Push or Fold Calculator

Shove or fold, worked out from your own numbers rather than a memorised chart. The arithmetic is exact; the equity is simulated and says so.

One hand

Verdict
Equity when called
Equity needed
Edge in bb

The whole chart

169 hands, each simulated separately — it takes a few seconds and the borderline cells stay borderline however long you leave it.

AA
AKs
AQs
AJs
ATs
A9s
A8s
A7s
A6s
A5s
A4s
A3s
A2s
AKo
KK
KQs
KJs
KTs
K9s
K8s
K7s
K6s
K5s
K4s
K3s
K2s
AQo
KQo
QQ
QJs
QTs
Q9s
Q8s
Q7s
Q6s
Q5s
Q4s
Q3s
Q2s
AJo
KJo
QJo
JJ
JTs
J9s
J8s
J7s
J6s
J5s
J4s
J3s
J2s
ATo
KTo
QTo
JTo
TT
T9s
T8s
T7s
T6s
T5s
T4s
T3s
T2s
A9o
K9o
Q9o
J9o
T9o
99
98s
97s
96s
95s
94s
93s
92s
A8o
K8o
Q8o
J8o
T8o
98o
88
87s
86s
85s
84s
83s
82s
A7o
K7o
Q7o
J7o
T7o
97o
87o
77
76s
75s
74s
73s
72s
A6o
K6o
Q6o
J6o
T6o
96o
86o
76o
66
65s
64s
63s
62s
A5o
K5o
Q5o
J5o
T5o
95o
85o
75o
65o
55
54s
53s
52s
A4o
K4o
Q4o
J4o
T4o
94o
84o
74o
64o
54o
44
43s
42s
A3o
K3o
Q3o
J3o
T3o
93o
83o
73o
63o
53o
43o
33
32s
A2o
K2o
Q2o
J2o
T2o
92o
82o
72o
62o
52o
42o
32o
22
Shove Too close to call Fold

What is computed and what is sampled

  • Equity against a range is sampled, not enumerated. One hand against one hand is already 1,712,304 possible boards, and against a whole range it is that many times over — so the figure is a simulation, and the error bound is shown beside it rather than hidden.
  • The sampler is checked where exact answers are cheap. With a flop out there are only 990 turn-and-river combinations, and with four cards out only 44 rivers; the tests enumerate those completely and require the sampler to agree. That exercises the dealing, the evaluation and the tie-splitting all at once.
  • Ties split the pot rather than going to whoever was listed first. Over a large sample that difference is small; on any individual hand it is the whole result.
  • The push-or-fold arithmetic itself is exact. Folding costs the small blind, shoving wins the dead money when they fold, and turns into a race for both stacks when it does not. Only the equity fed into it is a sampled number.
  • None of this prices a bubble, a pay jump, or the fact that your opponent is a person who has been watching you. It is chip expected value against a stated calling frequency, which is a narrower claim than a push-or-fold chart usually makes for itself.

How to use

  1. Set your stack, the ante, and the range you think they call with.
  2. Check one hand, or build the whole 169-hand chart.
  3. Read the equity you need against the equity you have.

Frequently asked questions

Why not just use a published push/fold chart?

Because a chart is the answer to one specific question — a particular stack, a particular calling range, a particular ante — and it does not tell you which. Change what you think they call with and the chart changes underneath you. This works it out from the numbers you actually put in.

What is exact here and what is not?

The push-or-fold arithmetic is exact: folding costs the small blind, shoving wins the dead money when they fold, and turns into a race for both stacks when it does not. The EQUITY going into that is a simulation, because one hand against one hand is already 1,712,304 possible boards. The sampling error is stated rather than hidden.

How do you know the simulation is right?

It is checked against exact answers wherever they are cheap. With a flop out there are only 990 turn-and-river combinations left, and with four cards out only 44 rivers; both are enumerated completely in the tests and the sampler is required to agree with them.

Why are some cells marked too close to call?

Because they are. At a few hundred samples per hand there is a couple of points of noise, and a hand whose edge is a hundredth of a big blind cannot be separated from that. Marking it as borderline is honest; giving it a confident verdict would not be.

Why does a shorter stack shove wider?

Because the blinds are worth relatively more. At five big blinds the 1.5 you pick up uncontested is nearly a third of your stack; at thirty it is a twentieth. The equity you need when called falls accordingly, and the tool shows that figure alongside the equity you actually have.

What do antes change?

They add dead money, so a shove that gets through is worth more and the equity it needs when called goes down. That is why shoving ranges widen once antes come in — not because the hands got better, but because the prize for winning uncontested got bigger.

Does this account for the bubble?

No. It is chip expected value against a stated calling frequency, which is a narrower claim than a push-or-fold chart usually makes for itself. Near a pay jump a chip you win is worth less than a chip you lose, and nothing here prices that.

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