// push/fold charts · 21 bb

Heads-up push/fold at 21 bb

At 21 big blinds effective, the equilibrium small blind shoves 38.1% of hands and the big blind calls 20.8%. Both ranges below are solved, not remembered: each cell is read straight from the table the trainer grades you with, and every hand's EV is printed further down so you can check it.

Small blind: shove or fold

Shoves 38.1% of hands

always (≥80%) mixed, % shown never (≤20%)
22+, A2s+, K4s+, Q6s+, J7s+, T7s+, 96s+, 86s+, 75s+, 65s, 54s, A2o+, K9o+, QTo+, J9o+, T9o

Big blind: call the shove or fold

Calls 20.8% of hands

always (≥80%) mixed, % shown never (≤20%)
33+, A2s+, K9s+, QTs+, A6o+, KTo+

The closest decisions at 21 bb

These are the hands where shoving (or calling) and folding are worth the least different. At 21 bb the worst of them costs 0.359 bb to get wrong; getting the hands far from this list wrong is where the chips go.

Small blind

HandShove freqShove vs fold (bb)
Q5s50%+0.002
T6s7%−0.004
Q9o9%−0.005
K3s6%−0.007
98o4%−0.008
54s86%+0.017
85s0%−0.019
75s98%+0.031

Big blind

HandCall freqCall vs fold (bb)
A6o93%+0.008
QTs97%+0.023
K9s98%+0.061
33100%+0.102
KTo98%+0.115
A2s100%+0.116
A5o6%−0.138
A3s100%+0.359
All 169 hands at 21 bb: frequency and EV
HandSB shoveShove vs foldBB callCall vs fold
AA100%+3.773100%+15.484
KK100%+3.255100%+12.285
QQ100%+2.949100%+10.766
JJ100%+2.643100%+9.333
TT100%+2.344100%+7.904
99100%+2.027100%+6.188
88100%+1.783100%+4.835
77100%+1.552100%+3.754
66100%+1.335100%+2.752
55100%+1.134100%+1.820
44100%+0.924100%+0.894
33100%+0.730100%+0.102
22100%+0.5880%−0.720
AKs100%+2.352100%+7.418
AQs100%+2.080100%+6.511
AJs100%+1.835100%+5.774
ATs100%+1.597100%+4.969
A9s100%+1.257100%+3.634
A8s100%+1.049100%+2.631
A7s100%+0.871100%+1.912
A6s100%+0.719100%+1.221
A5s100%+0.732100%+1.076
A4s100%+0.666100%+0.646
A3s100%+0.612100%+0.359
A2s100%+0.561100%+0.116
KQs100%+1.025100%+2.602
KJs100%+0.797100%+1.932
KTs100%+0.585100%+1.265
K9s100%+0.32498%+0.061
K8s100%+0.1890%−0.895
K7s100%+0.1630%−1.150
K6s100%+0.1250%−1.440
K5s100%+0.1000%−1.774
K4s100%+0.0450%−2.085
K3s6%−0.0070%−2.314
K2s0%−0.0660%−2.570
QJs100%+0.55899%+0.656
QTs100%+0.47197%+0.023
Q9s100%+0.2960%−1.034
Q8s100%+0.1770%−1.744
Q7s99%+0.0450%−2.401
Q6s99%+0.0320%−2.573
Q5s50%+0.0020%−2.878
Q4s0%−0.0420%−3.138
Q3s0%−0.1010%−3.359
Q2s0%−0.1530%−3.583
JTs100%+0.4840%−0.555
J9s100%+0.3360%−1.664
J8s100%+0.2070%−2.406
J7s99%+0.0900%−3.010
J6s1%−0.0500%−3.656
J5s0%−0.0430%−3.769
J4s0%−0.0980%−4.016
J3s0%−0.1600%−4.271
J2s0%−0.2140%−4.515
T9s100%+0.3760%−2.040
T8s100%+0.2560%−2.635
T7s99%+0.1240%−3.287
T6s7%−0.0040%−3.845
T5s0%−0.1160%−4.474
T4s0%−0.1570%−4.652
T3s0%−0.2080%−4.852
T2s0%−0.2660%−5.121
98s100%+0.2890%−2.691
97s99%+0.1710%−3.304
96s99%+0.0440%−3.882
95s0%−0.0830%−4.537
94s0%−0.2290%−5.200
93s0%−0.2600%−5.306
92s0%−0.3190%−5.573
87s99%+0.2210%−3.073
86s99%+0.0970%−3.624
85s0%−0.0190%−4.244
84s0%−0.1720%−4.904
83s0%−0.3210%−5.535
82s0%−0.3450%−5.673
76s99%+0.1450%−3.490
75s98%+0.0310%−4.078
74s0%−0.1210%−4.758
73s0%−0.2700%−5.368
72s0%−0.4200%−6.043
65s99%+0.0870%−3.872
64s0%−0.0650%−4.487
63s0%−0.2170%−5.116
62s0%−0.3670%−5.802
54s86%+0.0170%−4.173
53s0%−0.1320%−4.793
52s0%−0.2850%−5.463
43s0%−0.2000%−5.041
42s0%−0.3480%−5.701
32s0%−0.4170%−5.937
AKo100%+2.227100%+6.679
AQo100%+1.923100%+5.695
AJo100%+1.659100%+4.894
ATo100%+1.409100%+4.045
A9o100%+1.042100%+2.635
A8o100%+0.812100%+1.534
A7o100%+0.620100%+0.774
A6o100%+0.45993%+0.008
A5o100%+0.4676%−0.138
A4o100%+0.4011%−0.585
A3o100%+0.3440%−0.875
A2o100%+0.2840%−1.167
KQo100%+0.784100%+1.534
KJo100%+0.540100%+0.825
KTo100%+0.31398%+0.115
K9o100%+0.0310%−1.201
K8o1%−0.1140%−2.198
K7o0%−0.1450%−2.460
K6o0%−0.1830%−2.794
K5o0%−0.2190%−3.173
K4o0%−0.2770%−3.490
K3o0%−0.3310%−3.742
K2o0%−0.3910%−4.008
QJo100%+0.2730%−0.527
QTo100%+0.1770%−1.218
Q9o9%−0.0050%−2.327
Q8o0%−0.1330%−3.072
Q7o0%−0.2700%−3.774
Q6o0%−0.2820%−3.974
Q5o0%−0.3080%−4.270
Q4o0%−0.3690%−4.577
Q3o0%−0.4360%−4.838
Q2o0%−0.4960%−5.095
JTo100%+0.1970%−1.808
J9o99%+0.0430%−2.982
J8o0%−0.0900%−3.773
J7o0%−0.2310%−4.466
J6o0%−0.3640%−5.087
J5o0%−0.3690%−5.235
J4o0%−0.4280%−5.518
J3o0%−0.4890%−5.756
J2o0%−0.5490%−6.020
T9o99%+0.0830%−3.367
T8o0%−0.0480%−4.034
T7o0%−0.1810%−4.704
T6o0%−0.3190%−5.299
T5o0%−0.4460%−5.980
T4o0%−0.4900%−6.165
T3o0%−0.5490%−6.395
T2o0%−0.6060%−6.671
98o4%−0.0080%−4.066
97o0%−0.1430%−4.743
96o0%−0.2710%−5.335
95o0%−0.4010%−6.000
94o0%−0.5630%−6.714
93o0%−0.5980%−6.825
92o0%−0.6550%−7.099
87o0%−0.0840%−4.472
86o0%−0.2110%−5.045
85o0%−0.3410%−5.679
84o0%−0.4980%−6.388
83o0%−0.6590%−7.064
82o0%−0.6970%−7.220
76o0%−0.1650%−4.916
75o0%−0.2890%−5.523
74o0%−0.4490%−6.228
73o0%−0.6150%−6.914
72o0%−0.7710%−7.633
65o0%−0.2260%−5.290
64o0%−0.3850%−5.945
63o0%−0.5480%−6.629
62o0%−0.7090%−7.339
54o0%−0.2950%−5.599
53o0%−0.4590%−6.238
52o0%−0.6240%−6.967
43o0%−0.5300%−6.505
42o0%−0.6880%−7.209
32o0%−0.7630%−7.462

Reading a chart is not the same as knowing it. The trainer deals you real hands at a depth you choose and prices every wrong answer in big blinds.

Drill push/fold →
// what was solved
  • Heads-up, blinds 0.5 / 1, no ante. Stacks are the effective stack in big blinds.
  • The small blind may only shove or fold; the big blind may only call or fold. No limps, no min-raises.
  • Solved by fictitious play over a 169×169 all-in equity matrix, 60,000 sampled runouts per matchup, card removal corrected. Every line ends all-in or folded, so there is no postflop model and no realisation fudge.
  • EV is the aggressive action minus folding, in big blinds, against the opponent's equilibrium range. Frequencies between 20% and 80% count as mixed, the same cut-offs the trainer grades with.
  • Raw data: pushfold.json (the exact file the trainer and these pages read).