// 169 hands, every number computed

Starting hands, ranked by equity

All 169 starting hands, ranked by how often each wins all-in before the flop against a random hand. Every hand has its own page with its equity against all 168 others, against the four opponent ranges, and its solved push/fold answer at every stack from 2 to 25 bb. Computed by the same engine the trainer runs, not copied from a chart.

What the ranking says

  • AA wins 85.2% against a random hand; 32o, the worst, still wins 32.3%. The whole range of starting hands spans about 53 points.
  • Being suited is worth 2.8 points on average across the 78 unpaired combinations of ranks, from 1.7 (AK) to 3.7 (32).
  • The smallest pair, 22, wins 50.3%: against a random hand it is a coin flip, and 33 offsuit hands rank above it. The best unpaired hand is AKs at 67.0%.
  • Equity against a random hand is not a playing strategy. Nobody calls with a random hand. The opponent columns and the push/fold thresholds below are closer to real decisions; the full answer for the shove-or-fold endgame is on the push/fold charts.
  • For one hand against another, the matchup pages give the exact figure for the famous spots (AK vs QQ, AA vs KK, KK vs AK and more), with every board dealt instead of sampled.
  • What each hand makes by the river, from a pair to a royal flush, is on every hand page and summed up in the hand rankings.

All 169 hands

Opponent columns are equity against that bot's range from /opponents, card removal applied. HU columns are the deepest stack, in big blinds, at which the hand shoves from the small blind (or calls from the big blind) at every depth from 2 bb up; "25+" means the whole solved range. Click a heading to sort.

Handvs random
1AA85.2%83.2%83.4%83.6%83.0%25+25+
2KK82.4%66.1%76.7%76.9%74.5%25+25+
3QQ79.9%53.0%71.7%72.7%68.5%25+25+
4JJ77.5%44.3%66.2%68.4%62.7%25+25+
5TT75.0%35.8%60.8%63.6%58.1%25+25+
69972.0%32.9%56.5%58.4%53.8%25+25+
78869.2%33.1%53.8%55.4%50.6%25+25+
8AKs67.0%45.7%60.2%62.6%58.8%25+25+
97766.3%33.1%51.3%53.1%47.2%25+25+
10AQs66.2%35.5%56.9%60.0%54.2%25+25+
11AJs65.4%32.0%53.9%57.6%49.2%25+25+
12AKo65.3%42.9%58.2%60.7%56.6%25+25+
13ATs64.6%30.2%50.2%55.4%46.5%25+25+
14AQo64.4%31.6%54.7%58.0%51.8%25+25+
15AJo63.5%28.1%51.4%55.3%46.4%25+25+
16KQs63.4%31.9%50.0%52.5%45.8%25+25+
176663.3%33.1%48.8%50.9%44.4%25+25+
18A9s62.8%29.4%46.6%51.0%44.0%25+25+
19ATo62.7%26.3%47.5%53.0%43.6%25+25+
20KJs62.6%30.8%47.0%50.2%42.9%25+25+
21A8s62.0%29.8%45.7%49.1%43.3%25+25+
22KTs61.8%29.0%44.7%48.0%42.1%25+25+
23KQo61.5%28.0%47.4%50.0%42.9%25+25+
24A7s61.0%30.0%44.9%48.2%42.5%25+25+
25A9o60.8%25.6%43.6%48.4%40.9%25+25+
26KJo60.6%27.0%44.1%47.5%39.7%25+25+
275560.3%33.0%46.7%48.9%41.6%25+25+
28QJs60.2%31.7%44.2%47.4%41.5%25+25+
29K9s60.0%27.8%42.8%44.9%40.0%25+23
30A5s59.9%31.0%44.6%47.4%41.6%25+25+
31A6s59.9%29.8%44.2%47.2%41.5%25+25+
32A8o59.9%25.9%42.6%46.3%40.1%25+25+
33KTo59.7%25.0%41.6%45.2%38.8%25+23
34QTs59.5%30.0%42.8%45.1%40.8%25+22
35A4s59.0%30.6%44.0%46.7%41.0%25+25+
36A7o58.8%26.0%41.8%45.2%39.2%25+25+
37K8s58.3%27.4%41.4%43.4%38.5%25+17
38A3s58.2%30.3%43.3%46.1%40.7%25+24
39QJo58.1%28.0%41.2%44.6%38.3%25+19
40K9o57.8%23.8%39.5%41.8%36.6%2417
41A6o57.7%25.8%41.0%44.1%38.1%25+21
42A5o57.7%27.2%41.5%44.4%38.2%25+20
43Q9s57.7%29.0%41.0%42.6%38.9%25+16
44JTs57.5%29.9%41.2%43.5%40.5%25+17
45K7s57.5%27.7%41.2%43.1%38.0%25+15
46A2s57.4%29.9%42.6%45.5%40.3%25+23
47QTo57.3%26.2%39.5%42.2%37.4%25+15
484457.0%32.6%44.5%46.8%39.9%25+25+
49A4o56.7%26.9%40.7%43.6%37.5%25+18
50K6s56.6%27.8%40.7%42.6%37.5%25+14
51Q8s56.0%28.3%39.7%41.3%37.4%25+12
52K8o56.0%23.4%38.1%40.2%35.1%1813
53A3o55.8%26.5%40.1%42.9%37.3%25+16
54K5s55.8%27.7%40.2%42.1%36.5%25+13
55J9s55.6%28.9%39.4%41.5%38.8%25+13
56Q9o55.4%25.1%37.7%39.4%35.5%2011
57JTo55.3%26.2%38.0%40.4%37.2%25+12
58K7o55.2%23.7%37.9%39.9%34.6%1612
59A2o54.9%26.0%39.3%42.3%36.9%25+15
60K4s54.9%27.2%39.4%41.4%36.0%25+12
61Q7s54.3%27.4%38.5%40.1%35.8%25+10
62K6o54.2%23.8%37.4%39.4%33.9%1511
63K3s54.1%26.9%38.8%40.8%35.8%2011
64T9s54.0%28.4%39.9%40.6%39.3%25+11
65J8s54.0%28.2%38.1%40.4%37.4%25+10
663353.7%32.0%42.4%44.9%39.4%25+23
67Q8o53.6%24.4%36.3%38.1%33.9%139
68Q6s53.6%27.7%38.2%39.9%35.5%25+9
69K5o53.3%23.6%36.8%38.8%32.8%1410
70J9o53.3%25.0%36.0%38.2%35.5%25+9
71K2s53.2%26.5%38.1%40.2%35.5%1910
72Q5s52.8%27.6%37.7%39.3%34.5%198
73T8s52.3%27.6%38.4%39.3%37.5%25+9
74K4o52.3%23.2%36.0%38.1%32.4%139
75J7s52.3%27.2%36.8%39.1%35.8%25+8
76Q4s51.9%27.2%37.0%38.7%34.1%168
77Q7o51.7%23.3%35.0%36.7%32.3%108
78T9o51.5%24.5%36.5%37.3%35.9%25+8
79J8o51.5%24.4%34.6%37.1%34.0%137
80K3o51.4%22.8%35.3%37.4%32.2%128
81Q3s51.0%26.8%36.3%38.0%33.9%137
82Q6o51.0%23.7%34.8%36.5%31.9%97
8398s50.8%27.9%39.4%39.6%37.8%25+8
84T7s50.6%26.8%37.2%37.9%36.0%25+7
85J6s50.6%26.2%35.5%37.8%34.2%177
86K2o50.5%22.4%34.6%36.8%31.8%118
872250.3%31.4%40.3%43.0%38.8%25+15
88Q2s50.2%26.5%35.6%37.5%33.6%127
89Q5o50.1%23.6%34.2%35.9%30.8%96
90J5s50.0%26.4%35.2%37.5%33.5%146
91T8o49.7%23.8%35.1%35.9%34.2%176
92J7o49.7%23.4%33.4%35.7%32.3%86
9397s49.1%27.6%38.1%38.3%36.2%25+7
94Q4o49.1%23.3%33.4%35.2%30.3%76
95J4s49.1%26.1%34.5%36.9%33.1%136
96T6s48.9%25.8%35.8%36.6%34.5%206
97J3s48.2%25.8%33.8%36.2%33.0%105
98Q3o48.2%22.9%32.7%34.5%30.2%75
9998o48.1%24.2%36.0%36.3%34.5%206
10087s47.9%28.8%38.4%39.1%36.3%25+6
101T7o47.9%22.9%33.8%34.5%32.5%95
102J6o47.9%22.4%31.9%34.3%30.6%65
10396s47.4%26.7%36.7%36.9%34.8%25+5
104J2s47.4%25.4%33.1%35.6%32.6%85
105Q2o47.3%22.4%31.9%33.9%29.8%75
106T5s47.2%24.5%34.4%35.2%32.6%125
107J5o47.2%22.5%31.6%34.0%29.8%65
108T4s46.5%24.5%33.9%34.8%32.4%105
10997o46.3%23.8%34.8%34.9%32.9%105
11086s46.3%28.1%37.1%37.9%34.9%25+5
111J4o46.2%22.2%30.8%33.3%29.4%54
112T6o46.1%21.9%32.3%33.1%30.9%54
11395s45.7%25.6%35.3%35.5%32.9%144
114T3s45.7%24.1%33.2%34.1%32.3%74
11576s45.4%29.4%37.5%38.4%35.0%25+5
116J3o45.3%21.7%30.0%32.6%29.2%54
11787o45.1%25.2%35.0%35.7%32.9%144
118T2s44.9%23.7%32.4%33.4%31.9%64
11985s44.5%27.0%35.7%36.5%33.1%184
12096o44.5%23.0%33.3%33.5%31.4%44
121J2o44.3%21.3%29.3%31.9%28.9%44
122T5o44.3%20.6%30.7%31.6%28.9%44
12394s43.9%24.2%33.7%33.9%31.6%54
12475s43.7%28.3%36.1%37.0%33.1%244
125T4o43.5%20.6%30.2%31.1%28.7%33
12693s43.3%24.1%33.3%33.6%31.7%44
12786o43.2%24.4%33.7%34.5%31.4%74
12865s43.1%29.6%36.5%37.6%33.7%25+4
12984s42.7%25.5%34.1%35.0%31.7%74
13095o42.7%21.7%31.8%31.9%29.3%33
131T3o42.6%20.2%29.4%30.4%28.5%33
13292s42.4%23.8%32.6%32.9%31.4%33
13376o42.3%25.7%34.0%35.0%31.5%104
13474s41.8%26.8%34.5%35.5%31.8%134
135T2o41.7%19.7%28.7%29.7%28.2%23
13654s41.5%29.4%35.7%36.8%32.9%234
13785o41.4%23.2%32.2%33.1%29.5%33
13864s41.3%28.2%35.0%36.1%32.4%164
13983s40.9%24.0%32.4%33.4%30.6%23
14094o40.7%20.1%30.0%30.3%27.9%23
14175o40.5%24.5%32.7%33.6%29.6%23
14282s40.3%23.9%32.0%33.0%30.5%23
14373s40.1%25.3%32.8%33.9%30.6%23
14493o40.0%20.2%29.6%29.9%28.1%23
14565o39.9%25.9%33.1%34.2%30.2%23
14653s39.7%27.9%34.1%35.3%31.9%24
14763s39.5%26.6%33.3%34.5%31.2%23
14884o39.4%21.5%30.4%31.4%28.0%23
14992o39.1%19.7%28.8%29.1%27.7%23
15043s38.6%27.5%33.5%34.7%31.2%23
15174o38.5%22.9%30.9%31.9%28.2%23
15254o38.2%25.7%32.3%33.4%29.4%23
15372s38.2%23.8%31.2%32.3%29.4%23
15464o38.0%24.4%31.4%32.6%28.8%23
15552s37.9%26.4%32.5%33.7%30.5%23
15662s37.7%25.1%31.6%32.9%29.9%23
15783o37.5%20.0%28.6%29.6%26.9%–2
15842s36.8%26.0%31.8%33.1%30.0%–3
15982o36.8%20.0%28.2%29.3%26.8%–2
16073o36.6%21.3%29.1%30.2%27.0%–2
16153o36.3%24.2%30.6%31.8%28.3%–3
16263o36.1%22.8%29.7%30.9%27.7%–2
16332s36.0%25.6%31.1%32.5%29.8%–3
16443o35.1%23.8%29.9%31.1%27.7%–3
16572o34.6%19.8%27.4%28.5%25.6%–2
16652o34.3%22.6%28.8%30.1%26.9%–2
16762o34.1%21.1%27.9%29.2%26.2%–2
16842o33.2%22.2%28.1%29.5%26.3%–2
16932o32.3%21.7%27.4%28.8%26.2%–2
// how this was computed
  • Our Rust engine dealt 200,000 random boards for each of the 14,196 class-vs-class matchups (ties count half; sampling error about ±0.1 points per matchup).
  • Against a range, each villain class is weighted by its combos still live after your two cards. Against a random hand that is all 1,225 remaining two-card hands.
  • Ranges for the four opponents are stated assumptions, printed on /opponents. Push/fold thresholds come from the solved heads-up table (no ante, shove or fold only).
  • Raw data: hands.json, plus one file per hand under /data/hands/.

Put the maths into practice

Put the hand rankings into practice: take the three-spot starting assessment or study how opponent ranges change equity.