FTR Chat Question of the Day #1: Full Ring vs. Six Max

Default Equity:

{AA 72o}, 6 combos AA, 12 combos 72o
98s

54.995 / 45.005 in favor of 98s


likelihood of openfolding an ace by position:
BU: 0%
CO: 6.33%
HJ: 7.24%
MP: 8.14%
E3: 9.35%
E2: 10.9%
E1: 11.5%

Six max: 0.22 Aces have been folded
Full ring: 0.53 Aces have been folded


likelihood of openfolding 7x/2x by position

BU: 12.7%
CO: 24.4%
HJ: 25.0%
MP: 26.2%
E3: 26.5%
E2: 27.5%
E1: 27.5%

Six max: 0.88 7 or 2 have been folded
Full ring: 1.70 7 or 2 have been folded


results:

six max: 3.78 Aces, 3.56 Sevens, 3.56 Deuces
6 combos AA * (3.78/4) = 5.67 combos
12 combos 72o * (3.56/4) = 10.68 combos
16.35 total combos


full ring: 3.47 Aces, 3.15 Sevens, 3.15 Deuces
6 combos AA * (3.47/4) = 5.21 combos
12 combos 72o * (3.15/4) = 9.45 combos
14.66 total combos


Equity 98s vs AA = 22.06%
Equity 98s vs 72o = 72.46%

Six max Equity:
(0.2206)(5.67/16.35) + (0.7246)(10.68/16.35) = 54.98%

Full ring equity:
(0.2206)(5.21/14.66) + (0.7246)(9.45/14.66) = 54.55%



My math is probably fucked.

Originally Posted by Renton

full ring: 3.47 Aces, 3.15 Sevens, 3.15 Deuces
6 combos AA * (3.47/4) = 5.21 combos
12 combos 72o * (3.15/4) = 9.45 combos
14.66 total combos

The stuff previous to this is fine. There won't be 5.21 combos of AA. If there was 1.99/4 aces w/ this calculation we would be getting ~3combos when there isn't even 2 aces in the deck.