Push range at 6 bb in the cutoff
It folds to you in the cutoff. You have 6 bb, the same stack as the button and both blinds still to act, with a big blind ante. The equilibrium (Nash, chip-EV) pushes 38.5% of hands and folds the rest.
Red: push. Blue: fold. Circled cell: borderline hand, push and fold are worth almost the same.
Key takeaways for this spot
- Push range: 22+, A2s+, A2o+, K2s+, K6o+, Q6s+, Q9o+, J7s+, JTo, T7s+, 97s+, 87s, i.e. 38.5% of hands (510 combos out of 1,326).
- Borderline hands, where push and fold are worth almost the same (less than 0.05 bb apart): K6o, J9o, Q5s, J7s, T9o, T7s, 97s.
- If the BTN is the only caller: they call 31.8% of hands (22+, A2s+, A2o+, K6s+, K3s, K7o+, Q8s+, QTo+, JTs, T9s).
- If the SB is the only caller: they call 37.6% of hands (22+, A2s+, A2o+, K2s+, K6o+, Q6s+, Q9o+, J8s+, JTo, T8s+, 98s, 87s).
- If the BB is the only caller: they call 67.1% of hands (22+, A2s+, A2o+, K2s+, K2o+, Q2s+, Q3o+, J3s+, J7o+, T3s+, T7o+, 95s+, 93s, 97o+, 83s+, 86o+, 73s+, 76o, 63s+, 65o, 53s+, 43s).
What changes at 5 bb (7 hands change)
- added: Q8o, J9o, Q5s, Q4s, T9o
- removed: 22, 87s
What changes at 8 bb (6 hands change)
- added: 86s, 76s, 65s
- removed: K7o, K6o, K2s
Frequently asked questions
What is the push range at 6 bb in the cutoff?
With a big blind ante and equal stacks, the equilibrium pushes 38.5% of hands: 22+, A2s+, A2o+, K2s+, K6o+, Q6s+, Q9o+, J7s+, JTo, T7s+, 97s+, 87s.
Should you push 87s in the cutoff at 6 bb?
Yes: against the equilibrium calling ranges, pushing earns 0.13 bb more than folding.
Should you push Q8o in the cutoff at 6 bb?
No: pushing loses 0.09 bb compared with folding against the equilibrium calling ranges.
What does the big blind call against this push?
67.1% of hands: 22+, A2s+, A2o+, K2s+, K2o+, Q2s+, Q3o+, J3s+, J7o+, T3s+, T7o+, 95s+, 93s, 97o+, 83s+, 86o+, 73s+, 76o, 63s+, 65o, 53s+, 43s.
Do these ranges apply on the bubble or at a final table?
No: here every chip is worth its face value (chip-EV). With pay jumps, ICM tightens push and call ranges; the “Jam or fold” solver computes these cases with your payout structure.
Nash equilibrium computed by the Exploit It solver in chip-EV: equal stacks, 1 bb big blind ante, folded to you. Each hand is classified by the sign of its EV against the equilibrium calling ranges. On the bubble or at a final table, ICM changes the ranges.