Pusher | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
A | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ |
K | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 19.9 | 19.3 |
Q | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 16.3 | 13.5 | 12.7 |
J | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 18.6 | 14.7 | 13.5 | 10.6 | 8.5 |
T | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 11.9 | 10.5 | 7.7 | 6.5 |
9 | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 14.4 | 6.9 | 4.9 | 3.7 |
8 | 20+ | 18.0 | 13.0 | 13.3 | 17.5 | 20+ | 20+ | 20+ | 20+ | 18.8 | 10.1 | 2.7 | 2.5 |
7 | 20+ | 16.1 | 10.3 | 8.5 | 9.0 | 10.8 | 14.7 | 20+ | 20+ | 20+ | 13.9 | 2.5 | 2.1 |
6 | 20+ | 15.1 | 9.6 | 6.5 | 5.7 | 5.2 | 7.0 | 10.7 | 20+ | 20+ | 16.3 | * | 2.0 |
5 | 20+ | 14.2 | 8.9 | 6.0 | 4.1 | 3.5 | 3.0 | 2.6 | 2.4 | 20+ | 20+ | ** | 2.0 |
4 | 20+ | 13.1 | 7.9 | 5.4 | 3.8 | 2.7 | 2.3 | 2.1 | 2.0 | 2.1 | 20+ | *** | 1.8 |
3 | 20+ | 12.2 | 7.5 | 5.0 | 3.4 | 2.5 | 1.9 | 1.8 | 1.7 | 1.8 | 1.6 | 20+ | 1.7 |
2 | 20+ | 11.6 | 7.0 | 4.6 | 2.9 | 2.2 | 1.8 | 1.6 | 1.5 | 1.5 | 1.4 | 1.4 | 20+ |
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Caller | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
A | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ |
K | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 17.6 | 15.2 | 14.3 | 13.2 | 12.1 | 11.4 | 10.7 |
Q | 20+ | 20+ | 20+ | 20+ | 20+ | 16.1 | 13.0 | 10.5 | 9.9 | 8.9 | 8.4 | 7.8 | 7.2 |
J | 20+ | 20+ | 19.5 | 20+ | 18.0 | 13.4 | 10.6 | 8.8 | 7.0 | 6.9 | 6.1 | 5.8 | 5.6 |
T | 20+ | 20+ | 15.3 | 12.7 | 20+ | 11.5 | 9.3 | 7.4 | 6.3 | 5.2 | 5.2 | 4.8 | 4.5 |
9 | 20+ | 17.1 | 11.7 | 9.5 | 8.4 | 20+ | 8.2 | 7.0 | 5.8 | 5.0 | 4.3 | 4.1 | 3.9 |
8 | 20+ | 13.8 | 9.7 | 7.6 | 6.6 | 6.0 | 20+ | 6.5 | 5.6 | 4.8 | 4.1 | 3.6 | 3.5 |
7 | 20+ | 12.4 | 8.0 | 6.4 | 5.5 | 5.0 | 4.7 | 20+ | 5.4 | 4.8 | 4.1 | 3.6 | 3.3 |
6 | 20+ | 11.0 | 7.3 | 5.4 | 4.6 | 4.2 | 4.1 | 4.0 | 20+ | 4.9 | 4.3 | 3.8 | 3.3 |
5 | 20+ | 10.2 | 6.8 | 5.1 | 4.0 | 3.7 | 3.6 | 3.6 | 3.7 | 20+ | 4.6 | 4.0 | 3.6 |
4 | 18.3 | 9.1 | 6.2 | 4.7 | 3.8 | 3.3 | 3.2 | 3.2 | 3.3 | 3.5 | 20+ | 3.8 | 3.4 |
3 | 16.6 | 8.7 | 5.9 | 4.5 | 3.6 | 3.1 | 2.9 | 2.9 | 2.9 | 3.1 | 3.0 | 20+ | 3.3 |
2 | 15.8 | 8.1 | 5.6 | 4.2 | 3.5 | 3.0 | 2.8 | 2.6 | 2.7 | 2.8 | 2.7 | 2.6 | 15.0 |
* | 63s: | 7.1 - 5.1, 2.3 |
** | 53s: | 12.9 - 3.8, 2.4 |
*** | 43s: | 10.0 - 4.9, 2.2 |
Pusher | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
A | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ |
K | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ |
Q | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 18.6 | 15.5 | 14.5 |
J | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 18.5 | 15.4 | 12.4 | 10.3 |
T | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 13.6 | 12.4 | 8.9 | 7.4 |
9 | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 16.5 | 8.0 | 6.0 | 4.7 |
8 | 20+ | 20+ | 14.9 | 15.4 | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 11.8 | 3.3 | 3.0 |
7 | 20+ | 18.3 | 11.8 | 9.7 | 10.4 | 12.4 | 16.8 | 20+ | 20+ | 20+ | 15.9 | 3.0 | 2.5 |
6 | 20+ | 17.4 | 11.3 | 7.5 | 6.7 | 6.5 | 8.5 | 13.5 | 20+ | 20+ | 18.8 | * | 2.4 |
5 | 20+ | 16.4 | 10.3 | 7.1 | 4.9 | 4.2 | 3.8 | 3.3 | 3.0 | 20+ | 20+ | ** | 2.4 |
4 | 20+ | 15.0 | 9.5 | 6.4 | 4.6 | 3.2 | 2.8 | 2.6 | 2.5 | 2.5 | 20+ | *** | 2.2 |
3 | 20+ | 14.3 | 8.6 | 5.8 | 4.2 | 3.0 | 2.3 | 2.2 | 2.1 | 2.1 | 2.0 | 20+ | 2.1 |
2 | 20+ | 13.3 | 8.1 | 5.5 | 3.7 | 2.7 | 2.2 | 1.9 | 1.8 | 1.9 | 1.7 | 1.6 | 20+ |
- Heads-Up Hold’em is a fun variant of Texas Hold’em Poker that gives you the chance to win big thanks to two side bets, and also gives you the chance to win even when you lose thanks to a Bad Beat feature. With each hand you can place the Pocket Bonus side bet and the Trips Plus side bet giving you the chance to win some huge payouts.
- Heads up Texas Holdem is one of the most fun, challenging and misunderstood variations of holdem. The thrill of playing a friend or foe in a battle of heads up holdem is unmatched in all of poker.
Caller | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
A | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ |
K | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 20+ | 17.4 | 16.4 | 15.1 | 13.9 | 12.9 | 12.3 |
Q | 20+ | 20+ | 20+ | 20+ | 20+ | 18.5 | 14.9 | 12.0 | 11.4 | 10.2 | 9.7 | 8.8 | 8.2 |
J | 20+ | 20+ | 20+ | 20+ | 20+ | 15.4 | 12.2 | 10.0 | 8.1 | 7.9 | 7.0 | 6.6 | 6.4 |
T | 20+ | 20+ | 17.8 | 15.1 | 20+ | 13.0 | 10.6 | 8.5 | 7.2 | 6.0 | 5.9 | 5.5 | 5.1 |
9 | 20+ | 19.8 | 13.5 | 10.9 | 9.7 | 20+ | 9.5 | 8.0 | 6.7 | 5.6 | 4.8 | 4.6 | 4.3 |
8 | 20+ | 16.1 | 11.3 | 8.8 | 7.7 | 6.9 | 20+ | 7.4 | 6.4 | 5.5 | 4.7 | 4.0 | 3.9 |
7 | 20+ | 14.3 | 9.2 | 7.4 | 6.5 | 5.7 | 5.4 | 20+ | 6.0 | 5.5 | 4.7 | 4.0 | 3.6 |
6 | 20+ | 12.8 | 8.4 | 6.2 | 5.2 | 4.9 | 4.6 | 4.5 | 20+ | 5.5 | 4.7 | 4.2 | 3.7 |
5 | 20+ | 11.8 | 7.8 | 5.9 | 4.5 | 4.1 | 4.0 | 4.0 | 4.1 | 20+ | 5.1 | 4.5 | 3.9 |
4 | 20+ | 10.5 | 7.1 | 5.4 | 4.3 | 3.7 | 3.5 | 3.6 | 3.7 | 3.8 | 20+ | 4.2 | 3.8 |
3 | 19.1 | 9.9 | 6.7 | 5.0 | 4.2 | 3.6 | 3.2 | 3.2 | 3.3 | 3.5 | 3.3 | 20+ | 3.6 |
2 | 18.1 | 9.4 | 6.4 | 4.8 | 3.9 | 3.4 | 3.1 | 2.9 | 3.0 | 3.1 | 3.0 | 2.9 | 16.9 |
* | 63s: | 8.9 - 4.7, 2.8 |
** | 53s: | 15.2 - 3.8, 2.9 |
*** | 43s: | 11.5 - 4.7, 2.6 |
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
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.
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.
Heads Up Holdem Table Game
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.
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.
Classic dice games. Casino games for phone. 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.
The data linked here was re-calculated with a later version than the original chart data, so there may be some very slight differences.
Heads-Up Rules for Texas Hold’em Poker
Heads up Texas Holdem is one of the most fun, challenging and misunderstood variations of holdem. The thrill of playing a friend or foe in a battle of heads up holdem is unmatched in all of poker. Is he bluffing? Does he have the nuts? Should I value bet my second pair? Well, I will not get ahead of myself just yet. Before you can play Texas Holdem heads up against an opponent, you have to know the rules, right?
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Texas Holdem Heads Up Rules – Button Position
Without a doubt, the single heads-up rule that creates the most confusion is who has the button and who has which blinds?
The first thing that confuses people is that the rules are different if you are playing at certain online poker site or playing live poker. It doesn’t make any sense, but some online poker rooms started setting the blinds backwards from what was generally accepted in live heads-up poker games for decades. I am going to explain the heads up rules for live poker for the sake of simplicity. The following Heads-up Texas Holdem rules apply to both tournaments and cash games.
Proper Preflop Head-Up Blinds Setup:
Heads-up Button Position and Dealing:
Heads Up Hold'em Online
- The button has the small blind when playing Texas Holdem heads up.
- The person who is the dealer has the button and also posts his/her small blind. This means that the other player (without the button) is the big blind.
- The small blind acts first on the first round of betting before the flop (pre-flop).
- The dealer (button) deals the small blind the first card, and the second card to the other player (big blind). Deal the 3rd (total) card to the small blind and the last card to the other player. This leaves each player with two hole cards and the first round of pre-flop betting can begin.
Heads Up Holdem Online
Heads-up Pre-flop Betting:
- The small blind can fold, call or raise.
- If the small blind just calls, then the big blind (non-button player) can either check and see the flop, or raise.
Heads Up Hold Em Strategy
All Other Rounds:
- The flop is dealt (3 cards).
- The person who was big blind pre-flop is first to act on the flop. (In case you forgot, this is the player who does NOT have the button – the button acts last on all streets except pre-flop.)
- The player who is first to act can bet or check. If that player checks, the button can then bet or check.
- If both players check, then the dealer deals the turn.
- Repeat the betting sequence for the turn and the river. (the 5th card)
- After all rounds of betting are complete, both players show their hands and the person with the best hand wins!
Now wasn’t that fun?!? If you think you got the hang of Texas Holdem heads up rules or you would just like to practice for free or for real money, I would suggest downloading Full Tilt Poker. Full Tilt is the poker room I rate the highest for heads up play. There are at least one hundred Texas Holdem heads up tables available 24/7.