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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.
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Casino Hold'Em is, unlike most forms of hold'em, a game played only between the dealer and the player. This game forces you to make two decisions: Like in other forms of hold'em, you must decide whether you think you can beat the dealer, who himself has to have at least of pair of 4's to qualify.
Texas Hold 'Em Bonus goes by the name of Easy Poker at the Casino Bregenz in Austria.
Las Vegas Rules
- The game is played with a single 52-card deck.
- The player makes an Ante wager, plus an optional Bonus bet.
- Two hole cards are dealt face down to the player and dealer. The player may look at his own cards.
- The player must either fold or make a Flop bet. The Flop bet must be two times the amount of the ante.
- Three community cards (the Flop) are dealt.
- The player may do nothing or make a Turn bet. The Turn bet must be exactly equal to the ante bet.
- A fourth community card is dealt (the Turn).
- The player may do nothing or make a River bet. The River bet must be exactly equal to the ante bet.
- A fifth community card is dealt (the River).
- 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.
- If the dealer has the higher hand the player will lose all wagers, except possibly the Bonus bet.
- 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.
- If the player and dealer have hands of equal value the the Ante, Flop, Turn, and River bets will all push.
- 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
Turn Bet | River Bet | Outcome | Win | Combinations | Probability | Return |
---|---|---|---|---|---|---|
No | No | Dealer wins | -3 | 16191937969988 | 0.291077 | -0.873232 |
No | No | Tie | 0 | 1259275163176 | 0.022638 | 0 |
No | No | Player wins with less than straight | 2 | 5303424537200 | 0.095338 | 0.190676 |
No | No | Player wins with straight or higher | 3 | 1084471210036 | 0.019495 | 0.058486 |
No | Yes | Dealer wins | -4 | 1396173000700 | 0.025099 | -0.100394 |
No | Yes | Tie | 0 | 167704605536 | 0.003015 | 0 |
No | Yes | Player wins with less than straight | 3 | 2296867062000 | 0.04129 | 0.12387 |
No | Yes | Player wins with straight or higher | 4 | 605730184164 | 0.010889 | 0.043556 |
Yes | No | Dealer wins | -4 | 1896639509356 | 0.034095 | -0.136381 |
Yes | No | Tie | 0 | 135581445288 | 0.002437 | 0 |
Yes | No | Player wins with less than straight | 3 | 1247381880480 | 0.022424 | 0.067271 |
Yes | No | Player wins with straight or higher | 4 | 252140929436 | 0.004533 | 0.018131 |
Yes | Yes | Dealer wins | -5 | 5604708827316 | 0.100754 | -0.50377 |
Yes | Yes | Tie | 0 | 547943447680 | 0.00985 | 0 |
Yes | Yes | Player wins with less than straight | 4 | 12372657154480 | 0.222419 | 0.889677 |
Yes | Yes | Player wins with straight or higher | 5 | 2747896241164 | 0.049398 | 0.24699 |
Player folds | -1 | 2517086880000 | 0.045249 | -0.045249 | ||
Total | 55627620048000 | 1 | -0.020369 |
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. Lucky lady charm free slots.
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
Initial Hand | Las Vegas Rules | Atlantic City Rules |
---|---|---|
2,3 unsuited | -1.155927 | -1.195592 |
2,4 unsuited | -1.091604 | -1.13521 |
2,5 unsuited | -1.019987 | -1.067022 |
2,6 unsuited | -1.046723 | -1.077817 |
2,7 unsuited | -1.031301 | -1.050057 |
2,8 unsuited | -0.896002 | -0.917393 |
2,9 unsuited | -0.763132 | -0.784523 |
2,T unsuited | -0.613979 | -0.636507 |
2,J unsuited | -0.459414 | -0.478676 |
2,Q unsuited | -0.28969 | -0.305687 |
2,K unsuited | -0.102668 | -0.1154 |
2,A unsuited | 0.184373 | 0.160096 |
3,4 unsuited | -0.950034 | -1.009069 |
3,5 unsuited | -0.874456 | -0.937452 |
3,6 unsuited | -0.899632 | -0.946711 |
3,7 unsuited | -0.8854 | -0.919748 |
3,8 unsuited | -0.850607 | -0.872617 |
3,9 unsuited | -0.699497 | -0.724139 |
3,T unsuited | -0.549947 | -0.575726 |
3,J unsuited | -0.395206 | -0.417719 |
3,Q unsuited | -0.225563 | -0.24481 |
3,K unsuited | -0.038499 | -0.054482 |
3,A unsuited | 0.254437 | 0.226376 |
4,5 unsuited | -0.735126 | -0.813569 |
4,6 unsuited | -0.756096 | -0.819136 |
4,7 unsuited | -0.740561 | -0.790904 |
4,8 unsuited | -0.7068 | -0.744413 |
4,9 unsuited | -0.654394 | -0.679669 |
4,T unsuited | -0.487036 | -0.516079 |
4,J unsuited | -0.332233 | -0.358011 |
4,Q unsuited | -0.162612 | -0.185124 |
4,K unsuited | 0.024799 | 0.005551 |
4,A unsuited | 0.321642 | 0.290174 |
5,6 unsuited | -0.614318 | -0.692805 |
5,7 unsuited | -0.595481 | -0.661787 |
5,8 unsuited | -0.560487 | -0.614096 |
5,9 unsuited | -0.508593 | -0.549471 |
5,T unsuited | -0.437507 | -0.467184 |
5,J unsuited | -0.265364 | -0.294408 |
5,Q unsuited | -0.095642 | -0.12142 |
5,K unsuited | 0.092367 | 0.069855 |
5,A unsuited | 0.392893 | 0.358138 |
6,7 unsuited | -0.457726 | -0.536213 |
6,8 unsuited | -0.421014 | -0.48732 |
6,9 unsuited | -0.36839 | -0.421999 |
6,T unsuited | -0.297258 | -0.339273 |
6,J unsuited | -0.217975 | -0.244386 |
6,Q unsuited | -0.031216 | -0.056994 |
6,K unsuited | 0.156819 | 0.134306 |
6,A unsuited | 0.370719 | 0.351472 |
7,8 unsuited | -0.284039 | -0.362526 |
7,9 unsuited | -0.229986 | -0.296292 |
7,T unsuited | -0.157768 | -0.212535 |
7,J unsuited | -0.078216 | -0.116966 |
7,Q unsuited | 0.019887 | -0.003259 |
7,K unsuited | 0.224911 | 0.202399 |
7,A unsuited | 0.456798 | 0.434885 |
8,9 unsuited | -0.092377 | -0.170864 |
8,T unsuited | -0.016383 | -0.08401 |
8,J unsuited | 0.062709 | 0.011207 |
8,Q unsuited | 0.16144 | 0.125955 |
8,K unsuited | 0.282809 | 0.262927 |
8,A unsuited | 0.533716 | 0.511803 |
9,T unsuited | 0.127027 | 0.046521 |
9,J unsuited | 0.20434 | 0.139978 |
9,Q unsuited | 0.304465 | 0.256228 |
9,K unsuited | 0.428187 | 0.395968 |
9,A unsuited | 0.602407 | 0.583126 |
T,J unsuited | 0.370279 | 0.288219 |
T,Q unsuited | 0.471694 | 0.405776 |
T,K unsuited | 0.600228 | 0.550453 |
T,A unsuited | 0.78194 | 0.745643 |
J,Q unsuited | 0.535555 | 0.472903 |
J,K unsuited | 0.665761 | 0.619251 |
J,A unsuited | 0.852493 | 0.819462 |
Q,K unsuited | 0.735444 | 0.6922 |
Q,A unsuited | 0.925311 | 0.895545 |
K,A unsuited | 0.999317 | 0.972816 |
2,3 suited | -0.886985 | -0.923987 |
2,4 suited | -0.826008 | -0.866658 |
2,5 suited | -0.75798 | -0.801803 |
2,6 suited | -0.782881 | -0.811796 |
2,7 suited | -0.768076 | -0.785429 |
2,8 suited | -0.639021 | -0.658814 |
2,9 suited | -0.51015 | -0.529944 |
2,T suited | -0.364595 | -0.385438 |
2,J suited | -0.212709 | -0.23053 |
2,Q suited | -0.044946 | -0.059747 |
2,K suited | 0.141142 | 0.129363 |
2,A suited | 0.425022 | 0.402419 |
3,4 suited | -0.693044 | -0.74813 |
3,5 suited | -0.62123 | -0.679983 |
3,6 suited | -0.644776 | -0.688639 |
3,7 suited | -0.631082 | -0.663007 |
3,8 suited | -0.597478 | -0.617842 |
3,9 suited | -0.450882 | -0.473684 |
3,T suited | -0.304918 | -0.328768 |
3,J suited | -0.152868 | -0.173698 |
3,Q suited | 0.014889 | -0.002919 |
3,K suited | 0.201376 | 0.186589 |
3,A suited | 0.490618 | 0.464512 |
4,5 suited | -0.490199 | -0.563403 |
4,6 suited | -0.509707 | -0.5685 |
4,7 suited | -0.494853 | -0.541737 |
4,8 suited | -0.461634 | -0.496581 |
4,9 suited | -0.40913 | -0.432516 |
4,T suited | -0.246108 | -0.272979 |
4,J suited | -0.094025 | -0.117875 |
4,Q suited | 0.073849 | 0.053019 |
4,K suited | 0.260929 | 0.243121 |
4,A suited | 0.553554 | 0.524295 |
5,6 suited | -0.376191 | -0.449435 |
5,7 suited | -0.357989 | -0.419804 |
5,8 suited | -0.323018 | -0.372923 |
5,9 suited | -0.270833 | -0.308801 |
5,T suited | -0.199974 | -0.227429 |
5,J suited | -0.031373 | -0.058245 |
5,Q suited | 0.136745 | 0.112895 |
5,K suited | 0.324793 | 0.303963 |
5,A suited | 0.620767 | 0.588467 |
6,7 suited | -0.227072 | -0.300316 |
6,8 suited | -0.190276 | -0.252091 |
6,9 suited | -0.137464 | -0.187369 |
6,T suited | -0.066542 | -0.105559 |
6,J suited | 0.013273 | -0.011162 |
6,Q suited | 0.197628 | 0.173777 |
6,K suited | 0.385858 | 0.365029 |
6,A suited | 0.59982 | 0.582012 |
7,8 suited | -0.05986 | -0.133104 |
7,9 suited | -0.005551 | -0.067365 |
7,T suited | 0.066287 | 0.015313 |
7,J suited | 0.146267 | 0.110272 |
7,Q suited | 0.246024 | 0.22461 |
7,K suited | 0.451106 | 0.430277 |
7,A suited | 0.682911 | 0.662637 |
8,9 suited | 0.125648 | 0.052404 |
8,T suited | 0.200955 | 0.13792 |
8,J suited | 0.280795 | 0.232842 |
8,Q suited | 0.381333 | 0.348359 |
8,K suited | 0.50656 | 0.488168 |
8,A suited | 0.757219 | 0.736945 |
9,T suited | 0.33757 | 0.262459 |
9,J suited | 0.416267 | 0.356253 |
9,Q suited | 0.518407 | 0.473476 |
9,K suited | 0.646145 | 0.616192 |
9,A suited | 0.822276 | 0.80444 |
T,J suited | 0.574533 | 0.497955 |
T,Q suited | 0.677017 | 0.615537 |
T,K suited | 0.808521 | 0.762138 |
T,A suited | 0.990289 | 0.956538 |
J,Q suited | 0.737666 | 0.679207 |
J,K suited | 0.870492 | 0.82713 |
J,A suited | 1.056211 | 1.02548 |
Q,K suited | 0.936506 | 0.896165 |
Q,A suited | 1.124432 | 1.096723 |
K,A suited | 1.194024 | 1.169336 |
2,2 pair | -0.134137 | -0.140431 |
3,3 pair | 0.078584 | 0.068777 |
4,4 pair | 0.322289 | 0.308953 |
5,5 pair | 0.589457 | 0.572593 |
6,6 pair | 0.837465 | 0.820601 |
7,7 pair | 1.093669 | 1.076805 |
8,8 pair | 1.353048 | 1.336184 |
9,9 pair | 1.612114 | 1.59525 |
T,T pair | 1.87899 | 1.860933 |
J,J pair | 2.097415 | 2.082887 |
Q,Q pair | 2.315838 | 2.304838 |
K,K pair | 2.535691 | 2.528219 |
A,A pair | 2.788899 | 2.78206 |
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
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player has AA, dealer has AA | 1000 | 6 | 0.000004 | 0.003694 |
Player has AA | 30 | 7344 | 0.004521 | 0.135636 |
Player has AK suited | 25 | 4900 | 0.003017 | 0.075415 |
Player has AQ or AJ suited | 20 | 9800 | 0.006033 | 0.120664 |
Player has AK unsuited | 15 | 14700 | 0.00905 | 0.135747 |
Player has KK, QQ, or JJ | 10 | 22050 | 0.013575 | 0.135747 |
Player has AQ or AJ unsuited | 5 | 29400 | 0.0181 | 0.090498 |
Player has Pair 22 to 10,10 | 3 | 66150 | 0.040724 | 0.122172 |
All other | -1 | 1470000 | 0.904977 | -0.904977 |
Total | 1624350 | 1 | -0.085406 |
Bonus Bet — Atlantic City Rules
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
AA | 30 | 7350 | 0.004525 | 0.135747 |
AK suited | 25 | 4900 | 0.003017 | 0.075415 |
AQ or AJ suited | 20 | 9800 | 0.006033 | 0.120664 |
AK unsuited | 15 | 14700 | 0.00905 | 0.135747 |
KK, QQ, or JJ | 10 | 22050 | 0.013575 | 0.135747 |
AQ or AJ unsuited | 5 | 29400 | 0.0181 | 0.090498 |
Pair 22 to 10,10 | 3 | 66150 | 0.040724 | 0.122172 |
All other | -1 | 1470000 | 0.904977 | -0.904977 |
Total | 1624350 | 1 | -0.088989 |
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
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.
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
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Royal flush | 100 | 4,324 | 0.000032 | 0.003232 |
Straight flush | 60 | 37,260 | 0.000279 | 0.016710 |
Four of a kind | 40 | 224,848 | 0.001681 | 0.067227 |
Full house | 8 | 3,473,184 | 0.025961 | 0.207688 |
Flush | 6 | 4,047,644 | 0.030255 | 0.181530 |
Straight | 4 | 6,180,020 | 0.046194 | 0.184775 |
Three of a kind | 2 | 6,461,620 | 0.048299 | 0.096597 |
All other | -1 | 113,355,660 | 0.847300 | -0.847300 |
Total | 133,784,560 | 1.000000 | -0.089540 |
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.
Is there an easy to remember strategy?
In AC, I play UTH, but my local casino added Texas Hold 'em Bonus instead. What's the general opinion of this game? I've played it a couple times, but didn't really enjoy it much, I played even for half an hour and cashed out.
Is there an easy to remember strategy?
2-3 Unsuited
2-4 Unsuited
2-5 Unsuited
2-6 Unsuited
2-7 Unsuited
3-4 Unsuited
Everything else plays. If your two cards are suited, you play.
You raise on the turn in the following circumstances:
The cards in the flop improve your hand (Any Pair or better even 2s or 3s)
Your hole cards are A-10 or better OR a pair of 4s or better.
You have an outside straight or four to a flush.
You raise the river in the following circumstances:
The cards in the flop and turn improve your hand (Any Pair or better even 2s or 3s)
Your hole cards are A-10 or better OR a pair of 4s or better.
I have been lucky playing by those rules but pictured below is proof that I do not follow my own rules 100% of the time:
Notice that I didn't bet the turn when I should have.
CON: I don't like THB because you have to put out 3x the min on almost every hand (folding only the very worst x2 hands). You are often putting out the flop bet with a terrible hand. When you do hit a good hand, you can only risk 1 + 1 more bets.
PRO: I do like the multiple decision points that keep you thinking at every street.
CON: I really don't like the bonus bet, because I get harassed for not playing it.
UTH:
PRO: You put out lots of money when you have a good hand, that feels like good poker to me, and makes me feel better about betting my money.
CON: with a 4x hand, you only have 1 decision point (although you are usually happy to sit back and wait for your payday)
PRO: You can safely not play trips, because when it does pay, you usually are getting paid on your main bets anyway, so people don't call you names.
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THB's cons are UTH's pros. I much prefer UTH for my -EV carny play.http://wizardofodds.com/games/texas-hold-em-bonus/
The Element of Risk is good as long as the ante pays on straights. This looks very important to confirm. The strategy is simple to start out, not sure why there is no advice after that. Good poker sense rules?
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seems like a lot of your decisions revolve around whether you have a good kicker or not.If I make it to WoV II, they might have this game going [they have it acc to website]
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In AC, I play UTH, but my local casino added Texas Hold 'em Bonus instead. What's the general opinion of this game? I've played it a couple times, but didn't really enjoy it much, I played even for half an hour and cashed out.
Your local casino's management sounds like idiots. Please forgive me if the inventor of THB actually posts here.
Your local casino's management sounds like idiots.
Texas Holdem Bonus seems to have made a case to at least 2 casinos around PA/WV to have said game instead of UTH, I suspect more than 2. Unfortunately Meadows at least has gone for the shittier pay on the antie [needs flush].
Maybe the other selling point is the simplicity for the dealers. There is no qualifying hand for the dealer; less confusing situations seem to arise where one bet pushes, the other loses, the other wins even though no qualifier etc. I keep telling myself I have to watch for such dealer error in UTH, or don't play, should I ever do so.
'If the dealer has the higher hand the player will lose all wagers, except possibly the Bonus bet' per WoO site. The Ante bet wins or pushes if the player has won the hand, not too hard to remember.
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What about the Bonus bet, you say? It has to be much easier to think of as an independent side bet.I have not had the opportunity to play it or UTH, so there's that.
PS: I'm not sure where the dealer edge is! What am I missing? Essentially the dealer is stuck calling all your bets, you are stuck calling only your initial bets.
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The way I see it it THB is a 2 card game, while UTH is a 7 card game. As described, THB pays even money across the board, only on the Ante with either a straight or flush, and better. It seems to be the money to be won in the game is the bonus bet, any pair or Ace/Face paying out. Gets me to thinking, what about a 5$ ante and 5$ bonus bet strategy, no winner? fold it. Winner ? tuck it and collect. At least one of my area casinos will allow you to play the bonus with out paying to see the flop, ect. Just ante and bonus bet.
UTH on the other hand, will pay you odds on a made hand straight or better on the blind, and trips and better on the.. wait for it... trips bet. Again my local joints will allow you to 'fold' the play bets and only play the trips bet if you feel the dealer will beat your hand, even holding a paying trips bet.
Example: 4 to a flush on the board for community cards, and your stuck holding the 2 of said suit. You feel dealer has the flush as well, beating yours. Just tuck the cards under the trips bet, and fold the ante/blind bet.
While the trips bet is a sucker bet, according to the numbers, it seems to me that everyone I see not playing it almost always walks away poorer than they sat down, and the suckers winning money always seem to be on the trips.
I have had some absolutely absurd luck on the trips bet. Considering I play about 40 hands a month of the game, I have managed to hit 2 royals, 3 straight flushes, and 5 or 6 quads, all with a 2 unit bet up. Im normally a nickle a spot guy at the game, but occasionally just for S & G, bet a dime on each. All of those hands have been made on the turn/river never on the flop. I cannot count the number of other trips bet winners. Just absurd luck, pure and simple.