Heads Up Hold 'Em

Introduction

Heads Up Hold 'Em is an Ultimate Texas Hold 'Em variant by Galaxy Gaming, based on Texas Hold 'Em. The player may raise his bet one time, and has three opportunities to do so. The earlier he raises, the more he can bet. The main differences between Heads Up Hold 'Em and Ultimate Texas Hold 'Em are in the former the player may raise only 3x his Ante bet before the flop, but the game includes bad beat bonuses for losing with a straight or higher.

In November, 2022, I became aware of a similar game called Big Blind UTH. I will report more on that game after I get the Blind pay table.

Rules

Following are the rules for Heads Up Hold 'Em. For those used to the terminology in Ultimate Texas Hold 'Em, what is called the Blind there called the Odds bet here.

1. The game is played with a single ordinary 52-card deck.
2. The player must make an equal bet on both the Ante and Odds.
3. Two cards are dealt face down to the player and dealer. The player may look at his own cards.
4. The player can check or make a Play bet equal to three times the Ante.
5. The dealer turns over three community cards.
6. If the player previously checked, then he may make a Play bet equal to two times his Ante or check again. If the player already made a Play bet, then he may not bet further.
7. Two final community cards are turned over.
8. If the player previously checked twice, then he must either make a Play bet equal to exactly his Ante, or fold, losing both his Ante and Odds bets. If the player already raised he may not bet further.
9. The player and dealer will both make the best possible hand using any combination of their own two cards and the five community cards.
10. The dealer will need at least a pair to open.
11. The following table shows how the Ante, Odds, and Play bets are scored, according to who wins, and whether the dealer opens.
     

    Scoring Rules

    Winner	Dealer Opens	Ante	Play	Odds
    Player	Yes	Win	Win	See rule 12
    Player	No	Push	Win	See rule 12
    Dealer	Yes	Lose	Lose	See rule 12
    Dealer	No	Push	Lose	Lose
    Tie	Yes or No	Push	Push	Push

    

    This is each player's betting area.

12. Winning Ante and Play bets pay 1 to 1. Winning Odds bets pay according to value of the hand and whether it wins or loses. The following pay table shows what winning Odds bets pay.
     

    Winning Odds Bet Pay Table

    Hand	Pays
    Royal Flush	500
    Straight Flush	50
    Quads	10
    Full House	3
    Flush	1.5
    Straight	1
    All Other	Push

    Galaxy Gaming, the game owner, has four different pay tables for losing blind bets, as follows.

    Losing Odds Bet Pay Table

    Hand	Pay Table
    	1	2	3	4
    Straight Flush	500	500	500	500
    Quads	50	50	50	25
    Full House	10	10	10	6
    Flush	8	6	5	5
    Straight	5	5	4	4
    All Other	Loss	Loss	Loss	Loss

13. In addition, there are two side bets, that pay based on the player's cards only, the Trips Plus and Pocket Bonus. These side bets are explained after the analysis of the base game.

 

Strategy

The player should make the 3X raise with any pair except deuces. Otherwise, use the following table shows when to make the large 3X raise.

The strategy for the medium and small raise are the same as in Ultimate Texas Hold 'Em, as follows:

Medium Raise: Make the 2X raise with any of the following:

• Two pair or better.
• Hidden pair*, except pocket deuces.
• Four to a flush including a hidden 10 or better to that flush

 

* Hidden pair = Any pair with at least one card in your hole cards (thus the pair is hidden to the dealer).

Small Raise: Make the 1X raise with any of the following, otherwise fold:

• Hidden pair or better.
• Less than 21 dealer outs beat you.

For a more powerful small and medium raise strategy, I recommend the James Grossjean strategy card for Ultimate Texas Hold 'Em.

Analysis

The following table shows all possible outcomes of each hand, what it pays, the probability, and contribution to the return under the losing Odds bet pay table number 1 (the one that goes 500-50-10-8-5). The lower right cell shows a house edge of 2.36%.

As shown in the lower right cell, the house edge is 2.36%. This is the expected loss to the Ante wager only. For example, if the player bets $5 on both the Ante and Odds, then his expected loss would be $5 × 0.023584 = 11.79¢.

The average final wager per hand is 3.67 units. That makes the element of risk 2.36%/3.67 = 0.64%. This means for every dollar you wager in the game, on anything, other than the side bets, you can expect to lose 0.64¢.

By comparison, the element of risk in Ultimate Texas Hold 'Em is 0.53%.

The standard deviation, relative to to the Ante bet, is 4.56.

The next table shows the house edge and element of risk under all four losing Odds bet pay tables according to the pay table for a losing Odds bet.

This is full table cloth.

Trips Plus

The Trips Plus bet will pay according to the poker value of the player's hand regardless of the value of the dealer's hand. Following is an analysis of the most common pay table.

The next table shows four known pay tables for the Trips Plus.

Pocket Bonus

The Pocket Bonus bet will pay according to the value of the player's two hole cards. The follow tables show what each two cards pays, the probability, and contribution to the total return for each known pay table for the Pocket Bonus.

Acknowledgments

I would like to thank Charles Mousseau and Stephen How for their assistance, which confirmed my analysis. Thanks to Charles also for his advice on the medium and small raise strategy.

Internal Links

Detailed calculations on some starting hands.

Extneral Links

Play Heads Up Hold 'Em at the Galaxy Gaming web site. One click and you're playing.

Written by: Michael Shackleford