Sklansky-Chubukov Rankings

[GaF]

With no electricity tonight, I had some time to get back to basics and actually read a book (by torchlight :wall) - and yes, it was poker!!! Found it quite interesting to discover the Sklansky-Chubukov Numbers, and feel the need to share it (and check my understanding of exactly what the numbers mean!!) - ok most of you probably already know all this? This is for the rest of us ;) What are they You are in the small blind in a $1-$2 games. Everyone folds to you. What hands can you shove with? It depends on the smaller of your stack size and your opponents stack size - The Sklansky-Chubukov number is the stack size which gives you guaranteed positive ev. It is guaranteed to be more profitable to shove (+ve EV) than to fold (0 EV) (this is cash game - not quite so definitive, but applicable to tourneys too). How does it work? When you hold a hand, there are 1225 (50*49/2) possible alternative hands your opponent can hold. If you are ahead, go all in and your opponent calls then you have positive ev. Your opponent is in this scenario best served by folding. The calculations for S-C assume your opponent plays perfectly and always folds when behind. This serves to conservatively estimate your ev. We continue to assume your opponent plays perfectly and always calls you when he is ahead (Jeez - it's almost as if he can see your cards ;) ) For example, if you have AKo your opponent will call with 79 of his possible hands and fold with 1146. He will call 6.4% of the time and fold 93.6% of the time. Why 79 hands? He is beating you with AA (3 combinations), KK (3 combinations), QQ, JJ, TT, 99, 88, 77, 66, 55, 44, 33 and 22 (6 combinations each). 7 of the 9 remaining AK combinations are not underdogs to you (2 are because of the K that is lower than your Ace on the flush). (3 x 2) + (11 x 6) + 7 = 79 With the basket of hands that your opponent calls with, when you are called, you are on average a 43.3% dog and he is a 56.7% fav. So we can now work out the ev for every situation: You fold: ev = 0 You shove, opponent folds: ev = .9355 x $3 = $2.8065 You Shove, opponent calls, opponent wins: ev = .0645 x .567 x - Stack You Shove, opponent calls, you win: ev = .0645 x .433 x (Stack + Blinds) Stack is the smaller of your and your opponents stack. The S-C number is the size of stack which will lead to break even (against "perfect" opponent) ev for the 4 scenarios. The "answer" for AKo is $332 - if we punch this number in, we can prove that this is the answer. 0 + $2.8065 + (.0645 x .567 x -$332) + (0.645 x .433 x (332 + 3)) = 0 + $2.8065 - $12.14 + $9.356048 = 0 (near enough) To be continued.........:ok

[Nade]

Re: Sklansky-Chubukov Rankings

You are in the small blind in a $1-$2 games. Everyone folds to you. What hands can you shove with?

What hands can you flippin shove with??? it's a chuffing cash game sklansky wake up man! woooooo let's shove so we can win $2 because it's +EV :eyes. Sorry, will properly read your post tomorrow Gaf just that bit has annoyed me