Poker Combinatorics.

[Jeff W]

Can anyone link me to a web page or post w/ a crash course/refresher on poker combinatorics?

[Jeff W]

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.

[imported_leader]

[ 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 /images/graemlins/club.gif 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.

[sirio11]

I think you're better off using PokerStove.

[Jeff W]

[ 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.

[Jeff W]

[ 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.

[goodguy_1]

ZeeJustin made a similar inquiry here: Looking for Software to do Simulations (http://forumserver.twoplustwo.com/showflat.php?Cat=&Number=2339976&page=0&view=colla psed&sb=5&o=&fpart=1#Post2342611)

[imported_leader]

[ 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 /images/graemlins/blush.gif

[NLSoldier]

I'm interested in this too. Does a site like this exist?

[The Dude]

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