Cutoff Push/Fold Range at 20 BB with BB Ante (6-Max)
With a big blind ante, the Cutoff shoves 22% of hands at 20BB in 6-max — 10 percentage points wider than the 12% no-ante range.
Marginal hands on the threshold — 76s, QJo, 97s, JTo, KTo — can go either way; the Nash solution mixes them, so a consistent default (push or fold) is fine in practice.
The ante brings 23 more hands (126 of 1,326 combos) into the shoving range, including A8s, A7s, A6s, A5s, A4s, A3s, K9s, K8s.
20BB means every player starts the hand with 20 big blinds, before the blinds and the ante; the Big Blind pays the ante out of its own stack. The ranges are chip-EV Nash equilibria with no ICM, solved from 1 to 25bb against the Nash calling ranges of the players left to act. Cutoff 20BB chart with no ante
BB-ante ranges solved 2026-10-12 · data version 0.2.0 · How the ranges are computed
Hand Chart with BB Ante
Range legendPush alwaysMixedFold
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA | AKs | AQs | AJs | ATs | A9s | A8s | A7s | A6s | A5s | A4s | A3s | A2s |
| K | AKo | KK | KQs | KJs | KTs | K9s | K8s | K7s | K6s | K5s | K4s | K3s | K2s |
| Q | AQo | KQo | QJs | QTs | Q9s | Q8s | Q7s | Q6s | Q5s | Q4s | Q3s | Q2s | |
| J | AJo | KJo | QJo | JJ | JTs | J9s | J8s | J7s | J6s | J5s | J4s | J3s | J2s |
| T | ATo | KTo | QTo | JTo | TT | T9s | T8s | T7s | T6s | T5s | T4s | T3s | T2s |
| 9 | A9o | K9o | Q9o | J9o | T9o | 99 | 98s | 97s | 96s | 95s | 94s | 93s | 92s |
| 8 | A8o | K8o | Q8o | J8o | T8o | 98o | 88 | 87s | 86s | 85s | 84s | 83s | 82s |
| 7 | A7o | K7o | Q7o | J7o | T7o | 97o | 87o | 77 | 76s | 75s | 74s | 73s | 72s |
| 6 | A6o | K6o | Q6o | J6o | T6o | 96o | 86o | 76o | 66 | 65s | 64s | 63s | 62s |
| 5 | A5o | K5o | Q5o | J5o | T5o | 95o | 85o | 75o | 65o | 55 | 54s | 53s | 52s |
| 4 | A4o | K4o | Q4o | J4o | T4o | 94o | 84o | 74o | 64o | 54o | 44 | 43s | 42s |
| 3 | A3o | K3o | Q3o | J3o | T3o | 93o | 83o | 73o | 63o | 53o | 43o | 33 | 32s |
| 2 | A2o | K2o | Q2o | J2o | T2o | 92o | 82o | 72o | 62o | 52o | 42o | 32o | 22 |
Top-left = strongest hands (AA), pairs on the diagonal. Upper-right = suited, lower-left = offsuit. Brighter green = always push. Dim = fold.
BB ante vs no ante
| Cutoff, 20BB (6-Max) | Dead money | Hands shoved |
|---|---|---|
| BB ante | 2.5bb | 22% |
| No ante | 1.5bb | 12% |
Hands the ante adds — open one for its no-ante verdicts
Nearby stacks with BB ante
Other positions at 20BB with BB ante (6-Max)
Cutoff 20BB with BB ante — FAQ
What percentage of hands should the Cutoff push at 20BB (6-Max) with a BB ante?
The Cutoff pushes 22% of hands at 20BB (6-Max) with a big blind ante. The most marginal hands at this frequency are 76s, QJo, 97s, JTo, KTo.
How much wider does the Cutoff shove at 20BB with a big blind ante?
10 percentage points: 22% of hands with the ante against 12% without it. The ante brings 23 more hands (126 of 1,326 combos) into the shoving range, including A8s, A7s, A6s, A5s, A4s, A3s, K9s, K8s.
Is 76s a shove from the Cutoff at 20BB with a BB ante?
It is a mix: with a big blind ante the Nash solution shoves 76s 50% of the time from the Cutoff at 20BB in 6-max. With no ante the same hand is shoved 0% of the time.
What does this chart assume about the ante and stack size?
With a big blind ante the Big Blind posts 1 extra big blind for the whole table, so 2.5bb is in the pot before anyone acts instead of 1.5bb. 20BB means every player starts the hand with 20 big blinds, before the blinds and the ante; the Big Blind pays the ante out of its own stack. The ranges are chip-EV Nash equilibria with no ICM, solved from 1 to 25bb against the Nash calling ranges of the players left to act.
Drill these spots in the free trainer, with the BB-ante switch already on.
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