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Push/Fold Calculator

Calculate optimal push/fold ranges for short-stacked tournament poker. Nash equilibrium shoving charts based on position and stack size.

By Joseph Orduna·Reviewed January 20, 2026·How this works
Formula:Nash Equilibrium Push/Fold Ranges

For mathematical education only. This tool computes probabilities and expected values; it is not a betting system and cannot predict individual outcomes.

If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline: 1-800-GAMBLER (1-800-522-4700), or visit ncpgambling.org.

How these calculators are built →

Your current stack in BB

Position at the table

Players behind you

Effective Stack

10 BB

No ante adjustment

Range Width

~48%

of starting hands

Strategy

Push or Fold

No limping or min-raising

Shove These Hands from BTN

AA-22A2s+A2o+K2s+K5o+Q5s+Q9o+J7s+JToT7s+T9o97s+87s76s65s

Based on 10 BB Nash equilibrium chart. Fold all other hands.

Position Analysis

Button is one of the best positions to shove. Only blinds can call, and they're out of position.

Try These Examples

Quick-start with common scenarios

Push/Fold Strategy Guide

Push/fold strategy is optimal when short-stacked in tournaments (under 10-15 big blinds). At 10 BB from the button, shove: Any pair, A2+, K5s+, K8o+, Q8s+, QTo+, J8s+, JTo, T8s+, 98s, 87s. At 5 BB, shove much wider: any ace, any pair, K2+, Q5+, J7+, T7+, 97s+. Nash equilibrium ranges ensure you can't be exploited.

Key Facts About Push/Fold

  • Use push/fold with 10 BB or less
  • Position matters: tighter UTG, wider on button
  • Nash equilibrium = unexploitable strategy
  • More players behind = tighter range
  • Antes increase shoving range significantly
  • ICM pressure tightens optimal ranges
  • Never min-raise or limp when short
  • Fold equity is crucial when short-stacked

Stack Size Strategy

1-5 BB: Emergency Mode

Shove very wide. Any ace, any pair, most kings, suited connectors. Fold equity is minimal but you need to accumulate chips.

6-10 BB: Critical Zone

Pure push/fold. Good fold equity makes shoving profitable. Never limp or min-raise - it's all or nothing.

11-15 BB: Decision Zone

Mostly push/fold but can occasionally play standard poker with premium hands. Position is crucial.

16-20 BB: Standard Play

Can play normal poker but push/fold is still optimal with marginal hands. Open-raising becomes viable.

Frequently Asked Questions

What is push/fold strategy?

Push/fold (shove/fold) is a simplified strategy for short-stacked tournament play where you either go all-in or fold - no limping or min-raising. It maximizes fold equity and prevents you from being pot-committed with weak hands.

When should I use push/fold?

Use push/fold when your stack is 10 big blinds or less (some use it up to 15 BB). Below this threshold, standard post-flop poker becomes suboptimal because you don't have enough chips to make meaningful raises and calls.

What is Nash equilibrium in poker?

Nash equilibrium is a mathematically optimal strategy where neither player can improve their results by changing their approach unilaterally. Nash push/fold charts show the optimal shoving and calling ranges that cannot be exploited.

How does position affect push/fold ranges?

Position dramatically affects ranges. From UTG (first position), you should only shove premium hands. From the button, you can profitably shove a much wider range because fewer players can wake up with a calling hand.

Should I adjust for ICM?

Yes. Near the bubble or pay jumps, tighten your shoving range because survival has extra value. Don't shove marginal hands when being eliminated costs more ICM equity than a double-up gains.

How this works

Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.

What this tool can’t do

When to consult a professional

This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.

Sources

  1. [1]
    Wizard of Odds — Michael Shackleford, ASA
    Industry·wizardofodds.com·Accessed Apr 21, 2026

    Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.

  2. [2]
    National Council on Problem Gambling
    Official source·ncpgambling.org·Accessed Apr 21, 2026

    Responsible-gambling guidance and 1-800-GAMBLER helpline.

For mathematical education only

This tool computes probabilities and expected values. It is not a betting system and cannot predict individual outcomes. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER (1-800-522-4700).

National Council on Problem Gambling →

Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

Full bioLinkedIn