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1. Heads Up Poker Odds Chart
2. Heads Up Charades Rules
3. Heads Up Chart Helmets
4. Heads Up Display Chartbeat

Expert Heads Up No Limit Holdem preflop charts. HUNL Preflop-only Charts Below are approximate solutions to the shove/fold and minraise/shove preflop-only games up to 100 BB. Don't use these at the table without understanding them! Click Heads Up Display under Optimization. Click Get Heads Up Display. Under Select site, choose an option from the menu. Heads Up Display will open for the selected site in a new browser tab. Heads-up Hyper Turbo Tournaments (HU-HT) are fast-paced 1on1 poker tournaments that you can play on most online poker sites with a buy-in of up to $1000. Headsup hypers are an action-packed game, full of wide ranges clashing against each other. While the higher stakes are full of hungry sharks, the lower stakes are relatively uncompetitive.

The tables show the highest effective stack size in big blinds where a hand can be pushed or called. Values bigger than 20 are only displayed as 20+, which means the hand can be played for any stack size of 20bb or less. (Playing push-or-fold is typically only recommended up to around 10bb, depending on the situation. Using push-or-fold for >20bb is almost certainly a bad idea.)

Some hands have gaps in their pushing strategies, they are marked with * and the details are displayed below the charts. For example 63s is included in the pushing strategy for stack sizes between 7.1 and 5.1bb, and stacks below 2.3bb.

SB (9.0bb): T3s
BB (6.0bb): Q2o

The effective stack size is the smaller of the two, before posting any blinds. So the relevant stack size for both players in this hand is 6.0 big blinds.

To find the strategy for SB's T3s, check the green area (suited hands) of the 'Pusher' chart. The value for T3s is 7.7bb, and since that is larger than the current effective stacks the hand is a push in the Nash Equilibrium strategy.

Heads Up Poker Odds Chart

To determine if the BB should call with his Q2o, check the orange area (offsuit hands) of the 'Caller' chart and locate Q2o. The value there is 5.6bb. The effective stacks in the current hand are larger than the value for Q2o, so this hand is a fold in the Nash Equilibrium strategy.

This example refers to the no ante solution. If the table values don't match the example then make sure the 'No Ante' tab is selected above.

The solution available on this site was independently calculated and published in 2007 as part of a coding experiment, inspired by the discussion of the topic in Mathematics of Poker.

Similar charts have been published by various sources, including SNGPT and Mathematics of Poker, and there are some minor differences between them. The exact Nash solution is considerably more complex and the chart only shows a simplified version. Most hands are actually played with mixed strategies for at least a few stack sizes, and many hands have multiple smaller gaps in their strategy, similar to the 63s, 53s, 43s hands. These details are omitted in the chart to allow a compact representation of the strategy.

Heads Up Charades Rules

The differences in published solutions are most likely due to choices made when simplifying the exact solution into easy-to-use charts. Due to the considerable number of rather arbitrary choices when simplifying into chart form, it is actually quite unlikely that two independently created charts would perfectly match.

Heads Up Chart Helmets

The file linked below contains the unsimplified push-or-fold equilibrium strategies for all stacks of 1bb ≤ stacks ≤ 200bb in steps of 0.05bb. This data can be used to derive the charts. For practical purposes the chart form should be completely sufficient though.

Heads Up Display Chartbeat

The data linked here was re-calculated with a later version than the original chart data, so there may be some very slight differences.