Sklansky-Chubukov (a.k.a Karlson) Hand Rankings Revised

[kev]

These are the assumptions that the Sklansky-Chubukov rankings are based on:

1. This is a no limit hold'em game where everyone folded to the SB (or it's a head-to-head match up between SB and BB).

2. BB will only call your raise. He will not re-raise.

3. BB has an unlimited stack (or at least big enough to cover up to SB's KK hand).

4. BB sees your hand after your bet and will only call if his hand is better than yours.

However there is a difference between a heads-up game and a game with more than 2 players. When someone folds to you, they are telling you something about their hand. They are telling what they DON'T have. This has implications on the probability of others players having various hands.

Let's take a contrived example: you are in a 3 player game and the player on the button is the rock of gibralter; he will only ever play a pair of aces. He folds to you in the small blind. You have A2o. Now if we neglect the information given to us by the fold, we assume the chances of the big blind having AA are 3/1225 or about 1/408.
The chance of the big blind having one ace would be 141/1225.

But if we include this information in our calculation we find the chance of the big blind having AA is actually 1/391.36 and the chance of one ace 143.914/1225 (I csn show the working out to anyone who is interested).
You risk of having your hand dominated is greater.

Here is a portion of the rankings

A2o 45.819455
KTo 45.608339
QTs 44.501932

I expect that if these new weightings are factored in, KTo and QTs would become stronger hands than A2o.

Does Karlson still post on these forums? It would be good if he or someone else could add these new weightings into the equation and see if this is true.

[Copernicus]

[ QUOTE ]
These are the assumptions that the Sklansky-Chubukov rankings are based on:

1. This is a no limit hold'em game where everyone folded to the SB (or it's a head-to-head match up between SB and BB).

2. BB will only call your raise. He will not re-raise.

3. BB has an unlimited stack (or at least big enough to cover up to SB's KK hand).

4. BB sees your hand after your bet and will only call if his hand is better than yours.

However there is a difference between a heads-up game and a game with more than 2 players. When someone folds to you, they are telling you something about their hand. They are telling what they DON'T have. This has implications on the probability of others players having various hands.

Let's take a contrived example: you are in a 3 player game and the player on the button is the rock of gibralter; he will only ever play a pair of aces. He folds to you in the small blind. You have A2o. Now if we neglect the information given to us by the fold, we assume the chances of the big blind having AA are 3/1225 or about 1/408.
The chance of the big blind having one ace would be 141/1225.

But if we include this information in our calculation we find the chance of the big blind having AA is actually 1/391.36 and the chance of one ace 143.914/1225 (I csn show the working out to anyone who is interested).
You risk of having your hand dominated is greater.

Here is a portion of the rankings

A2o 45.819455
KTo 45.608339
QTs 44.501932

I expect that if these new weightings are factored in, KTo and QTs would become stronger hands than A2o.

Does Karlson still post on these forums? It would be good if he or someone else could add these new weightings into the equation and see if this is true.

[/ QUOTE ]

Why bother? the rankings are interesting guidelines but any one seriously hoping to play better is going to be putting opponents on ranges of hands and estimating their own profits. Also you would need mutiple K-S rankings based on the relative tightness of the folder(s).

It sounds to me like you want to reduce the game to formulas..not the best way to play imo.