out. So I'm going to amend your range to exclude A5s.

Therefore, you are 48-72-1. You will win about 40% of the time.
#4
05-08-2005, 07:05 AM
 Jeff W Member Join Date: May 2004 Posts: 85
Re: Poker Combinatorics.

[ QUOTE ]
Hands that beat you: 55 (1 combo)...

[/ QUOTE ]

With 1 5 on the board, why aren't there 3 combinations that beat me?

for example with 5d on board:

5c5h
5c5s
5h5s

I know basically how to calculate this stuff, I was hoping that someone could point me to a post that goes over all the shortcuts.
#5
05-08-2005, 06:20 PM
 imported_leader Senior Member Join Date: Jan 2005 Location: Around Boston Posts: 510
Re: Poker Combinatorics.

[ QUOTE ]
[ QUOTE ]
Hands that beat you: 55 (1 combo)...

[/ QUOTE ]

With 1 5 on the board, why aren't there 3 combinations that beat me?

for example with 5d on board:

5c5h
5c5s
5h5s

I know basically how to calculate this stuff, I was hoping that someone could point me to a post that goes over all the shortcuts.

[/ QUOTE ]

opps [img]/images/graemlins/blush.gif[/img]
#6
05-08-2005, 06:24 AM
 sirio11 Junior Member Join Date: Aug 2003 Location: El Paso, TX Posts: 11
Re: Poker Combinatorics.

I think you're better off using PokerStove.
#7
05-08-2005, 07:00 AM
 Jeff W Member Join Date: May 2004 Posts: 85
Re: Poker Combinatorics.

[ QUOTE ]
I think you're better off using PokerStove.

[/ QUOTE ]

Nah. Pokerstove tells me how often I'm winning and in this example it's sufficient. However, in a more complicated situation, I need to know how often I'm winning and will be called.

I also can't manually weight hand ranges with pokerstove:

I estimate that this player raises 66 UTG 1/2 the time. Therefore, 66 is part of his hand range--but it is weighted to be a smaller component than it would be in pokerstove.
#8
05-08-2005, 10:58 AM
 goodguy_1 Senior Member Join Date: Sep 2002 Posts: 1,028
Re: Poker Combinatorics.

ZeeJustin made a similar inquiry here: Looking for Software to do Simulations
#9
05-09-2005, 01:02 AM
 NLSoldier Member Join Date: Feb 2004 Location: St. Cloud, MN Posts: 91
Re: Poker Combinatorics.

I'm interested in this too. Does a site like this exist?
#10
05-10-2005, 05:28 AM
 The Dude Senior Member Join Date: Nov 2002 Location: My new favorite people to hate: Angels fans. Posts: 582
Re: Poker Combinatorics.

What are you doing in this forum? Get your ass back to OOT and quit clogging the real forums.

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