Results are in
Ok, here's the results I'm getting when comparing against the "any pair, any ace" set of hands. These are win fractions.
AAo: 0.868701
KKo: 0.717437
QQo: 0.694589
JJo: 0.671537
TTo: 0.648316
AKs: 0.633812
99o: 0.618106
AKo: 0.615742
AQs: 0.602706
88o: 0.594209
AQo: 0.582691
AJs: 0.570817
77o: 0.568266
AJo: 0.548738
66o: 0.543522
ATs: 0.539245
55o: 0.518897
ATo: 0.515079
A9s: 0.498569
44o: 0.489243
A9o: 0.471471
A8s: 0.468405
33o: 0.45922
A8o: 0.439287
A7s: 0.439104
JTs: 0.435095
QJs: 0.432201
KQs: 0.429669
QTs: 0.428981
22o: 0.428917
KJs: 0.426322
KTs: 0.423085
T9s: 0.421997
J9s: 0.41557
A6s: 0.412231
98s: 0.410088
Q9s: 0.409378
A7o: 0.407937
T8s: 0.407644
A5s: 0.406675
JTo: 0.403909
K9s: 0.40339
87s: 0.401158
J8s: 0.401144
QJo: 0.400481
KQo: 0.397427
QTo: 0.39714
97s: 0.395388
Q8s: 0.394819
KJo: 0.393954
T7s: 0.392131
A4s: 0.391515
76s: 0.390746
KTo: 0.390595
T9o: 0.390155
K8s: 0.38856
86s: 0.386708
K7s: 0.385625
J7s: 0.385609
J9o: 0.383063
A3s: 0.381557
96s: 0.380882
K6s: 0.380852
Q7s: 0.379169
A6o: 0.379119
65s: 0.377947
98o: 0.377458
T6s: 0.377398
Q6s: 0.377175
Q9o: 0.376213
T8o: 0.374833
A5o: 0.373404
K5s: 0.372262
75s: 0.372141
A2s: 0.371275
J6s: 0.37076
K9o: 0.369575
Q5s: 0.368592
87o: 0.368155
85s: 0.36804
J8o: 0.367665
54s: 0.365187
J5s: 0.364974
K4s: 0.364348
95s: 0.362213
97o: 0.361791
Q8o: 0.360678
Q4s: 0.360674
64s: 0.359884
T5s: 0.35859
T7o: 0.358288
76o: 0.357173
A4o: 0.357137
J4s: 0.357052
K3s: 0.356324
74s: 0.353963
K8o: 0.35376
T4s: 0.353475
86o: 0.352724
Q3s: 0.352646
J7o: 0.351098
K7o: 0.350695
84s: 0.349813
J3s: 0.34902
K2s: 0.348201
53s: 0.346731
A3o: 0.346479
96o: 0.346298
K6o: 0.345598
T3s: 0.345439
Q2s: 0.344518
Q7o: 0.343993
94s: 0.34389
65o: 0.343729
T6o: 0.34255
Q6o: 0.3419
63s: 0.341299
J2s: 0.340887
93s: 0.33867
43s: 0.33766
75o: 0.337437
T2s: 0.337301
K5o: 0.336543
73s: 0.335466
A2o: 0.335453
J6o: 0.335241
85o: 0.33291
Q5o: 0.332851
83s: 0.331219
92s: 0.330518
54o: 0.330241
J5o: 0.329216
K4o: 0.328023
52s: 0.327759
95o: 0.326483
82s: 0.325903
64o: 0.324395
Q4o: 0.324329
T5o: 0.322591
62s: 0.322283
J4o: 0.320689
K3o: 0.319379
42s: 0.318872
74o: 0.31797
T4o: 0.317097
72s: 0.316582
Q3o: 0.315681
84o: 0.313391
J3o: 0.312037
K2o: 0.310618
53o: 0.310492
32s: 0.309713
T3o: 0.308441
Q2o: 0.306915
94o: 0.306866
63o: 0.304498
J2o: 0.303267
93o: 0.301252
43o: 0.3009
T2o: 0.299667
73o: 0.298163
83o: 0.293484
92o: 0.292463
52o: 0.290183
82o: 0.287756
62o: 0.284141
42o: 0.280797
72o: 0.277943
32o: 0.271115
Some notes:
* good pairs and aces increase in rank vs. other pairs and aces, due to the "domination" effect.
* There aren't many hands which have a win pct > 50% against a random pair or ace! The only "winners" are: AAo, KKo, QQo, JJo, TTo, AKs, 99o, AKo, AQs, 88o, AQo, AJs, 77o, AJo, 66o, ATs, 55o, ATo
* If you want an edge of 70% or better, you have to wait for KK or AA.
* The best hand other than an ace or pair is JTs! Maybe that old idea about JT being the "best hand" wasn't _so_ crazy.
* Note the abysmal rank of A2o, which some guy at the aviation club came over the top all-in with last night on WPT... to lose.
* Fossilman's semi-famous T9s play isn't far from as good as you can do if you don't have an ace or pair in front of you. Higher suited connectors are better, but not by much.
* T8s ranks better than A5s! Beware dominated aces!
Here's a side-by-side on the top 15 hands in each case:
vs. As, pairs vs. random hand
-------------|---------------|
AAo: 0.868701 AAo: 0.852037
KKo: 0.717437 KKo: 0.823957
QQo: 0.694589 QQo: 0.799252
JJo: 0.671537 JJo: 0.774695
TTo: 0.648316 TTo: 0.750118
AKs: 0.633812 99o: 0.720573
99o: 0.618106 88o: 0.69163
AKo: 0.615742 AKs: 0.670446
AQs: 0.602706 77o: 0.66236
88o: 0.594209 AQs: 0.662089
AQo: 0.582691 AJs: 0.653927
AJs: 0.570817 AKo: 0.65318
77o: 0.568266 ATs: 0.646024
AJo: 0.548738 AQo: 0.644298
66o: 0.543522 AJo: 0.635612
Note how much AKo jumps up. Also note that AJs goes down in rank, but AJo goes up!
Comments welcome!
eastbay
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