• Calculate Poker Odds Texas Holdem
• Texas Holdem Poker Probability Calculator

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Introduction

Texas Hold 'Em Bonus is a poker based table game I noticed at the Flamingo Hilton in Las Vegas in September 2005. I also hear that it can be found in Atlantic City. Like real Texas Hold 'em the player may bet his hole card, after the flop, and after the turn (but not after the river). As in one on one poker all bets pay one to one, except the ante requires a straight or flush (depending on the location) or higher to pay.

Texas Hold 'Em Bonus goes by the name of Easy Poker at the Casino Bregenz in Austria.

Las Vegas Rules

1. The game is played with a single 52-card deck.
2. The player makes an Ante wager, plus an optional Bonus bet.
3. Two hole cards are dealt face down to the player and dealer. The player may look at his own cards.
4. The player must either fold or make a Flop bet. The Flop bet must be two times the amount of the ante.
5. Three community cards (the Flop) are dealt.
6. The player may do nothing or make a Turn bet. The Turn bet must be exactly equal to the ante bet.
7. A fourth community card is dealt (the Turn).
8. The player may do nothing or make a River bet. The River bet must be exactly equal to the ante bet.
9. A fifth community card is dealt (the River).
10. The player and dealer each make the best five-card hand using any combination of the five community cards and his own two initial hole cards. The higher hand wins.
11. If the dealer has the higher hand the player will lose all wagers, except possibly the Bonus bet.
12. If the player has the higher hand the Flop, Turn, and River bets will pay even money. If the player has a straight or higher the Ante bet will also pay even money, otherwise it will push.
13. If the player and dealer have hands of equal value the the Ante, Flop, Turn, and River bets will all push.
14. The Bonus bet will pay based only the player's and dealer's initial cards, according to the pay table posted.

The Horseshoe casino in Hammond, Indiana, follows the Las Vegas rules. Despite what the rule booklet says, the Casino Bregenz in Austria follows the Atlantic City rules.

Atlantic City Rules

There are only two rule differences under the Las Vegas rules. The player needs a flush or higher to win even money on the ante. The bonus bet does not have a line item for both player and dealer having a pair of aces.

House Edge

The following table shows all the possible outcomes assuming optimal player strategy and the Las Vegas rules. An explanation of each column follows the table. The lower right cell shows a house edge of 2.04%. The standard deviation is 3.51.

Texas Hold 'em Bonus Return Table — Las Vegas RulesExpand

Explanation of table

• Column 1:Yes if player makes turn bet, no otherwise
• Column 2:Yes if player makes river bet, no otherwise
• Column 3:Outcome
• Column 4: Net win
• Column 5:Total combinations
• Column 6:Probability
• Column 7:Contribution to return (win*probability)

The lower right cell shows a house edge of 2.037%. However I think this makes the game look like a worse bet than it really is. What this means is that for every dollar bet on the ante the player can expect to lose 2.037 cents. However by the end of the hand the average wager will be 3.8181 times the ante. So the element of risk, or ratio of loss to total amount bet is a much lower 2.037%/3.8181=0.5335%. The standard deviation is 3.500839.

According to Scott McIntosh the house edge is 5.5935% under the Atlantic City rules. I trust this figure because we agree exactly on the Las Vegas rules.

Strategy

The following is when the player should fold according to the rules.

• Las Vegas: unsuited 2/3 to 2/7.
• Atantic City: unsuited 2/3 to 2/7, and unsuited 3/4.

I have not quantified the strategy past the first decision point. I can say that under the Las Vegas rules the player who made the Flop bet will make the Turn bet 43.13% of the time, and the River bet 48.46% of the time. If the player made the turn bet, then he will also make the river bet 85.76% of the time. If the player made the flop bet, but not the turn bet, he will make the river bet 15.78% of the time.

The following table shows the expected value of all 169 possible initial hands under both the Las Vegas and Atlantic City rules.

Two-Card Expected Values

Bonus Bet

The bonus bet pays based only on the players hole cards, and in some cases the dealer's two hole cards. Who wins the hand does not matter. There seem to be two pay tables available for the bonus bet as follows. From what I hear the Atlantic City pay table is also used in Missouri and Indiana.

Bonus Bet — Las Vegas Rules

Bonus Bet — Atlantic City Rules

The lower right cells show a house edge on the bonus bet of 8.5406% under the Las Vegas rules and 8.8989% under the Atlantic City rules.

6-Card Bonus

Calculate Poker Odds Texas Holdem

Some casinos add on a side bet known as the 6-Card Bonus. This side bet is found on multiple poker-derivative games, so I created a special page for it. For more information, please see my page on the 6-Card Bonus.

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C5

At the Casino Bregenz in Austria, where the game goes by the title Easy Poker, they add a side bet called the C5, which is based on the poker-value of the player's seven-card hand. The following return table shows a house edge of 8.95%.

C5

Methodology

A brute force approach was used to cycle through all possible cominations of cards. In total 7,089,794,712,000 hands were played out, requiring 72 days of computer time to loop through them all.

Acknowledgements

I would like to thank Scott McIntosh of Online Poker Room Reviews for his contributions to this page. He confirmed my Las Vegas results and provided the Atlantic City house edge and expected values. His program runs in six hours compared to the 72 days mine takes, so I was happy to use his numbers. For reviews and advice on playing poker online I encourage you to visit his web site.

Links

There is a good Texas Hold 'Em Bonus calculator at beatingbonuses.com.

Analysis at ReviewPokerRooms.com.

Ultimate Texas Hold ’Em is one of the newest variations of poker to be created and it has become widely available in most U.S. casinos over the last several years. Today it is one of the most popular niche table games in almost every casino that offers it.

When Ultimate Texas Hold ‘Em was first introduced, the game was only available on multiplayer electronic machines. Since that time, its popularity has exploded and it has been expanded into a live table game which is the most common variety played in casinos today. It is now a registered trademark of Bally Gaming.

Currently Ultimate Texas Hold ‘Em is available at most Las Vegas casinos and many others throughout the country. Like other forms of poker, Ultimate Texas Hold ’Em is played with a single 52-card standard deck of cards. Players start off by making a blind and ante bet. Unlike traditional Texas Hold ‘Em variations, however, these two wagers must be equal. There is also an optional Trips side bet which pays regardless of whether your hand wins or loses. Read on to learn more about Ultimate Texas Hold ‘Em payouts, rules and how to play.

Ultimate Texas Hold ‘Em Articles

– Read Our Guide to Playing Ultimate Texas Hold’em Online

Ultimate Texas Hold ‘Em Payouts & Winning Hands

The blind, ante and play bets are each scored slightly differently depending on the outcome of the hand. The blind bet has its own special pay table, according to the strength of the overall hand. For the blind, winning hands of a straight or better have special payouts. Winning ante and play bets are paid out at 1:1. Below we have put together a basic chart outlining each of these:

Overall Payouts Based on Winning Hand

Blind Bet Payout

– Royal Flush: 500-1
– Straight Flush: 50-1
– Four of a Kind: 10-1
– Full House: 3-1
– Flush: 3-2
– Straight: 1-1

Trips Bet Payouts

Texas Holdem Poker Probability Calculator

The Trips side bet is optional and pays regardless of whether the hand wins or not. It even wins if the board makes the hand, making it one of the most popular features of Ultimate Texas Hold ‘Em. It is also worth noting that players may fold and still win the Trips bet. Below we have outlined payouts based on the winning hand:

– Royal Flush: 50-1
– Straight Flush: 40-1
– Four of a Kind: 30-1
– Three of a Kind: 8-1
– Full House: 8-1
– Flush: 6-1
– Straight: 5-1

How to Play Ultimate Texas Hold ‘Em

The format used in Ultimate Texas Hold ‘Em is similar to other versions of Texas Hold ‘Em that are spread in poker rooms. The biggest draws are that unlike other poker varieties, Ultimate Hold ‘Em is played against the dealer and there is an optional trips bet (which we go over below). Another draw comes from the raise format, which offers the player an opportunity to raise as a multiple of of ante. These factors help add a higher level of excitement to the game. Below we’ll outline the rules and payouts associated with Ultimate Texas Hold ‘Em.

1. To start off, players receive two cards and so does the dealer. The players look at their cards and decide whether to check or to raise. If they opt to raise, it must amount to four times the ante. There is also an option to raise only three times – however, there is never a hand where basic strategy calls for this move. A raise at any point in the hand ends any player action.

2. After this decision, three cards (known as the flop) are shown. Players that did not raise before the flop now have the option of raising two times the ante. Checking is also an option here.

3. After the post-flop betting has been resolved, the last two cards are shown. At this point, players must either match their ante or fold.

4. The dealer then exposes his two cards and grades the hand. The dealer must have at least one pair to qualify. A paired board is considered a qualifier, even if the dealer did not match it.

5. If the dealer does not qualify, then the ante pushes; even if the player’s hand loses to the dealer. If the dealer’s hand qualifies, the best hand wins the ante bet. This is the same whether playing in a casino or online at top poker sites for real money.

Additional notes: Regardless of whether the dealer qualifies, the blind and raises are in play. If the dealer beats the player then the blind bet and raise lose. If the player beats the dealer, the raise is matched. Ties push the raise and blind bet.

Ultimate Texas Hold ‘Em Progressive

When it comes to the excitement level of Ultimate Texas Hold ‘Em, the possibility of hitting a progressive certainly adds to the game. There are generally two types of progressive available at a table. This includes a “small” and “big” progressive. Obviously, this will vary from casino to casino, and sometimes even state to state. Most commonly, to qualify for the progressive requires the player to place a $1 side bet.

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Small Progressive

A “small progressive” refers to a player making certain hands by using at least 1 hole card. The highest payout comes from hitting a Royal Flush. Doing so will mean you get paid out the entire small progressive jackpot. Other hands qualifying for the progressive are community royals, straight flushes, four of a kinds and full houses.

Big Progressive

A “big progressive” refers to when a player makes the same hands listed above without using any hole cards. Instead, the player must flop a Royal Flush to win the jackpot. The jackpot for big progressives are generally much higher than the small progressive, since the odds are much lower on hitting one. You can still, however, win by using hole cards. For example, making a royal with a hole card still pays 5% of the jackpot, while a community royal will generally pay $3,000.