// push/fold charts · 4 bb
Heads-up push/fold at 4 bb
At 4 big blinds effective, the equilibrium small blind shoves 73.8% of hands and the big blind calls 73.7%. 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 73.8% of hands
AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22
always (≥80%) mixed, % shown never (≤20%)
22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 93s+, 84s+, 74s+, 64s+, 54s, A2o+, K2o+, Q2o+, J2o+, T5o+, 96o+, 86o+, 76oBig blind: call the shove or fold
Calls 73.7% of hands
AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o51%95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22
always (≥80%) mixed, % shown never (≤20%)
22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 93s+, 84s+, 74s+, 64s+, 53s+, A2o+, K2o+, Q2o+, J2o+, T5o+, 96o+, 86o+, 76oThe closest decisions at 4 bb
These are the hands where shoving (or calling) and folding are worth the least different. At 4 bb the worst of them costs 0.038 bb to get wrong; getting the hands far from this list wrong is where the chips go.
Small blind
| Hand | Shove freq | Shove vs fold (bb) |
|---|---|---|
| 53s | 15% | 0.000 |
| 92s | 0% | −0.012 |
| T4o | 1% | −0.016 |
| T5o | 100% | +0.019 |
| 93s | 100% | +0.030 |
| 84s | 99% | +0.036 |
| 76o | 99% | +0.036 |
| 74s | 99% | +0.038 |
Big blind
| Hand | Call freq | Call vs fold (bb) |
|---|---|---|
| T5o | 51% | 0.000 |
| 76o | 100% | +0.011 |
| 53s | 100% | +0.015 |
| 92s | 1% | −0.021 |
| 86o | 100% | +0.024 |
| 93s | 100% | +0.032 |
| 43s | 0% | −0.034 |
| 84s | 100% | +0.036 |
All 169 hands at 4 bb: frequency and EV
| Hand | SB shove | Shove vs fold | BB call | Call vs fold |
|---|---|---|---|---|
| AA | 100% | +2.790 | 100% | +3.808 |
| KK | 100% | +2.575 | 100% | +3.507 |
| 100% | +2.377 | 100% | +3.231 | |
| JJ | 100% | +2.175 | 100% | +2.949 |
| TT | 100% | +2.003 | 100% | +2.690 |
| 99 | 100% | +1.814 | 100% | +2.425 |
| 88 | 100% | +1.631 | 100% | +2.176 |
| 77 | 100% | +1.454 | 100% | +1.936 |
| 66 | 100% | +1.280 | 100% | +1.701 |
| 55 | 100% | +1.114 | 100% | +1.486 |
| 44 | 100% | +0.957 | 100% | +1.279 |
| 33 | 100% | +0.810 | 100% | +1.095 |
| 22 | 100% | +0.666 | 100% | +0.912 |
| AKs | 100% | +1.758 | 100% | +2.363 |
| AQs | 100% | +1.687 | 100% | +2.265 |
| AJs | 100% | +1.620 | 100% | +2.171 |
| ATs | 100% | +1.540 | 100% | +2.061 |
| A9s | 100% | +1.410 | 100% | +1.877 |
| A8s | 100% | +1.350 | 100% | +1.795 |
| A7s | 100% | +1.280 | 100% | +1.700 |
| A6s | 100% | +1.213 | 100% | +1.607 |
| A5s | 100% | +1.184 | 100% | +1.574 |
| A4s | 100% | +1.130 | 100% | +1.499 |
| A3s | 100% | +1.087 | 100% | +1.441 |
| A2s | 100% | +1.044 | 100% | +1.387 |
| KQs | 100% | +1.459 | 100% | +1.947 |
| KJs | 100% | +1.388 | 100% | +1.848 |
| KTs | 100% | +1.311 | 100% | +1.745 |
| K9s | 100% | +1.185 | 100% | +1.568 |
| K8s | 100% | +1.068 | 100% | +1.408 |
| K7s | 100% | +1.011 | 100% | +1.329 |
| K6s | 100% | +0.953 | 100% | +1.250 |
| K5s | 100% | +0.873 | 100% | +1.151 |
| K4s | 100% | +0.821 | 100% | +1.080 |
| K3s | 100% | +0.775 | 100% | +1.020 |
| K2s | 100% | +0.731 | 100% | +0.965 |
| QJs | 100% | +1.190 | 100% | +1.572 |
| QTs | 100% | +1.117 | 100% | +1.475 |
| Q9s | 100% | +0.986 | 100% | +1.295 |
| Q8s | 100% | +0.871 | 100% | +1.137 |
| Q7s | 100% | +0.758 | 100% | +0.981 |
| Q6s | 100% | +0.709 | 100% | +0.916 |
| Q5s | 100% | +0.633 | 100% | +0.824 |
| Q4s | 100% | +0.579 | 100% | +0.752 |
| Q3s | 100% | +0.533 | 100% | +0.693 |
| Q2s | 100% | +0.493 | 100% | +0.644 |
| JTs | 100% | +0.951 | 100% | +1.245 |
| J9s | 100% | +0.818 | 100% | +1.064 |
| J8s | 100% | +0.701 | 100% | +0.904 |
| J7s | 100% | +0.591 | 100% | +0.753 |
| J6s | 100% | +0.474 | 100% | +0.592 |
| J5s | 100% | +0.414 | 100% | +0.526 |
| J4s | 100% | +0.361 | 100% | +0.457 |
| J3s | 100% | +0.311 | 100% | +0.394 |
| J2s | 100% | +0.271 | 100% | +0.344 |
| T9s | 100% | +0.672 | 100% | +0.875 |
| T8s | 100% | +0.559 | 100% | +0.723 |
| T7s | 100% | +0.449 | 100% | +0.571 |
| T6s | 100% | +0.342 | 100% | +0.425 |
| T5s | 100% | +0.221 | 100% | +0.273 |
| T4s | 100% | +0.187 | 100% | +0.232 |
| T3s | 100% | +0.143 | 100% | +0.179 |
| T2s | 100% | +0.100 | 100% | +0.127 |
| 98s | 100% | +0.485 | 100% | +0.618 |
| 97s | 100% | +0.377 | 100% | +0.470 |
| 96s | 100% | +0.273 | 100% | +0.329 |
| 95s | 100% | +0.161 | 100% | +0.192 |
| 94s | 100% | +0.061 | 100% | +0.066 |
| 93s | 100% | +0.030 | 100% | +0.032 |
| 92s | 0% | −0.012 | 1% | −0.021 |
| 87s | 100% | +0.341 | 100% | +0.425 |
| 86s | 100% | +0.241 | 100% | +0.289 |
| 85s | 100% | +0.138 | 100% | +0.164 |
| 84s | 99% | +0.036 | 100% | +0.036 |
| 83s | 0% | −0.064 | 0% | −0.093 |
| 82s | 0% | −0.091 | 0% | −0.124 |
| 76s | 100% | +0.232 | 100% | +0.278 |
| 75s | 100% | +0.140 | 100% | +0.168 |
| 74s | 99% | +0.038 | 100% | +0.040 |
| 73s | 0% | −0.061 | 0% | −0.088 |
| 72s | 0% | −0.163 | 0% | −0.218 |
| 65s | 100% | +0.155 | 100% | +0.189 |
| 64s | 99% | +0.058 | 100% | +0.068 |
| 63s | 0% | −0.040 | 0% | −0.059 |
| 62s | 0% | −0.144 | 0% | −0.192 |
| 54s | 100% | +0.097 | 100% | +0.138 |
| 53s | 15% | 0.000 | 100% | +0.015 |
| 52s | 0% | −0.101 | 0% | −0.114 |
| 43s | 0% | −0.044 | 0% | −0.034 |
| 42s | 0% | −0.141 | 0% | −0.160 |
| 32s | 0% | −0.187 | 0% | −0.211 |
| AKo | 100% | +1.661 | 100% | +2.228 |
| AQo | 100% | +1.587 | 100% | +2.125 |
| AJo | 100% | +1.512 | 100% | +2.020 |
| ATo | 100% | +1.425 | 100% | +1.902 |
| A9o | 100% | +1.286 | 100% | +1.707 |
| A8o | 100% | +1.219 | 100% | +1.615 |
| A7o | 100% | +1.147 | 100% | +1.516 |
| A6o | 100% | +1.072 | 100% | +1.413 |
| A5o | 100% | +1.039 | 100% | +1.376 |
| A4o | 100% | +0.982 | 100% | +1.298 |
| A3o | 100% | +0.938 | 100% | +1.239 |
| A2o | 100% | +0.889 | 100% | +1.178 |
| KQo | 100% | +1.340 | 100% | +1.781 |
| KJo | 100% | +1.267 | 100% | +1.678 |
| KTo | 100% | +1.186 | 100% | +1.571 |
| K9o | 100% | +1.048 | 100% | +1.379 |
| K8o | 100% | +0.922 | 100% | +1.207 |
| K7o | 100% | +0.863 | 100% | +1.127 |
| K6o | 100% | +0.797 | 100% | +1.036 |
| K5o | 100% | +0.711 | 100% | +0.931 |
| K4o | 100% | +0.653 | 100% | +0.853 |
| K3o | 100% | +0.605 | 100% | +0.790 |
| K2o | 100% | +0.558 | 100% | +0.731 |
| QJo | 100% | +1.057 | 100% | +1.385 |
| QTo | 100% | +0.977 | 100% | +1.282 |
| Q9o | 100% | +0.838 | 100% | +1.092 |
| Q8o | 100% | +0.717 | 100% | +0.926 |
| Q7o | 100% | +0.593 | 100% | +0.755 |
| Q6o | 100% | +0.542 | 100% | +0.686 |
| Q5o | 100% | +0.460 | 100% | +0.589 |
| Q4o | 100% | +0.401 | 100% | +0.511 |
| Q3o | 100% | +0.348 | 100% | +0.443 |
| Q2o | 100% | +0.303 | 100% | +0.388 |
| JTo | 100% | +0.801 | 100% | +1.040 |
| J9o | 100% | +0.657 | 100% | +0.843 |
| J8o | 100% | +0.536 | 100% | +0.677 |
| J7o | 100% | +0.412 | 100% | +0.507 |
| J6o | 100% | +0.292 | 100% | +0.342 |
| J5o | 100% | +0.226 | 100% | +0.271 |
| J4o | 100% | +0.166 | 100% | +0.192 |
| J3o | 100% | +0.116 | 100% | +0.130 |
| J2o | 100% | +0.068 | 100% | +0.071 |
| T9o | 100% | +0.505 | 100% | +0.649 |
| T8o | 100% | +0.382 | 100% | +0.481 |
| T7o | 100% | +0.264 | 100% | +0.320 |
| T6o | 100% | +0.148 | 100% | +0.161 |
| T5o | 100% | +0.019 | 51% | 0.000 |
| T4o | 1% | −0.016 | 1% | −0.043 |
| T3o | 0% | −0.066 | 1% | −0.103 |
| T2o | 0% | −0.112 | 0% | −0.158 |
| 98o | 100% | +0.305 | 100% | +0.373 |
| 97o | 100% | +0.189 | 100% | +0.216 |
| 96o | 100% | +0.078 | 100% | +0.064 |
| 95o | 0% | −0.041 | 1% | −0.082 |
| 94o | 0% | −0.150 | 0% | −0.219 |
| 93o | 0% | −0.183 | 0% | −0.256 |
| 92o | 0% | −0.228 | 0% | −0.309 |
| 87o | 100% | +0.155 | 100% | +0.172 |
| 86o | 100% | +0.046 | 100% | +0.024 |
| 85o | 0% | −0.063 | 0% | −0.109 |
| 84o | 0% | −0.172 | 0% | −0.245 |
| 83o | 0% | −0.284 | 0% | −0.387 |
| 82o | 0% | −0.310 | 0% | −0.415 |
| 76o | 99% | +0.036 | 100% | +0.011 |
| 75o | 0% | −0.062 | 0% | −0.106 |
| 74o | 0% | −0.169 | 0% | −0.241 |
| 73o | 0% | −0.280 | 0% | −0.381 |
| 72o | 0% | −0.390 | 0% | −0.521 |
| 65o | 0% | −0.046 | 0% | −0.083 |
| 64o | 0% | −0.150 | 0% | −0.214 |
| 63o | 0% | −0.257 | 0% | −0.349 |
| 62o | 0% | −0.366 | 0% | −0.488 |
| 54o | 0% | −0.109 | 0% | −0.138 |
| 53o | 0% | −0.212 | 0% | −0.265 |
| 52o | 0% | −0.322 | 0% | −0.406 |
| 43o | 0% | −0.261 | 0% | −0.321 |
| 42o | 0% | −0.365 | 0% | −0.455 |
| 32o | 0% | −0.413 | 0% | −0.508 |
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).