// push/fold charts · 9-max · 2 bb

9-max push/fold at 2 bb

At 2 big blinds with a 1 bb big-blind ante, the equilibrium open-shoves 100.0% of hands from UTG, widening to 100.0% 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 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

UTG+1

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

UTG+2

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

LJ

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

HJ

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

CO

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

BTN

shoves 98.2% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 43o

SB

shoves 100.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
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 100.0% against a BTN shove of 98.2%

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

Call vs fold, closest hands

BB facing BTN: the hands nearest indifference

HandCall freqCall vs fold (bb)
32o100%+1.123
42o100%+1.153
62o100%+1.177
52o100%+1.187
72o100%+1.194
43o100%+1.220
63o100%+1.247
32s100%+1.253
53o100%+1.256
73o100%+1.264
22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o

Every calling range at 2 bb

SpotCallsRange
UTG+1 vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
UTG+2 vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
LJ vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
HJ vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
CO vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs UTG100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
UTG+2 vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
LJ vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
HJ vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
CO vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs UTG+1100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
LJ vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
HJ vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
CO vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs UTG+2100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
HJ vs LJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
CO vs LJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs LJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs LJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs LJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
CO vs HJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs HJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs HJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs HJ100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BTN vs CO100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs CO100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs CO100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
SB vs BTN100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs BTN100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
BB vs SB100.0%22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 82s+, 72s+, 62s+, 52s+, 42s+, 32s, A2o+, K2o+, Q2o+, J2o+, T2o+, 92o+, 82o+, 72o+, 62o+, 52o+, 42o+, 32o
All 169 hands at 2 bb: shove EV by seat
HandUTGUTG+1UTG+2LJHJCOBTNSB
AA+3.539+3.539+3.539+3.539+3.539+3.539+3.113+2.057
KK+3.357+3.357+3.357+3.357+3.357+3.357+2.944+1.972
QQ+3.195+3.195+3.195+3.195+3.195+3.195+2.796+1.898
JJ+3.034+3.034+3.034+3.034+3.034+3.034+2.647+1.824
TT+2.876+2.876+2.876+2.876+2.876+2.876+2.501+1.750
99+2.683+2.683+2.683+2.683+2.683+2.683+2.322+1.661
88+2.495+2.495+2.495+2.495+2.495+2.495+2.149+1.575
77+2.306+2.306+2.306+2.306+2.306+2.306+1.975+1.487
66+2.112+2.112+2.112+2.112+2.112+2.112+1.796+1.398
55+1.921+1.921+1.921+1.921+1.921+1.921+1.620+1.310
44+1.707+1.707+1.707+1.707+1.707+1.707+1.422+1.211
33+1.490+1.490+1.490+1.490+1.490+1.490+1.221+1.111
22+1.271+1.271+1.271+1.271+1.271+1.271+1.020+1.010
AKs+2.358+2.358+2.358+2.358+2.358+2.358+2.023+1.512
AQs+2.304+2.304+2.304+2.304+2.304+2.304+1.973+1.486
AJs+2.250+2.250+2.250+2.250+2.250+2.250+1.923+1.461
ATs+2.200+2.200+2.200+2.200+2.200+2.200+1.877+1.438
A9s+2.080+2.080+2.080+2.080+2.080+2.080+1.766+1.383
A8s+2.027+2.027+2.027+2.027+2.027+2.027+1.717+1.359
A7s+1.965+1.965+1.965+1.965+1.965+1.965+1.660+1.330
A6s+1.894+1.894+1.894+1.894+1.894+1.894+1.594+1.297
A5s+1.895+1.895+1.895+1.895+1.895+1.895+1.595+1.298
A4s+1.837+1.837+1.837+1.837+1.837+1.837+1.542+1.271
A3s+1.784+1.784+1.784+1.784+1.784+1.784+1.493+1.247
A2s+1.729+1.729+1.729+1.729+1.729+1.729+1.442+1.221
KQs+2.121+2.121+2.121+2.121+2.121+2.121+1.804+1.402
KJs+2.068+2.068+2.068+2.068+2.068+2.068+1.755+1.378
KTs+2.017+2.017+2.017+2.017+2.017+2.017+1.708+1.354
K9s+1.900+1.900+1.900+1.900+1.900+1.900+1.600+1.300
K8s+1.790+1.790+1.790+1.790+1.790+1.790+1.498+1.249
K7s+1.739+1.739+1.739+1.739+1.739+1.739+1.451+1.226
K6s+1.681+1.681+1.681+1.681+1.681+1.681+1.398+1.199
K5s+1.628+1.628+1.628+1.628+1.628+1.628+1.349+1.174
K4s+1.568+1.568+1.568+1.568+1.568+1.568+1.294+1.147
K3s+1.514+1.514+1.514+1.514+1.514+1.514+1.244+1.122
K2s+1.458+1.458+1.458+1.458+1.458+1.458+1.192+1.096
QJs+1.915+1.915+1.915+1.915+1.915+1.915+1.614+1.307
QTs+1.864+1.864+1.864+1.864+1.864+1.864+1.567+1.283
Q9s+1.748+1.748+1.748+1.748+1.748+1.748+1.460+1.230
Q8s+1.642+1.642+1.642+1.642+1.642+1.642+1.362+1.181
Q7s+1.530+1.530+1.530+1.530+1.530+1.530+1.259+1.129
Q6s+1.484+1.484+1.484+1.484+1.484+1.484+1.216+1.108
Q5s+1.430+1.430+1.430+1.430+1.430+1.430+1.166+1.083
Q4s+1.371+1.371+1.371+1.371+1.371+1.371+1.111+1.056
Q3s+1.316+1.316+1.316+1.316+1.316+1.316+1.061+1.030
Q2s+1.261+1.261+1.261+1.261+1.261+1.261+1.010+1.005
JTs+1.740+1.740+1.740+1.740+1.740+1.740+1.452+1.226
J9s+1.618+1.618+1.618+1.618+1.618+1.618+1.339+1.170
J8s+1.510+1.510+1.510+1.510+1.510+1.510+1.240+1.120
J7s+1.401+1.401+1.401+1.401+1.401+1.401+1.139+1.070
J6s+1.290+1.290+1.290+1.290+1.290+1.290+1.037+1.018
J5s+1.249+1.249+1.249+1.249+1.249+1.249+0.999+0.999
J4s+1.189+1.189+1.189+1.189+1.189+1.189+0.944+0.972
J3s+1.136+1.136+1.136+1.136+1.136+1.136+0.894+0.947
J2s+1.080+1.080+1.080+1.080+1.080+1.080+0.844+0.922
T9s+1.512+1.512+1.512+1.512+1.512+1.512+1.242+1.121
T8s+1.402+1.402+1.402+1.402+1.402+1.402+1.140+1.070
T7s+1.291+1.291+1.291+1.291+1.291+1.291+1.038+1.019
T6s+1.181+1.181+1.181+1.181+1.181+1.181+0.937+0.968
T5s+1.069+1.069+1.069+1.069+1.069+1.069+0.833+0.916
T4s+1.025+1.025+1.025+1.025+1.025+1.025+0.793+0.896
T3s+0.969+0.969+0.969+0.969+0.969+0.969+0.741+0.870
T2s+0.915+0.915+0.915+0.915+0.915+0.915+0.691+0.845
98s+1.302+1.302+1.302+1.302+1.302+1.302+1.048+1.024
97s+1.193+1.193+1.193+1.193+1.193+1.193+0.948+0.974
96s+1.082+1.082+1.082+1.082+1.082+1.082+0.845+0.923
95s+0.970+0.970+0.970+0.970+0.970+0.970+0.742+0.871
94s+0.850+0.850+0.850+0.850+0.850+0.850+0.631+0.816
93s+0.813+0.813+0.813+0.813+0.813+0.813+0.596+0.798
92s+0.757+0.757+0.757+0.757+0.757+0.757+0.545+0.772
87s+1.117+1.117+1.117+1.117+1.117+1.117+0.877+0.939
86s+1.006+1.006+1.006+1.006+1.006+1.006+0.775+0.887
85s+0.896+0.896+0.896+0.896+0.896+0.896+0.673+0.837
84s+0.777+0.777+0.777+0.777+0.777+0.777+0.563+0.781
83s+0.657+0.657+0.657+0.657+0.657+0.657+0.453+0.726
82s+0.618+0.618+0.618+0.618+0.618+0.618+0.417+0.708
76s+0.949+0.949+0.949+0.949+0.949+0.949+0.722+0.861
75s+0.839+0.839+0.839+0.839+0.839+0.839+0.621+0.810
74s+0.719+0.719+0.719+0.719+0.719+0.719+0.510+0.755
73s+0.603+0.603+0.603+0.603+0.603+0.603+0.403+0.701
72s+0.480+0.480+0.480+0.480+0.480+0.480+0.289+0.645
65s+0.804+0.804+0.804+0.804+0.804+0.804+0.588+0.794
64s+0.687+0.687+0.687+0.687+0.687+0.687+0.480+0.740
63s+0.570+0.570+0.570+0.570+0.570+0.570+0.372+0.686
62s+0.449+0.449+0.449+0.449+0.449+0.449+0.261+0.630
54s+0.695+0.695+0.695+0.695+0.695+0.695+0.487+0.744
53s+0.581+0.581+0.581+0.581+0.581+0.581+0.383+0.691
52s+0.460+0.460+0.460+0.460+0.460+0.460+0.271+0.636
43s+0.512+0.512+0.512+0.512+0.512+0.512+0.319+0.660
42s+0.394+0.394+0.394+0.394+0.394+0.394+0.210+0.605
32s+0.339+0.339+0.339+0.339+0.339+0.339+0.159+0.580
AKo+2.246+2.246+2.246+2.246+2.246+2.246+1.919+1.460
AQo+2.187+2.187+2.187+2.187+2.187+2.187+1.865+1.433
AJo+2.130+2.130+2.130+2.130+2.130+2.130+1.813+1.406
ATo+2.076+2.076+2.076+2.076+2.076+2.076+1.763+1.381
A9o+1.950+1.950+1.950+1.950+1.950+1.950+1.647+1.323
A8o+1.892+1.892+1.892+1.892+1.892+1.892+1.592+1.296
A7o+1.823+1.823+1.823+1.823+1.823+1.823+1.529+1.265
A6o+1.749+1.749+1.749+1.749+1.749+1.749+1.461+1.230
A5o+1.749+1.749+1.749+1.749+1.749+1.749+1.460+1.230
A4o+1.687+1.687+1.687+1.687+1.687+1.687+1.404+1.202
A3o+1.630+1.630+1.630+1.630+1.630+1.630+1.351+1.175
A2o+1.570+1.570+1.570+1.570+1.570+1.570+1.296+1.148
KQo+1.995+1.995+1.995+1.995+1.995+1.995+1.687+1.344
KJo+1.937+1.937+1.937+1.937+1.937+1.937+1.634+1.317
KTo+1.883+1.883+1.883+1.883+1.883+1.883+1.584+1.292
K9o+1.758+1.758+1.758+1.758+1.758+1.758+1.469+1.234
K8o+1.642+1.642+1.642+1.642+1.642+1.642+1.361+1.181
K7o+1.587+1.587+1.587+1.587+1.587+1.587+1.311+1.156
K6o+1.524+1.524+1.524+1.524+1.524+1.524+1.253+1.127
K5o+1.466+1.466+1.466+1.466+1.466+1.466+1.199+1.100
K4o+1.401+1.401+1.401+1.401+1.401+1.401+1.139+1.070
K3o+1.343+1.343+1.343+1.343+1.343+1.343+1.086+1.043
K2o+1.284+1.284+1.284+1.284+1.284+1.284+1.031+1.016
QJo+1.779+1.779+1.779+1.779+1.779+1.779+1.489+1.244
QTo+1.723+1.723+1.723+1.723+1.723+1.723+1.436+1.218
Q9o+1.599+1.599+1.599+1.599+1.599+1.599+1.322+1.161
Q8o+1.485+1.485+1.485+1.485+1.485+1.485+1.217+1.108
Q7o+1.363+1.363+1.363+1.363+1.363+1.363+1.105+1.052
Q6o+1.316+1.316+1.316+1.316+1.316+1.316+1.061+1.030
Q5o+1.258+1.258+1.258+1.258+1.258+1.258+1.007+1.004
Q4o+1.193+1.193+1.193+1.193+1.193+1.193+0.947+0.974
Q3o+1.134+1.134+1.134+1.134+1.134+1.134+0.893+0.947
Q2o+1.074+1.074+1.074+1.074+1.074+1.074+0.837+0.919
JTo+1.591+1.591+1.591+1.591+1.591+1.591+1.315+1.158
J9o+1.461+1.461+1.461+1.461+1.461+1.461+1.195+1.098
J8o+1.348+1.348+1.348+1.348+1.348+1.348+1.091+1.045
J7o+1.229+1.229+1.229+1.229+1.229+1.229+0.981+0.990
J6o+1.111+1.111+1.111+1.111+1.111+1.111+0.871+0.936
J5o+1.068+1.068+1.068+1.068+1.068+1.068+0.832+0.916
J4o+1.002+1.002+1.002+1.002+1.002+1.002+0.771+0.886
J3o+0.943+0.943+0.943+0.943+0.943+0.943+0.716+0.858
J2o+0.882+0.882+0.882+0.882+0.882+0.882+0.661+0.830
T9o+1.350+1.350+1.350+1.350+1.350+1.350+1.092+1.046
T8o+1.233+1.233+1.233+1.233+1.233+1.233+0.985+0.992
T7o+1.115+1.115+1.115+1.115+1.115+1.115+0.875+0.938
T6o+0.996+0.996+0.996+0.996+0.996+0.996+0.766+0.883
T5o+0.877+0.877+0.877+0.877+0.877+0.877+0.656+0.828
T4o+0.828+0.828+0.828+0.828+0.828+0.828+0.611+0.805
T3o+0.769+0.769+0.769+0.769+0.769+0.769+0.556+0.778
T2o+0.708+0.708+0.708+0.708+0.708+0.708+0.500+0.750
98o+1.127+1.127+1.127+1.127+1.127+1.127+0.886+0.943
97o+1.010+1.010+1.010+1.010+1.010+1.010+0.778+0.889
96o+0.893+0.893+0.893+0.893+0.893+0.893+0.670+0.835
95o+0.773+0.773+0.773+0.773+0.773+0.773+0.560+0.780
94o+0.644+0.644+0.644+0.644+0.644+0.644+0.440+0.720
93o+0.602+0.602+0.602+0.602+0.602+0.602+0.401+0.701
92o+0.542+0.542+0.542+0.542+0.542+0.542+0.347+0.673
87o+0.928+0.928+0.928+0.928+0.928+0.928+0.703+0.852
86o+0.811+0.811+0.811+0.811+0.811+0.811+0.595+0.797
85o+0.693+0.693+0.693+0.693+0.693+0.693+0.486+0.743
84o+0.564+0.564+0.564+0.564+0.564+0.564+0.367+0.683
83o+0.436+0.436+0.436+0.436+0.436+0.436+0.249+0.624
82o+0.393+0.393+0.393+0.393+0.393+0.393+0.209+0.605
76o+0.751+0.751+0.751+0.751+0.751+0.751+0.539+0.770
75o+0.633+0.633+0.633+0.633+0.633+0.633+0.431+0.715
74o+0.505+0.505+0.505+0.505+0.505+0.505+0.312+0.656
73o+0.378+0.378+0.378+0.378+0.378+0.378+0.195+0.598
72o+0.247+0.247+0.247+0.247+0.247+0.247+0.074+0.537
65o+0.595+0.595+0.595+0.595+0.595+0.595+0.396+0.698
64o+0.471+0.471+0.471+0.471+0.471+0.471+0.281+0.640
63o+0.345+0.345+0.345+0.345+0.345+0.345+0.164+0.582
62o+0.215+0.215+0.215+0.215+0.215+0.215+0.044+0.522
54o+0.480+0.480+0.480+0.480+0.480+0.480+0.290+0.645
53o+0.357+0.357+0.357+0.357+0.357+0.357+0.176+0.588
52o+0.229+0.229+0.229+0.229+0.229+0.229+0.058+0.529
43o+0.284+0.284+0.284+0.284+0.284+0.284+0.109+0.554
42o+0.157+0.157+0.157+0.157+0.157+0.157−0.009+0.496
32o+0.100+0.100+0.100+0.100+0.100+0.100−0.062+0.469

Reading the chart is the easy half. The trainer deals you real hands at 2 bb in a seat you choose and prices every wrong shove or call in big blinds.

Drill 9-max at 2 bb →
// what was solved, and what was assumed
  • 9-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 0.000 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: 9max.json (summary) and one file per depth, e.g. 9max/10.json.