Push range at 20 bb in the cutoff
It folds to you in the cutoff. You have 20 bb, the same stack as the button and both blinds still to act, with a big blind ante. The equilibrium (Nash, chip-EV) pushes 25.5% 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+, A8o+, K6s+, KTo+, Q8s+, QTo+, J9s+, JTo, T8s+, 98s, 87s, i.e. 25.5% of hands (338 combos out of 1,326).
- Borderline hands, where push and fold are worth almost the same (less than 0.05 bb apart): KTo, K6s, JTo, J8s, 98s, 87s.
- If the BTN is the only caller: they call 10.9% of hands (55+, A9s+, ATo+, KQs, KQo).
- If the SB is the only caller: they call 12.1% of hands (55+, A8s+, A9o+, KQs, KQo).
- If the BB is the only caller: they call 12.8% of hands (44+, A8s+, A9o+, KJs+, KQo).
What changes at 15 bb (6 hands change)
- added: A7o, A6o, A5o, A4o, A3o, J8s
Frequently asked questions
What is the push range at 20 bb in the cutoff?
With a big blind ante and equal stacks, the equilibrium pushes 25.5% of hands: 22+, A2s+, A8o+, K6s+, KTo+, Q8s+, QTo+, J9s+, JTo, T8s+, 98s, 87s.
Should you push 87s in the cutoff at 20 bb?
Yes: against the equilibrium calling ranges, pushing earns 0.03 bb more than folding.
Should you push A7o in the cutoff at 20 bb?
No: pushing loses 0.06 bb compared with folding against the equilibrium calling ranges.
What does the big blind call against this push?
12.8% of hands: 44+, A8s+, A9o+, KJs+, KQo.
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.