// push/fold charts · 6-max · 6 bb

6-max push/fold at 6 bb

At 6 big blinds with a 1 bb big-blind ante, the equilibrium open-shoves 32.3% of hands from UTG, widening to 82.2% from the small blind. Below: every seat's shoving range, every seat's calling range against every shove, and each hand's EV against folding. Solved, not remembered, and the assumptions are printed at the bottom so you can argue with them.

Open-shove ranges, folded to you

One chart per seat. Each assumes everyone in front has folded and everyone behind defends with their equilibrium calling range. Mixed hands show their shove frequency.

UTG

shoves 32.3% first in

22+, A2s+, K5s+, Q8s+, J8s+, T8s+, 98s, A2o+, K9o+, QTo+, JTo

HJ

shoves 35.1% first in

22+, A2s+, K3s+, Q7s+, J8s+, T8s+, 98s, 87s, A2o+, K7o+, QTo+, JTo

CO

shoves 43.3% first in

22+, A2s+, K2s+, Q5s+, J7s+, T7s+, 97s+, 87s, A2o+, K4o+, Q8o+, J9o+, T9o

BTN

shoves 52.0% first in

22+, A2s+, K2s+, Q2s+, J5s+, T6s+, 97s+, 86s+, 76s, A2o+, K2o+, Q5o+, J8o+, T8o+

SB

shoves 82.2% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 73s+, 63s+, 53s+, 43s, A2o+, K2o+, Q2o+, J2o+, T2o+, 95o+, 85o+, 75o+, 65o
always (≥80%) mixed, % shown never (≤20%)

Calling a shove

Pick who shoved and who is deciding. The caller is the first player to act after the shove with everyone between them folded; under this model, once someone calls, everyone behind folds.

BB calls 75.9% against a BTN shove of 52.0%

always (≥80%) mixed, % shown never (≤20%)

Call vs fold, closest hands

BB facing BTN: the hands nearest indifference

HandCall freqCall vs fold (bb)
83s0%−0.009
42s100%+0.012
75o100%+0.014
J4o100%+0.022
92s100%+0.033
54o100%+0.038
62s0%−0.044
T6o100%+0.045
82s0%−0.048
J3o0%−0.053
22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 73s+, 63s+, 52s+, 42s+, A2o+, K2o+, Q2o+, J4o+, T6o+, 96o+, 86o+, 75o+, 65o, 54o

Every calling range at 6 bb

SpotCallsRange
HJ vs UTG28.0%22+, A2s+, K7s+, Q9s+, JTs, A2o+, KTo+, QTo+
CO vs UTG28.0%22+, A2s+, K7s+, Q9s+, JTs, A2o+, KTo+, QTo+
BTN vs UTG28.0%22+, A2s+, K7s+, Q9s+, JTs, A2o+, KTo+, QTo+
SB vs UTG33.0%22+, A2s+, K3s+, Q8s+, J8s+, T8s+, 98s, 87s, A2o+, K9o+, QTo+, JTo
BB vs UTG62.4%22+, A2s+, K2s+, Q2s+, J3s+, T4s+, 95s+, 84s+, 74s+, 63s+, 53s+, 43s, A2o+, K2o+, Q6o+, J8o+, T7o+, 97o+, 86o+, 76o, 65o
CO vs HJ29.7%22+, A2s+, K6s+, Q9s+, J9s+, T9s, A2o+, K9o+, QTo+
BTN vs HJ29.7%22+, A2s+, K6s+, Q9s+, J9s+, T9s, A2o+, K9o+, QTo+
SB vs HJ33.9%22+, A2s+, K3s+, Q8s+, J8s+, T8s+, 98s, 87s, A2o+, K8o+, QTo+, JTo
BB vs HJ64.1%22+, A2s+, K2s+, Q2s+, J2s+, T3s+, 94s+, 84s+, 74s+, 63s+, 53s+, 43s, A2o+, K2o+, Q5o+, J8o+, T7o+, 97o+, 86o+, 76o, 65o
BTN vs CO35.7%22+, A2s+, K2s+, Q8s+, J9s+, T9s, A2o+, K6o+, Q9o+, JTo
SB vs CO42.4%22+, A2s+, K2s+, Q5s+, J7s+, T8s+, 97s+, 87s, 76s, A2o+, K4o+, Q8o+, J9o+
BB vs CO68.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 93s+, 84s+, 73s+, 63s+, 52s+, 43s, A2o+, K2o+, Q3o+, J7o+, T7o+, 97o+, 86o+, 76o, 65o
SB vs BTN48.4%22+, A2s+, K2s+, Q2s+, J6s+, T7s+, 97s+, 87s, 76s, A2o+, K2o+, Q7o+, J8o+, T9o
BB vs BTN75.9%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 73s+, 63s+, 52s+, 42s+, A2o+, K2o+, Q2o+, J4o+, T6o+, 96o+, 86o+, 75o+, 65o, 54o
BB vs SB82.2%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 73s+, 63s+, 53s+, 43s, A2o+, K2o+, Q2o+, J2o+, T2o+, 95o+, 85o+, 75o+, 65o
All 169 hands at 6 bb: shove EV by seat
HandUTGHJCOBTNSB
AA+5.484+5.285+5.233+4.953+4.402
KK+4.473+4.404+4.492+4.403+4.105
QQ+3.956+3.905+3.952+3.931+3.831
JJ+3.532+3.514+3.564+3.553+3.557
TT+3.132+3.138+3.231+3.242+3.285
99+2.684+2.694+2.815+2.870+2.987
88+2.363+2.353+2.463+2.529+2.717
77+2.063+2.061+2.149+2.206+2.448
66+1.785+1.788+1.853+1.903+2.174
55+1.530+1.538+1.601+1.636+1.909
44+1.234+1.258+1.325+1.357+1.634
33+0.936+0.979+1.061+1.086+1.397
22+0.642+0.707+0.802+0.828+1.157
AKs+3.164+3.111+3.134+2.974+2.801
AQs+2.847+2.807+2.849+2.764+2.706
AJs+2.551+2.553+2.629+2.587+2.611
ATs+2.287+2.324+2.445+2.437+2.523
A9s+1.823+1.922+2.103+2.162+2.311
A8s+1.562+1.668+1.897+2.009+2.228
A7s+1.316+1.441+1.706+1.860+2.130
A6s+1.087+1.238+1.518+1.694+2.026
A5s+1.047+1.199+1.479+1.664+2.014
A4s+0.921+1.080+1.372+1.563+1.902
A3s+0.837+1.002+1.291+1.479+1.841
A2s+0.742+0.914+1.209+1.405+1.767
KQs+1.401+1.581+1.946+2.156+2.391
KJs+1.159+1.363+1.743+1.990+2.298
KTs+0.934+1.160+1.567+1.839+2.207
K9s+0.565+0.786+1.236+1.569+2.004
K8s+0.329+0.515+0.936+1.309+1.835
K7s+0.246+0.422+0.785+1.178+1.754
K6s+0.175+0.341+0.644+1.037+1.668
K5s+0.082+0.248+0.529+0.911+1.586
K4s−0.010+0.156+0.431+0.804+1.468
K3s−0.096+0.075+0.356+0.717+1.405
K2s−0.183−0.007+0.274+0.641+1.328
QJs+0.734+0.882+1.128+1.449+2.029
QTs+0.529+0.698+0.973+1.316+1.941
Q9s+0.218+0.384+0.644+1.046+1.740
Q8s+0.029+0.199+0.392+0.801+1.575
Q7s−0.156+0.019+0.188+0.572+1.403
Q6s−0.180−0.016+0.128+0.489+1.334
Q5s−0.261−0.091+0.058+0.390+1.252
Q4s−0.350−0.176−0.027+0.296+1.136
Q3s−0.440−0.260−0.099+0.207+1.070
Q2s−0.523−0.337−0.173+0.136+0.997
JTs+0.412+0.571+0.723+1.013+1.715
J9s+0.187+0.315+0.423+0.741+1.513
J8s+0.014+0.138+0.221+0.502+1.346
J7s−0.172−0.038+0.040+0.300+1.177
J6s−0.336−0.206−0.139+0.123+1.011
J5s−0.386−0.249−0.173+0.060+0.947
J4s−0.473−0.330−0.253−0.029+0.831
J3s−0.556−0.408−0.317−0.107+0.768
J2s−0.645−0.491−0.396−0.183+0.694
T9s+0.217+0.307+0.391+0.590+1.324
T8s+0.047+0.140+0.213+0.376+1.155
T7s−0.140−0.036+0.035+0.196+0.983
T6s−0.305−0.204−0.139+0.026+0.818
T5s−0.509−0.393−0.316−0.157+0.650
T4s−0.566−0.446−0.365−0.212+0.559
T3s−0.652−0.527−0.433−0.291+0.492
T2s−0.740−0.608−0.510−0.366+0.420
98s+0.093+0.149+0.204+0.324+0.980
97s−0.075−0.007+0.044+0.159+0.819
96s−0.241−0.175−0.126−0.005+0.659
95s−0.448−0.368−0.307−0.184+0.497
94s−0.660−0.570−0.503−0.378+0.308
93s−0.710−0.616−0.540−0.426+0.268
92s−0.794−0.695−0.615−0.501+0.195
87s0.000+0.062+0.086+0.154+0.748
86s−0.162−0.102−0.0760.000+0.593
85s−0.363−0.290−0.252−0.168+0.435
84s−0.575−0.491−0.451−0.366+0.256
83s−0.790−0.695−0.641−0.557+0.100
82s−0.840−0.742−0.684−0.602+0.050
76s−0.107−0.048−0.029+0.027+0.552
75s−0.297−0.224−0.194−0.136+0.401
74s−0.515−0.432−0.396−0.334+0.230
73s−0.726−0.632−0.584−0.523+0.078
72s−0.944−0.838−0.783−0.714−0.086
65s−0.216−0.154−0.133−0.091+0.397
64s−0.420−0.349−0.324−0.274+0.243
63s−0.640−0.556−0.517−0.466+0.090
62s−0.857−0.762−0.717−0.658−0.072
54s−0.335−0.263−0.229−0.195+0.296
53s−0.542−0.458−0.413−0.377+0.148
52s−0.762−0.665−0.612−0.568−0.012
43s−0.635−0.546−0.497−0.463+0.067
42s−0.851−0.749−0.693−0.650−0.088
32s−0.946−0.836−0.768−0.729−0.151
AKo+2.957+2.914+2.944+2.788+2.646
AQo+2.621+2.589+2.636+2.564+2.546
AJo+2.300+2.314+2.395+2.371+2.446
ATo+2.015+2.068+2.196+2.207+2.348
A9o+1.522+1.640+1.836+1.919+2.124
A8o+1.237+1.361+1.608+1.748+2.032
A7o+0.968+1.113+1.400+1.585+1.923
A6o+0.725+0.899+1.201+1.410+1.814
A5o+0.684+0.857+1.159+1.376+1.800
A4o+0.548+0.730+1.041+1.267+1.679
A3o+0.455+0.642+0.955+1.175+1.613
A2o+0.356+0.551+0.868+1.095+1.531
KQo+1.072+1.276+1.675+1.919+2.213
KJo+0.806+1.038+1.452+1.735+2.112
KTo+0.572+0.827+1.267+1.575+2.017
K9o+0.168+0.421+0.910+1.286+1.798
K8o−0.079+0.134+0.593+1.009+1.617
K7o−0.166+0.035+0.431+0.870+1.530
K6o−0.246−0.056+0.276+0.715+1.437
K5o−0.351−0.160+0.149+0.578+1.346
K4o−0.447−0.256+0.044+0.463+1.218
K3o−0.542−0.346−0.039+0.366+1.150
K2o−0.629−0.428−0.122+0.288+1.067
QJo+0.367+0.538+0.805+1.169+1.833
QTo+0.141+0.333+0.631+1.019+1.735
Q9o−0.197−0.003+0.281+0.731+1.519
Q8o−0.397−0.203+0.008+0.467+1.343
Q7o−0.602−0.403−0.215+0.221+1.156
Q6o−0.620−0.434−0.274+0.132+1.084
Q5o−0.709−0.516−0.352+0.024+0.994
Q4o−0.804−0.607−0.444−0.079+0.867
Q3o−0.899−0.695−0.518−0.171+0.799
Q2o−0.992−0.782−0.601−0.251+0.715
JTo+0.020+0.203+0.369+0.701+1.498
J9o−0.226−0.074+0.047+0.410+1.280
J8o−0.406−0.261−0.168+0.155+1.105
J7o−0.608−0.452−0.363−0.064+0.919
J6o−0.783−0.631−0.555−0.255+0.741
J5o−0.835−0.676−0.590−0.321+0.674
J4o−0.926−0.761−0.674−0.414+0.548
J3o−1.023−0.852−0.751−0.505+0.478
J2o−1.121−0.944−0.837−0.588+0.394
T9o−0.191−0.081+0.016+0.249+1.079
T8o−0.364−0.251−0.171+0.023+0.900
T7o−0.565−0.441−0.361−0.170+0.716
T6o−0.744−0.623−0.547−0.353+0.538
T5o−0.967−0.828−0.739−0.548+0.360
T4o−1.026−0.884−0.794−0.609+0.258
T3o−1.119−0.972−0.868−0.696+0.188
T2o−1.212−1.058−0.951−0.777+0.105
98o−0.320−0.246−0.182−0.032+0.713
97o−0.503−0.416−0.356−0.210+0.539
96o−0.673−0.589−0.532−0.384+0.370
95o−0.898−0.798−0.727−0.575+0.196
94o−1.127−1.016−0.940−0.785−0.007
93o−1.181−1.068−0.980−0.839−0.052
92o−1.273−1.153−1.063−0.919−0.131
87o−0.425−0.345−0.313−0.218+0.464
86o−0.591−0.513−0.481−0.379+0.299
85o−0.806−0.714−0.669−0.559+0.130
84o−1.036−0.932−0.882−0.770−0.063
83o−1.266−1.149−1.087−0.978−0.230
82o−1.320−1.200−1.135−1.027−0.284
76o−0.535−0.459−0.431−0.351+0.258
75o−0.741−0.648−0.609−0.527+0.094
74o−0.966−0.863−0.822−0.733−0.086
73o−1.199−1.083−1.028−0.942−0.253
72o−1.431−1.304−1.240−1.146−0.431
65o−0.651−0.572−0.545−0.476+0.091
64o−0.869−0.779−0.747−0.670−0.073
63o−1.100−0.998−0.952−0.878−0.238
62o−1.334−1.219−1.167−1.082−0.414
54o−0.772−0.681−0.641−0.584−0.016
53o−0.999−0.894−0.841−0.781−0.176
52o−1.228−1.111−1.052−0.983−0.347
43o−1.095−0.985−0.929−0.871−0.263
42o−1.325−1.202−1.138−1.072−0.431
32o−1.423−1.293−1.217−1.156−0.497

Reading the chart is the easy half. The trainer deals you real hands at 6 bb in a seat you choose and prices every wrong shove or call in big blinds.

Drill 6-max at 6 bb →
// what was solved, and what was assumed
  • 6-max, blinds 0.5 / 1, 1 bb big-blind ante (dead money, posted by the big blind). Every player starts the hand with the same stack, counted before posting, so the big blind has 1 bb less to play with.
  • The first player in may only shove or fold. Facing a shove, each player behind may only call or fold. No limps, no raises short of all-in.
  • Assumption: once one player calls, everyone behind folds. Three-way all-ins are left out of the model, because pricing them needs a 169×169×169 equity table. In real play a big blind sometimes overcalls with aces; here it cannot, so shoves into several players are priced slightly too well.
  • Assumption: players who folded held random cards. Card removal is applied between the shover and each possible caller, not for the hands that folded in front. One consequence: a seat's ranges depend only on the players left behind it, which is why every 6-max chart matches the 9-max chart for the seat with the same players behind it (6-max UTG is 9-max LJ; HJ through BB are the same seats).
  • Solved by fictitious play (linearly averaged) over a 169×169 all-in equity matrix from our engine, 200,000 sampled runouts per matchup, card removal corrected, 3,000 iterations per seat. Measured, not assumed: no seat, in any spot on these pages, could gain more than 0.003 mbb (thousandths of a big blind) per hand by deviating.
  • Checked against our heads-up table: the same solver run with two players and no ante reproduces the heads-up charts, with no disagreement bigger than 0.1 percentage points of equity.
  • EV is the aggressive action minus folding, in big blinds, against everyone else's equilibrium ranges. Chip EV only: no ICM, so near a bubble or a pay jump these ranges are too wide.
  • Raw data: 6max.json (summary) and one file per depth, e.g. 6max/10.json.