Introduction
Ultimate Texas Hold'em® is a poker-based casino game in which the player may make one raise at any time during the course of the hand. The earlier the raise is made the higher it may be. Unlike other poker-based games, raises made after the ante still have action, even if the dealer doesn't open. This game was invented by Roger Snow of Shuffle Master. The same base game, with some minor rule changes, is also distributed by Galaxy Gaming under the name Heads Up Hold 'Em. Evolution Gaming, a supplier of live dealer games to Internet casinos, refers to the game as "Extreme Texas Hold 'Em" in some jurisdictions, for legal reasons.
ULTIMATE TEXAS HOLD ’EM® is a registered trademark of Bally Gaming, Inc. and is used with permission on this website.
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How To Video
Rules
Following are the standard rules as played in the United States. There is a variant played in Auckland, New Zealand, I address following the standard rules.
- The game is played with a single ordinary 52-card deck.
- The player must make an equal bet on both the Ante and Blind, and can also make an optional Trips bet.
- Two cards are dealt face down to the player and dealer. The player may look at his own cards.
- The player can check or make a Play bet equal to three or four times the Ante.
- The dealer turns over three community cards.
- If the player previously checked, then he may make a Play bet equal to two times his Ante. If the player already made a Play bet, then he may not bet further.
- Two final community cards are turned over.
- 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 Blind bets. If the player already raised he may not bet further.
- The player and dealer will both make the best possible hand using any combination of their own two cards and the five community cards.*
- The dealer will need at least a pair to open.
- The following table shows how the Blind, Ante, and Play bets are scored, according to who wins, and whether the dealer opens.
Scoring Rules
Winner Dealer Opens Blind Ante Play Player Yes Win Win Win Player No Win Push Win Dealer Yes Lose Lose Lose Dealer No Lose Push Lose Tie Yes or No Push Push Push - Winning Ante and Play bets pay 1 to 1. Winning Blind bets pay according to the following pay table.
Blind Bet Pay Table
Player Hand Pays Royal flush 500 to 1 Straight flush 50 to 1 Four of a kind 10 to 1 Full house 3 to 1 Flush 3 to 2 Straight 1 to 1 All other Push - The Trips bet will pay according to the poker value of the player's hand regardless of the value of the dealer's hand, according to one of the Trips bet pay tables below.
Notes:
* While the standard rules let both player and dealer use any five cards to make their best poker hand, in Auckland, New Zeland, both sides must make use of both hole cards and three of the five community cards. An analysis of the game under this rule can be found in my page on Ultimate Texas Hold 'Em -- Auckland Variant.
Analysis
There are 52 possible outcomes of each hand. The table below shows the probability of each and the contribution to the total return, assuming optimal strategy. A 4X raise is referred to as a "large raise," a 2X raise as "medium," and 1x as "small."
Return TableExpand
Raise | Dealer Qualifies | Player Hand | Winner | Pays | Combinations | Probability | Return |
---|---|---|---|---|---|---|---|
Large | Yes | Less than straight | Player | 5 | 3,671,050,165,880 | 0.131987 | 0.659933 |
Large | Yes | Straight | Player | 6 | 246,174,692,160 | 0.008851 | 0.053105 |
Large | Yes | Flush | Player | 6.5 | 241,047,929,080 | 0.008666 | 0.056332 |
Large | Yes | Full house | Player | 8 | 295,405,180,920 | 0.010621 | 0.084966 |
Large | Yes | Four of a kind | Player | 15 | 23,008,208,760 | 0.000827 | 0.012408 |
Large | Yes | Straight flush | Player | 55 | 1,818,135,760 | 0.000065 | 0.003595 |
Large | Yes | Royal flush | Player | 505 | 596,356,920 | 0.000021 | 0.010828 |
Large | No | Less than straight | Player | 4 | 1,556,797,035,840 | 0.055972 | 0.223888 |
Large | No | Straight | Player | 5 | 81,416,649,960 | 0.002927 | 0.014636 |
Large | No | Flush | Player | 5.5 | 50,874,988,680 | 0.001829 | 0.010060 |
Large | No | Full house | Player | 7 | 0 | 0.000000 | 0.000000 |
Large | No | Four of a kind | Player | 14 | 0 | 0.000000 | 0.000000 |
Large | No | Straight flush | Player | 54 | 229,686,840 | 0.000008 | 0.000446 |
Large | No | Royal flush | Player | 504 | 90,386,280 | 0.000003 | 0.001638 |
Large | 0 | Push | 0 | 285,142,270,600 | 0.010252 | 0.000000 | |
Large | Yes | Dealer | -6 | 3,931,554,359,920 | 0.141353 | -0.848116 | |
Large | No | Dealer | -5 | 102,655,952,400 | 0.003691 | -0.018454 | |
Medium | Yes | Less than straight | Player | 3 | 2,114,839,654,764 | 0.076036 | 0.228107 |
Medium | Yes | Straight | Player | 4 | 133,100,158,992 | 0.004785 | 0.019142 |
Medium | Yes | Flush | Player | 4.5 | 152,618,008,784 | 0.005487 | 0.024692 |
Medium | Yes | Full house | Player | 6 | 289,401,836,880 | 0.010405 | 0.062430 |
Medium | Yes | Four of a kind | Player | 13 | 18,537,793,620 | 0.000666 | 0.008664 |
Medium | Yes | Straight flush | Player | 53 | 2,704,129,504 | 0.000097 | 0.005153 |
Medium | Yes | Royal flush | Player | 503 | 112,333,500 | 0.000004 | 0.002031 |
Medium | No | Less than straight | Player | 2 | 1,083,763,469,592 | 0.038965 | 0.077930 |
Medium | No | Straight | Player | 3 | 45,053,788,356 | 0.001620 | 0.004860 |
Medium | No | Flush | Player | 3.5 | 38,820,798,396 | 0.001396 | 0.004885 |
Medium | No | Full house | Player | 5 | 0 | 0.000000 | 0.000000 |
Medium | No | Four of a kind | Player | 12 | 0 | 0.000000 | 0.000000 |
Medium | No | Straight flush | Player | 52 | 358,131,456 | 0.000013 | 0.000670 |
Medium | No | Royal flush | Player | 502 | 8,830,620 | 0.000000 | 0.000159 |
Medium | Push | 0 | 191,611,691,060 | 0.006889 | 0.000000 | ||
Medium | Yes | Dealer | -4 | 1,841,155,221,088 | 0.066196 | -0.264783 | |
Medium | No | Dealer | -3 | 7,978,353,108 | 0.000287 | -0.000861 | |
Small | Yes | Less than straight | Player | 2 | 1,375,033,295,072 | 0.049437 | 0.098874 |
Small | Yes | Straight | Player | 3 | 395,087,247,768 | 0.014205 | 0.042614 |
Small | Yes | Flush | Player | 3.5 | 190,959,227,136 | 0.006866 | 0.024030 |
Small | Yes | Full house | Player | 5 | 43,297,986,840 | 0.001557 | 0.007784 |
Small | Yes | Four of a kind | Player | 12 | 859,737,984 | 0.000031 | 0.000371 |
Small | Yes | Straight flush | Player | 52 | 1,962,591,576 | 0.000071 | 0.003669 |
Small | Yes | Royal flush | Player | 502 | 42,135,660 | 0.000002 | 0.000760 |
Small | No | Less than straight | Player | 1 | 720,579,458,748 | 0.025907 | 0.025907 |
Small | No | Straight | Player | 2 | 136,018,223,484 | 0.004890 | 0.009781 |
Small | No | Flush | Player | 2.5 | 40,911,000,804 | 0.001471 | 0.003677 |
Small | No | Full house | Player | 4 | 0 | 0.000000 | 0.000000 |
Small | No | Four of a kind | Player | 11 | 0 | 0.000000 | 0.000000 |
Small | No | Straight flush | Player | 51 | 269,696,304 | 0.000010 | 0.000495 |
Small | No | Royal flush | Player | 501 | 6,109,020 | 0.000000 | 0.000110 |
Small | Push | 0 | 418,339,128,088 | 0.015041 | 0.000000 | ||
Small | Yes | Dealer | -3 | 2,700,150,685,692 | 0.097079 | -0.291238 | |
Small | No | Dealer | -2 | 47,223,220,344 | 0.001698 | -0.003396 | |
Fold | -2 | 5,335,144,079,760 | 0.191816 | -0.383633 | |||
Total | 27,813,810,024,000 | 1.000000 | -0.021850 |
The lower right cell shows a house edge of 2.185% per ante bet. What this means, for example, is if you bet $1 and both the Ante and Blind initially, then you can expect to lose 2.185 cents on average. However for comparison to other games I believe the Element of Risk is more appropriate to look at. The average total amount bet by the end of the hand is 4.152252 times the ante bet. So the element of risk would be 2.185%/4.152252 = 0.526%. The standard deviation, relative to the Ante bet, is 4.94.
Large bettors should be wary of maximum payouts. If your ante bet is more than 1/500 of the maximum payout, then you will get shortchanged on a royal flush. For every 100 the effective payout on a royal goes down, the house edge will go up by 0.308%. In other words, the increase in the house edge will be [500-(MP/500)]*0.0000308, where MP is the maximum payout.
The next table shows the average wager and return from each bet.
Ultimate Texas Hold 'Em® Return Table
Bet Type | Average Wager | Average Pays | Average Win |
---|---|---|---|
Ante | 1 | -0.165757 | -0.165757 |
Blind | 1 | -0.314685 | -0.314685 |
Play | 2.152252 | 0.213076 | 0.458593 |
Total | 4.152252 | -0.02185 |
Wizard Strategy
The following is my "Wizard Strategy" for Ultimate Texas Hold 'Em®.
Large Raise: The following table shows when to make the 4X raise.
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.
Example
What I mean by an "out" is a dealer hole card that will cause you to lose. Let's look at this situation as an example.
In the example above, there 15 cards that will pair the dealer and beat you (three suits each of K, 7, 2, A, and 10). Then there are the two ranks (jacks and queens) which will out-kick the player. All four jacks and queens remain in the decks, so that is 2×4=8 more cards that will beat you. So, we're up to 15+8=23. We don't count the other three nines because those will result in a push. So, because there are only 23 outs (21 or more), we fold.
BTW, using my Ultimate Texas Hold 'Em® calculator, we see that the expected value of raising this hand is -2.136364, which is less than the -2 of folding.
I get asked a lot about combinations of cards that will beat the player. For example, any two dealer spades that would give the dealer a flush in the example above. The answer is no. It would really make things complicated if the strategy accounted for double-card combinations that would beat the player.
Following my Wizard strategy will result in a house edge of 2.43% and an Element of Risk of 0.58%.
The second and third decision points are influenced by the James Grosjean strategy, for which I have great respect, as I do for all of Grosjean's work. I highly recommend his strategy if you want to something even more powerful than my simple strategy above.
Playing Blind
I've been asked about "playing blind," meaning making the same raise bet every hand. The following table shows the win, combinations, probability, and contribution to the return for all possible event playing blindly with a 1x Play bet every hand. The lower right cell shows an expected loss of 40.7%, relative to the Ante bet. Compared to the total three units bet per hand (Ante, Blind, and Play), the element of risk, defined as the ratio of expected loss to total amount bet, is 13.57%.
Playing Blind with 1x Raise
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player loses, dealer doesn't qualify | -2 | 76,626,795,600 | 0.027550 | -0.055100 |
Player loses, dealer qualifies | -3 | 1,257,498,573,692 | 0.452113 | -1.356339 |
Push | 0 | 113,130,263,816 | 0.040674 | 0.000000 |
Player wins with royal flush, dealer doesn't qualify | 501 | 10,532,592 | 0.000004 | 0.001897 |
Player wins with straight flush, dealer doesn't qualify | 51 | 85,751,460 | 0.000031 | 0.001572 |
Player wins with four of a kind, dealer doesn't qualify | 11 | - | 0.000000 | 0.000000 |
Player wins with full house, dealer doesn't qualify | 4 | - | 0.000000 | 0.000000 |
Player wins with flush, dealer doesn't qualify | 2.5 | 13,060,678,788 | 0.004696 | 0.011739 |
Player wins with straight, dealer doesn't qualify | 2 | 26,248,866,180 | 0.009437 | 0.018875 |
Player wins with three of a kind or less, dealer doesn't qualify | 1 | 356,577,881,220 | 0.128202 | 0.128202 |
Player wins with royal flush, dealer qualifies | 502 | 75,082,608 | 0.000027 | 0.013551 |
Player wins with straight flush, dealer qualifies | 52 | 648,485,684 | 0.000233 | 0.012124 |
Player wins with four of a kind, dealer qualifies | 12 | 4,240,864,800 | 0.001525 | 0.018297 |
Player wins with full house, dealer qualifies | 5 | 62,810,500,464 | 0.022582 | 0.112912 |
Player wins with flush, dealer qualifies | 3.5 | 58,462,516,500 | 0.021019 | 0.073567 |
Player wins with straight, dealer qualifies | 3 | 77,436,209,892 | 0.027841 | 0.083523 |
Player wins with three of a kind or less, dealer qualifies | 2 | 734,467,999,104 | 0.264066 | 0.528132 |
Total | 2,781,381,002,400 | 1.000000 | -0.407047 |
The next table shows the same information but with a 4x raise. Note that the bottom line shows an expected loss of the same 40.7% of the Ante bet. This is because the Play bet is perfectly balanced, if always made, so it contains no house edge. However, the total amount bet would be six units, making the element of risk 40.7%/6 = 6.78%.
Playing Blind with 4x Raise
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player loses, dealer doesn't qualify | -5 | 76,626,795,600 | 0.027550 | -0.137750 |
Player loses, dealer qualifies | -6 | 1,257,498,573,692 | 0.452113 | -2.712678 |
Push | 0 | 113,130,263,816 | 0.040674 | 0.000000 |
Player wins with royal flush, dealer doesn't qualify | 504 | 10,532,592 | 0.000004 | 0.001909 |
Player wins with straight flush, dealer doesn't qualify | 54 | 85,751,460 | 0.000031 | 0.001665 |
Player wins with four of a kind, dealer doesn't qualify | 14 | - | 0.000000 | 0.000000 |
Player wins with full house, dealer doesn't qualify | 7 | - | 0.000000 | 0.000000 |
Player wins with flush, dealer doesn't qualify | 5.5 | 13,060,678,788 | 0.004696 | 0.025827 |
Player wins with straight, dealer doesn't qualify | 5 | 26,248,866,180 | 0.009437 | 0.047187 |
Player wins with three of a kind or less, dealer doesn't qualify | 4 | 356,577,881,220 | 0.128202 | 0.512807 |
Player wins with royal flush, dealer qualifies | 505 | 75,082,608 | 0.000027 | 0.013632 |
Player wins with straight flush, dealer qualifies | 55 | 648,485,684 | 0.000233 | 0.012823 |
Player wins with four of a kind, dealer qualifies | 15 | 4,240,864,800 | 0.001525 | 0.022871 |
Player wins with full house, dealer qualifies | 8 | 62,810,500,464 | 0.022582 | 0.180660 |
Player wins with flush, dealer qualifies | 6.5 | 58,462,516,500 | 0.021019 | 0.136625 |
Player wins with straight, dealer qualifies | 6 | 77,436,209,892 | 0.027841 | 0.167046 |
Player wins with three of a kind or less, dealer qualifies | 5 | 734,467,999,104 | 0.264066 | 1.320330 |
Total | 2,781,381,002,400 | 1.000000 | -0.407047 |
In conclusion about playing blind, it is a terrible idea. However, if you must do so, make the maximum 4x raise.
Trips Bet
Shufflemaster literature mentions the following four possible pay tables on the Trips bet.
Trips Bet - Pay Table 1
Player Hand | Combinations | Pays | Probability | Return |
---|---|---|---|---|
Royal flush | 4324 | 50 | 0.000032 | 0.001616 |
Straight flush | 37260 | 40 | 0.000279 | 0.01114 |
Four of a kind | 224848 | 30 | 0.001681 | 0.05042 |
Full house | 3473184 | 9 | 0.025961 | 0.233649 |
Flush | 4047644 | 7 | 0.030255 | 0.211785 |
Straight | 6180020 | 4 | 0.046194 | 0.184775 |
Three of a kind | 6461620 | 3 | 0.048299 | 0.144896 |
All other | 113355660 | -1 | 0.8473 | -0.8473 |
Total | 133784560 | 1 | -0.009018 |
Trips Bet - Pay Table 2
Player Hand | Combinations | Pays | Probability | Return |
---|---|---|---|---|
Royal flush | 4324 | 50 | 0.000032 | 0.001616 |
Straight flush | 37260 | 40 | 0.000279 | 0.01114 |
Four of a kind | 224848 | 30 | 0.001681 | 0.05042 |
Full house | 3473184 | 8 | 0.025961 | 0.207688 |
Flush | 4047644 | 6 | 0.030255 | 0.18153 |
Straight | 6180020 | 5 | 0.046194 | 0.230969 |
Three of a kind | 6461620 | 3 | 0.048299 | 0.144896 |
All other | 113355660 | -1 | 0.8473 | -0.8473 |
Total | 133784560 | 1 | -0.01904 |
Trips Bet — Pay Table 3
Player Hand | Combinations | Pays | Probability | Return |
---|---|---|---|---|
Royal flush | 4324 | 50 | 0.000032 | 0.001616 |
Straight flush | 37260 | 40 | 0.000279 | 0.01114 |
Four of a kind | 224848 | 30 | 0.001681 | 0.05042 |
Full house | 3473184 | 8 | 0.025961 | 0.207688 |
Flush | 4047644 | 7 | 0.030255 | 0.211785 |
Straight | 6180020 | 4 | 0.046194 | 0.184775 |
Three of a kind | 6461620 | 3 | 0.048299 | 0.144896 |
All other | 113355660 | -1 | 0.8473 | -0.8473 |
Total | 133784560 | 1 | -0.034979 |
Pay table #3 seen at the Mirage.
Trips Bet - Pay Table 4
Player Hand | Combinations | Pays | Probability | Return |
---|---|---|---|---|
Royal flush | 4324 | 50 | 0.000032 | 0.001616 |
Straight flush | 37260 | 40 | 0.000279 | 0.01114 |
Four of a kind | 224848 | 20 | 0.001681 | 0.033613 |
Full house | 3473184 | 7 | 0.025961 | 0.181727 |
Flush | 4047644 | 6 | 0.030255 | 0.18153 |
Straight | 6180020 | 5 | 0.046194 | 0.230969 |
Three of a kind | 6461620 | 3 | 0.048299 | 0.144896 |
All other | 113355660 | -1 | 0.8473 | -0.8473 |
Total | 133784560 | 1 | -0.061808 |
Pay table #4 seen at Shufflemaster TableMax units.
In Florida, the player must also beat the dealer to win the Trips bet. There is also an increase in the pay table to adjust for this. For the full rules, please see my page on the Florida Variant of Trips Bet.
Common Progressive
This is the most common progressive jackpot, in my experience, so I'll title it the "Common Progressive." I used to title it the "Michigan Progressive," when the only known placement was in Michigan, but now it is seen all over the place.
There is just a single bet amount, which can be $1 or $5, depending on the table. Wins are based on the player's two hole cards and the three flop cards. The following table shows the probability and contribution to the return for the various wins. Wins are relative to the amount bet and are on a "for one" basis.
Common Progressive
Event | Pays | Envy Bonus | Combinations | Probability | Return | Envy Return |
---|---|---|---|---|---|---|
Royal flush | 100% of jackpot | 1000 | 4 | 0.000002 | 0.000000 | 0.001539 |
Straight flush | 10% of jackpot | 300 | 36 | 0.000014 | 0.000000 | 0.004156 |
Four of a kind | 300 | 624 | 0.000240 | 0.072029 | 0.000000 | |
Full house | 50 | 3,744 | 0.001441 | 0.072029 | 0.000000 | |
Flush | 40 | 5,108 | 0.001965 | 0.078616 | 0.000000 | |
Straight | 30 | 10,200 | 0.003925 | 0.117739 | 0.000000 | |
Three of a kind | 9 | 54,912 | 0.021128 | 0.190156 | 0.000000 | |
Total | 74,628 | 0.028715 | 0.530569 | 0.005695 |
What the table above immediately shows us is fixed wins return 53.06% to the player. For each additional player at the table, besides yourself, your return goes up by 0.57% from the Envy Bonus.
For a $1 bet, every $10,000 in the meter adds 2.924% to the return. Likewise, for a $5 bet, every $50,000 in the meter adds 2.924% to the return.
The next table shows the break-even point, where the Progressive side bet has zero house edge, according to the bet amount and number of other players (not counting yourself).
Common Progressive
Other Players | $1 Bet | $5 Bet |
---|---|---|
0 | $160,530.53 | $802,652.63 |
1 | $158,583.16 | $792,915.79 |
2 | $156,635.79 | $783,178.95 |
3 | $154,688.42 | $773,442.11 |
4 | $152,741.05 | $763,705.26 |
5 | $150,793.68 | $753,968.42 |
Small Progressive
Many tables in Las Vegas offer a $1 progressive side bet. The top win is for a royal flush using at least one hole card, which I call a "hidden royal flush." There is also a $100 envy bonus if another player gets a hidden royal. The following table shows the return of the fixed wins only, not counting the envy bonus. It shows a return of 45.68%, before considering the jackpot and envy bonuses.
Small Progressive
Event | Pays | Envy | Combinations | Probability | Return |
---|---|---|---|---|---|
Hidden royal flush | Jackpot | $100 | 86,480 | 0.000031 | ? |
Community royal flush | $1000 | $0 | 4,324 | 0.000002 | 0.001539 |
Straight flush | $250 | $0 | 782,460 | 0.000279 | 0.069627 |
Four of a kind | $75 | $0 | 4,721,808 | 0.001681 | 0.126050 |
Full house | $10 | $0 | 72,936,864 | 0.025961 | 0.259610 |
All other | $0 | $0 | 2,730,943,824 | 0.972047 | 0.000000 |
Total | 2,809,475,760 | 1.000000 | 0.456827 + ? |
The return per $1000 in jackpot is 3.08%. The return for the Envy Bonus is 0.308% for each additional player at the table. So each additional player at the table is worth $100 in the meter.
The next table shows how big the jackpot has to be for the Small Progressive to have exactly a 100% return, or zero house advantage.
Break Even Jackpots
Other Players | Jackpot |
---|---|
5 | $17,146.07 |
4 | $17,246.07 |
3 | $17,346.07 |
2 | $17,446.07 |
1 | $17,546.07 |
0 | $17,646.07 |
Buffalo Thunder Progressive
The Big Progressive tends to be much larger, because the player must flop a royal flush to win it. In other words, the player cannot make use of the Turn and River cards to win the progressive, unlike in the Small Progressive. There is no Envy Bonus. It was seen at the Buffalo Thunder casino in New Mexico.
Buffalo Thunder Progressive
Event | Pays | Permutations | Probability | Return |
---|---|---|---|---|
Player flops royal | 100% of jackpot | 1037760 | 0.000002 | ? |
Royal partially on board | 5% of jackpot | 19717440 | 0.000029 | ? |
Royal entirely on board | 3000 | 1037760 | 0.000002 | 0.004617 |
Straight flush | 250 | 187790400 | 0.000279 | 0.069627 |
Four of a kind | 100 | 1133233920 | 0.001681 | 0.168067 |
Full house | 10 | 17504847360 | 0.025961 | 0.25961 |
All other | 0 | 655426517760 | 0.972047 | 0 |
Total | 674274182400 | 1 | 0.502077 + ? |
The return for at any given time is 50.19% plus 3.00% for each $10,000 in the meter. For exactly zero house edge, the meter would need to be $165,959.74. I'm told the meter is seeded at $5,000, and 27% of money bet goes towards the meter. Fixed wins are not deducted from the meter. That would make the overall return 77.96%.
Bad Beat Bonus
At the Admiral casino in Liechtenstein there is a Bad Beat Bonus side bet. It pays if either the player or dealer lose with a three of a kind or better. Gaming literature mentions two different pay tables. My analysis of both is below. The bottom line is a house edge of 14.79% on pay table 1 and 20.39% on pay table 2.
Bad Beat Bonus — Pay Table 1
Losing Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Straight flush | 7,500 | 10,300,592 | 0.000004 | 0.027776 |
Four of a kind | 500 | 471,040,512 | 0.000169 | 0.084677 |
Full house | 50 | 8,435,225,376 | 0.003033 | 0.151637 |
Flush | 30 | 19,434,208,592 | 0.006987 | 0.209618 |
Straight | 20 | 18,271,076,976 | 0.006569 | 0.131381 |
Three of a kind | 9 | 64,049,759,448 | 0.023028 | 0.207252 |
Low hand win* | -1 | 2,557,579,127,088 | 0.919536 | -0.919536 |
Tie | -1 | 113,130,263,816 | 0.040674 | -0.040674 |
Total | 2,781,381,002,400 | 1.000000 | -0.147868 |
Bad Beat Bonus — Pay Table 2
Losing Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Straight flush | 10,000 | 10,300,592 | 0.000004 | 0.037034 |
Four of a kind | 500 | 471,040,512 | 0.000169 | 0.084677 |
Full house | 40 | 8,435,225,376 | 0.003033 | 0.121310 |
Flush | 25 | 19,434,208,592 | 0.006987 | 0.174681 |
Straight | 20 | 18,271,076,976 | 0.006569 | 0.131381 |
Three of a kind | 9 | 64,049,759,448 | 0.023028 | 0.207252 |
Low hand win* | -1 | 2,557,579,127,088 | 0.919536 | -0.919536 |
Tie | -1 | 113,130,263,816 | 0.040674 | -0.040674 |
Total | 2,781,381,002,400 | 1.000000 | -0.203873 |
*: A "low hand win" is a winning hand of two pair or less.
Hole Card Bonus
I'm told this side bet can be found in Washington state, the Flamingo in Las Vegas, and Norwegian cruise ship casinos. It pays based on the player's hole cards, except the top award also involves the dealer's hole cards. The lower right cell in the following table shows a house edge of 8.54%.
Hole Card Bonus
Bet | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player and dealer have aces | 1000 | 6 | 0.000004 | 0.003694 |
Pair of aces | 30 | 7,344 | 0.004521 | 0.135636 |
A/K suited | 25 | 4,900 | 0.003017 | 0.075415 |
A/Q or A/J suited | 20 | 9,800 | 0.006033 | 0.120664 |
AK off-suit | 15 | 14,700 | 0.009050 | 0.135747 |
Pair J's - K's | 10 | 22,050 | 0.013575 | 0.135747 |
A/Q or A/J off-suit | 5 | 29,400 | 0.018100 | 0.090498 |
Pair 2's - 10's | 3 | 66,150 | 0.040724 | 0.122172 |
All other | -1 | 1,470,000 | 0.904977 | -0.904977 |
Total | 1,624,350 | 1.000000 | -0.085406 |
Australian Rules
I have an unconfirmed report that at the Crown casino in Perth, Australia, the blind bet pushes if the dealer doesn't qualify and the dealer wins. Assuming no change in strategy, this happens 1 in every 176 hands. When it happens, the player will lose one less unit. The effect is a reduction in the house edge from 2.185% to 1.617%.
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.
Millionaire Progressive
This is a $5 "red light" progressive side bet that pays $1,000,000 for a royal flush in spades, I believe using the player's two hole cards and the flop. For all the rules and analysis, please see my page on the Millionaire Progressive.
Play for Free
I'm very proud to offer my Ultimate Texas Hold 'Em® game. What I'm especially pleased with is the advice feature, which offers advice based on optimal strategy. Webmaster J.B. worked very hard on this so please have a look.
Calculator
I'm proud to present my Ultimate Texas Hold 'Em® calculator. Put in any cards after the flop, river, or turn, and it will tell you the correct play and expected value.
Internal Links
- Ultimate Texas Hold 'Em® game. Play for free with an advice feature to catch your mistakes.
- Ultimate Texas Hold 'Em® calculator. Put in any cards to determine the best play.
- Ultimate Texas Hold 'Em® appendix 1. Details on the odds before the flop.
- Heads Up Hold 'Em. Similar game, offering bad beat bonuses, but 3x raise only after two cards.
- Florida Variant of Trips Bet, where the player must also beat the dealer.
External Links
- Wikipedia — Entry on Ultimate Texas Hold 'Em.
- Discountgambling.net has an outstanding analysis of this game, including what I call his "nut kicker" strategy for the second and third decision points.
- Shufflemaster's Ultimate Texas Hold 'Em® page.
- Demo game — Play this licensed demo game at our sister site Latest Casino Bonuses.
Written by:Michael Shackleford
FAQs
What is the best strategy for Ultimate Texas Holdem? ›
This is usually that round in the game where the first two cards are dealt to each player. Other than that, no other cards are usually dealt in this round. Now, in this round the raise is either 3X or 4X of the ante bet. So, as per the best strategy for ultimate Texas Hold'em always raise your bet by 4X.
Is Ultimate Texas Holdem good odds? ›Players should experience plenty of winning sessions, but unlike regular Texas Hold'em, players are competing against the house and not a player. What you might not know about Ultimate Texas Hold'em is that if it is played correctly it has one of the lowest house edges among any casino game at around 2%.
What has better odds 3 Card Poker or Ultimate Texas Holdem? ›3 – Players Have Much More to Lose on Every Hand
And in Three-Card Poker, the element of risk stands at 2.01% or nearly four times that found in Ultimate Texas Hold'em (0.53%).
THERE IS NO RAKE, AS IN REGULAR TEXAS HOLD'EM
In poker room games including Texas Hold'Em, seven-card stud, Omaha and others, the house makes money by taking a percentage of each winning hand. That's not the case in Ultimate Texas Hold'Em. The house makes money because a mathematical edge is designed into the game.
In fact, card counting in a poker game is not illegal but is encouraged and necessary to win money over the long term. Since it is possible to count cards in Texas Hold'em, let's discuss how this is accomplished and ways you can use this technique to beat your opponents.
What is the house advantage in Ultimate Texas Holdem? ›The house edge is roughly 2.2% of your ante bet in Ultimate Texas Hold'em, but it decreases to 0.50% for all of your bets combined. This means that, on average, you'll lose $2.20 for every $100 that you bet on the ante. This is a pretty low number, especially compared to other popular casino games.
What is the blind in Ultimate Texas Holdem? ›The blind bet is where the money comes from. The payouts for that bet are based on the final poker hand you have, as follows: A royal flush pays off at 500 to 1. A straight flush pays off at 50 to 1.
Is Ultimate Texas Holdem the same as Texas Holdem? ›Ultimate Texas Holdem shares many similarities with regular Texas Holdem, however the biggest difference is that you play exclusively against the dealer in Ultimate Texas Holdem. What's more is that the table used is of a layout similar to a blackjack table.
What are the odds in high card flush? ›Odds range from 7-to-1 to 8,000-to-1. The dealer and players each get seven cards. It's not like traditional poker, because four-of-a-kind and full-house hands don't matter. To win in this game, players need at least three cards of the same suit — a three-card flush.
Should you Play trips in Ultimate Texas Holdem? ›As mentioned, Trips bets are completely optional in Ultimate Texas Hold'em, and from the mathematical perspective, they aren't the best choice as the house edge on them is around 1.9%. However, they can be a lot of fun and add excitement to your sessions.
What is the best strategy for 3 card poker? ›
BASIC 3 CARD POKER STRATEGY
The usual strategy for when to make the Play wager is to bet whenever you have Queen-6-4 or better, including any time your high card is an Ace or a King, no matter how high your other two cards are, and also anytime your hand is Q-7 or better, regardless of your third card.
Pair Plus looks like the superior bet on the surface, because the house edge is only 2.32%. Few casino side bets come close to offering this low of a house advantage. Therefore, it's common to see many Three Card Poker players only make the Pair Plus wager.
Who invented Ultimate Texas Holdem? ›History. Ultimate Texas Hold 'Em was developed by Roger Snow of Bally Gaming, Inc. (formerly Shuffle Master). It is one of the newest variations of the poker game and is currently widely popular among US casinos.
Is Ultimate poker a good game? ›Ultimate Texas Holdem is still a better choice than many table games, and it's always a better choice than a slot machine. If you learn how to play video poker well and can recognize a good pay table, you can find video poker games with a lower house edge, too.
How many decks are used in Ultimate Texas Holdem? ›The game uses 2 alternating standard 52 card decks. Before the deal, each player will place an ante bet with an equal blind bet. There is an optional trips bonus bet.
Who is the best card counter? ›- Ben Affleck. A name that no one would expect to see on this list. ...
- Dominic LoRiggio. ...
- Ida Summers. ...
- Thomas Hyland. ...
- MIT Blackjack Team.
Counting cards is a legal activity. There are no federal or state laws stating that card counters are committing an offense. Police officers cannot arrest you for counting cards at a casino, nor can they convict you of any crimes.
Do professional poker players count cards? ›Card counting is not only legal in poker, but a crucial technique used by all successful players. In any scenario, you should always use your hole cards and the community cards to determine the likelihood of an opponent having a particular hand.
How does the dealer qualify in Ultimate Texas Holdem? ›In order to qualify, the dealer must hold at least a matched pair. If the dealer does not qualify, ante bets are returned to players. The dealer then compares their hand against those of the remaining players. The best poker hand wins.
Can you win at 3 card poker? ›Three Card Poker is like getting two Las Vegas casino games in one. Not only can you play against the dealer, you can also win based on how good your cards are. The object of the game is to make the best poker hand possible with only three cards.
How do you win at Holdem casino? ›
- Call any pair.
- Call any open-ended straight draw.
- Call any Ace-high or King-high.
- Call any flush draw.
- Call with 2 over-cards.
- Almost always call Queen-high, unless the community cards are monotone in a different suit.
- Fold when you have low unpaired cards.
Win if it has a higher poker value than that of the player-dealer's hand; b. Lose if it has a lower poker value than that of the player-dealer's hand; c. Constitute a push if it has a poker value equal to that of the player-dealer's hand.
Does a flush beat a straight? ›A flush is a hand that contains five cards all of the same suit, not all of sequential rank, such as K♣ 10♣ 7♣ 6♣ 4♣ (a "king-high flush" or a "king-ten-high flush"). It ranks below a full house and above a straight.
How much does a straight flush pay? ›Hand | Pays |
---|---|
Straight Flush | 200 to 1 |
4 of a Kind | 50 to 1 |
Full House | 25 to 1 |
Flush | 15 to 1 |
How To Play Texas Hold'em Bonus Poker - YouTube
Does a straight flush beat an ace high flush? ›Assuming two players both have a flush, the winner is determined by the player with the highest ranked flush card (Aces are high). Assuming both players share the same high card, the second highest card is consulted and so on.
How do you deal the chase flush? ›...
GAME RULES.
Same Suit Bonus | Pay To 1 |
---|---|
4 Card Flush | 1 |
H.E | 8.46% |
Casino | Game | # of Tables |
---|---|---|
Flamingo | High Card Flush | 1 |
Golden Nugget | High Card Flush | 1 |
Green Valley Ranch | High Card Flush | 1 |
Harrah's | High Card Flush | 2 |
Ultimate Texas Holdem shares many similarities with regular Texas Holdem, however the biggest difference is that you play exclusively against the dealer in Ultimate Texas Holdem. What's more is that the table used is of a layout similar to a blackjack table.
How many decks are used in Ultimate Texas Holdem? ›The game uses 2 alternating standard 52 card decks. Before the deal, each player will place an ante bet with an equal blind bet. There is an optional trips bonus bet.
What does dealer need to qualify in Ultimate Texas Holdem? ›
The player-dealer qualifies when the player-dealer's hand has a poker value of a pair or higher, the casino dealer reconciles the hands of those players who remain in the game in the following way: 1.
What are the odds in high card flush? ›Odds range from 7-to-1 to 8,000-to-1. The dealer and players each get seven cards. It's not like traditional poker, because four-of-a-kind and full-house hands don't matter. To win in this game, players need at least three cards of the same suit — a three-card flush.
What is the blind in Ultimate Texas Holdem? ›The blind bet is where the money comes from. The payouts for that bet are based on the final poker hand you have, as follows: A royal flush pays off at 500 to 1. A straight flush pays off at 50 to 1.
How do you win at Holdem casino? ›- Call any pair.
- Call any open-ended straight draw.
- Call any Ace-high or King-high.
- Call any flush draw.
- Call with 2 over-cards.
- Almost always call Queen-high, unless the community cards are monotone in a different suit.
- Fold when you have low unpaired cards.
How to Play Ultimate Texas Holdem from the Casino Experts - YouTube
Do you have to bet the blind in Ultimate Texas Holdem? ›To play a hand of Ultimate Texas Hold'em you need to make at least 2 bets - the Ante and Blinds bet. The Trips bet is an optional bet you can make which pays out only if you hit certain hands.
Can you win at 3 card poker? ›Three Card Poker is like getting two Las Vegas casino games in one. Not only can you play against the dealer, you can also win based on how good your cards are. The object of the game is to make the best poker hand possible with only three cards.
Can you play poker with 2 decks? ›Can poker be played with 2 decks? Poker games can only be played with one deck. All poker rules are built around having just one deck. If multiple decks were used the odds and probabilities would change and you would no longer be playing the same game.
What is a push in Texas Holdem? ›Push is common poker slang for going all-in. It is named because a player will sometimes literally push all their chips into the center of the table in one motion.
How much does a straight flush pay? ›Hand | Pays |
---|---|
Straight Flush | 200 to 1 |
4 of a Kind | 50 to 1 |
Full House | 25 to 1 |
Flush | 15 to 1 |
How do you play Texas Holdem against a dealer? ›
Simply, it pits each player against the dealer in heads-up hands of Texas Hold'em poker. Whoever has the best five-card poker hand at the end, wins. As in Blackjack, you only have to beat the dealer's hand to win, not the other players at the table.
Does a straight flush beat an ace high flush? ›Assuming two players both have a flush, the winner is determined by the player with the highest ranked flush card (Aces are high). Assuming both players share the same high card, the second highest card is consulted and so on.
How do you deal the chase flush? ›...
GAME RULES.
Same Suit Bonus | Pay To 1 |
---|---|
4 Card Flush | 1 |
H.E | 8.46% |
Casino | Game | # of Tables |
---|---|---|
Flamingo | High Card Flush | 1 |
Golden Nugget | High Card Flush | 1 |
Green Valley Ranch | High Card Flush | 1 |
Harrah's | High Card Flush | 2 |