poker.yoga

Push or fold charts

Which hands to move all-in with when the pot is unopened and the stack is short — by seat, from 5 to 20 big blinds, and heads-up. Solved here, published as text.

A push or fold chart says, for one stack depth and one seat, which hands go all-in in an unopened pot and which go in the muck. Below roughly fifteen big blinds this is not a simplification of strategy — it is the whole of it, because there is no stack left to play a flop with.

Every chart below is solved on this site and published twice: as a grid you can read at a glance, and as one line of range notation you can copy, paste or have read aloud.

How wide each seat shoves, by stack depth

The share of all starting hands each seat moves all-in with at equilibrium, in an unopened pot. The last column is how often the big blind calls a button jam.

Equilibrium shoving frequency by seat and stack depth, with the big blind's calling frequency against a button shove
StackUTGMPCOBTNSBBB calls BTN
5 bb24.3%27.3%31.8%38.5%68.9%43.6%
8 bb15.4%20.7%27.6%33.6%59.6%27.9%
10 bb13.1%17.5%24.9%32.1%56.6%22.2%
12 bb12.4%13.7%22.5%30.6%51.1%18.9%
15 bb8.5%12.7%17.2%27.0%43.3%15.4%
20 bb6.5%8.5%13.4%24.3%39.1%12.4%

Percentages count combinations, not hand types, so an offsuit hand weighs three times a suited one — the way a deck does. Hands whose edge is too small to matter are left out and listed separately on each chart.

When push or fold takes over

Open to two and a half big blinds with twelve behind and you have put a fifth of your stack into a pot you cannot play after the flop. Fold to a re-raise and the raise was money thrown away; call it and you are all-in anyway, with a hand you never chose to go all-in with.

So the raise stops making sense and two actions are left. Shove, and either the blinds are yours uncontested or you race for your tournament life. Fold, and you keep what you have. The charts say which hands are worth the race from which seat.

The band runs from about five big blinds to about twenty. Below five, nearly everything shoves. Above twenty a normal raise starts to beat a jam again, because there is finally enough behind to play a flop with.

The chart most people are looking for

BTN shoves — 10bb

Folded to the button with ten big blinds — the most common short-stack decision in a tournament.

BTN shoves — 10bb — a 13 by 13 grid of every starting hand, suited above the diagonal and offsuit below
High cardAKQJT98765432
AAAShoveAKsShoveAQsShoveAJsShoveATsShoveA9sShoveA8sShoveA7sShoveA6sShoveA5sShoveA4sShoveA3sShoveA2sShove
KAKoShoveKKShoveKQsShoveKJsShoveKTsShoveK9sShoveK8sShoveK7sShoveK6sShoveK5sToo close to matterK4sFoldK3sFoldK2sFold
QAQoShoveKQoShoveQQShoveQJsShoveQTsShoveQ9sShoveQ8sShoveQ7sFoldQ6sFoldQ5sFoldQ4sFoldQ3sFoldQ2sFold
JAJoShoveKJoShoveQJoShoveJJShoveJTsShoveJ9sShoveJ8sShoveJ7sToo close to matterJ6sFoldJ5sFoldJ4sFoldJ3sFoldJ2sFold
TAToShoveKToShoveQToShoveJToShoveTTShoveT9sShoveT8sShoveT7sShoveT6sFoldT5sFoldT4sFoldT3sFoldT2sFold
9A9oShoveK9oFoldQ9oFoldJ9oFoldT9oToo close to matter99Shove98sShove97sShove96sFold95sFold94sFold93sFold92sFold
8A8oShoveK8oFoldQ8oFoldJ8oFoldT8oFold98oFold88Shove87sShove86sToo close to matter85sFold84sFold83sFold82sFold
7A7oShoveK7oFoldQ7oFoldJ7oFoldT7oFold97oFold87oFold77Shove76sShove75sFold74sFold73sFold72sFold
6A6oShoveK6oFoldQ6oFoldJ6oFoldT6oFold96oFold86oFold76oFold66Shove65sFold64sFold63sFold62sFold
5A5oShoveK5oFoldQ5oFoldJ5oFoldT5oFold95oFold85oFold75oFold65oFold55Shove54sFold53sFold52sFold
4A4oShoveK4oFoldQ4oFoldJ4oFoldT4oFold94oFold84oFold74oFold64oFold54oFold44Shove43sFold42sFold
3A3oShoveK3oFoldQ3oFoldJ3oFoldT3oFold93oFold83oFold73oFold63oFold53oFold43oFold33Shove32sFold
2A2oShoveK2oFoldQ2oFoldJ2oFoldT2oFold92oFold82oFold72oFold62oFold52oFold42oFold32oFold22Shove
ShoveToo close to matterFold
Shove:
22+ A2s+ K6s+ Q8s+ J8s+ T7s+ 97s+ 87s 76s A2o+ KTo+ QTo+ JTo
Too close:
K5s J7s 86s T9o
Share of hands:
32.1% of all starting hands, plus 1.8% too close to matter

Charts by stack depth

How these charts were solved

Each chart is the equilibrium of one clearly stated game: every stack the same depth, blinds of half a big blind and one big blind with no ante, and an unopened pot. Hero shoves or folds; each player behind calls or folds in turn; the first caller takes it heads-up. Both sides keep best-responding to the average of what the other has done until the strategies stop moving.

The equities underneath are ours rather than borrowed. Every one of the 169 starting-hand classes was run all-in against every other over a million random boards, and that table is what the solver reads. It sits in the repository next to the code that produced it.

Two things the model leaves out, deliberately. There is no ante, so with an ante in play every range widens. And only the first caller is modelled: nobody overcalls, and a caller decides as if the players behind it will fold. Both matter only for hands already sitting on the line — which is exactly why those hands are shaded rather than coloured in.

One more limit worth saying out loud: this is chip EV. In a tournament with a payout ladder, ICM tightens calling ranges sharply and shoving ranges much less. Near a pay jump, read the chart with the ICM calculator open beside it.

FAQ

What is a push fold chart?

A table of which starting hands to move all-in with, and which to fold, when the pot is unopened and your stack is short. There is one chart per seat and stack depth, because the same hand that is a clear shove on the button is a fold under the gun.

At what stack size does push or fold start?

Around fifteen big blinds, and it is the whole strategy by ten. The test is simple: if raising and then folding to a re-raise would cost you a meaningful slice of your stack, the raise was never really an option, so shove or fold instead.

Are push fold charts still correct with an ante?

The shape stays right but every range widens, because an ante adds dead money to the pot without adding to what you risk. These charts are solved without an ante, which makes them the conservative version: with an ante in play you can shove somewhat wider than they say.

Do these charts account for ICM?

No — they are chip EV, which is correct in a winner-take-all game and in the early stages of anything else. On a bubble or at a pay jump, ICM tightens calling ranges a long way and shoving ranges much less. Use the ICM calculator for those spots.