Log in

View Full Version : preflop all-in EV, some numbers


eastbay
01-08-2004, 01:38 PM
I did a little more thinking about my all-in play EV calculations.

Let's group games into "tight", "normal", "loose" and "wild" characterized by the following calling hands of all-in plays at a table of even stacks S:

tight: AA KK QQ AKs
normal: tight + AKo JJ TT 99
loose: normal + AQ 88 77
wild: loose + 66 55 44 33 22 AJ

These are a bit arbitrary and I'm open to suggestion for better groupings.

The scenario is you hold AKo (just to be concrete) and push-in with N players at the table and B blinds (or maybe limps) on the table.

The first time I calculated break-even expectation ratio S/B. But of course all-in with even stacks is a big risk, and you'd like more than a guarantee of break-even. So let's repeat the calculations considering that you'd like to expect 10% or 25% profits in order to push.

"tight" table:
N break-even 10% 25%
9 30.2994059 7.13443333 3.3232823
8 34.3580626 7.38439837 3.39105201
7 39.5763354 7.64816511 3.46051478
6 46.5340326 7.92690911 3.53173487
5 56.2748085 8.22194328 3.6047798
4 70.8859725 8.53473865 3.67972063
3 95.2379124 8.86694885 3.75663214
2 143.941792 9.22043934 3.8355931
1 290.053432 9.5973225 3.91668653

Now these numbers are starting to look pretty realistic to me, in particular the 10% column.

Maybe the most striking result here is the weakening dependence on N as your requirements for profits grows.

The "normal", "loose" and "wild" results are proprietary. (just kidding, too lazy to finish right now.)