Est. 1997 | Last Update: 23 Jul, 2008


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World Poker Tour 3X Raise Hold 'Em

Last update: June 16, 2008

Introduction

World Poker Tour 3X Raise Hold 'Em is poker based table game I have noticed at the Bellagio and Mirage in Las Vegas. It is not to be confused with a similar game called World Poker Tour All In Hold 'Em. The rules are farily true to real poker and the Element of Risk is only 0.196%.

Rules

  1. The game uses a single 52-card deck.
  2. Play begins with the player making an ante bet and two optional side bets
  3. Player gets two "hole" cards face down, which he may examine.
  4. Player has two choices, raise or fold.
  5. If player folds he forfeits his ante bet.
  6. If player raises he must make a raise bet equal to three times the ante.
  7. If the player raised the dealer will call with any pair or a blackjack point value of 11 or higher.
  8. If the dealer does not call then he will fold. In this case the player will win even money on the ante and the raise will push.
  9. Five community cards will be dealt.
  10. If both player and dealer are still in the game the higher poker hand will win. If the player has the higher hand both ante and raise will pay even money. If dealer has the higher hand the ante and raise will lose. A tie will result in a push.
  11. The "Player's Hole Cards Bonus Bet" is paid according to the value of the player's two hold cards. The pay table is below.
  12. The "Player's Final Hand Bonus Bet" is paid according to the value of the player's final seven cards hand. The pay table is below.
  13. Even if the player folds the cards will still be played out to resolve any side bets. In the event one or more players raise and one or more go all-in the dealer will separately adjudicate each hand according to the above rules.

Player's Hole Cards Bonus Bet
Hand Pays
Two red aces50 to 1
Ace/king suited25 to 1
Pair of aces20 to 1
Pair J-K8 to 1
Pair 6-103 to 1
Pair 2-52 to 1
Suited1 to 1
All otherLoss

Player's Final Hand Bonus Bet
Hand Pays
Royal flush500 to 1
Straight flush100 to 1
Four of a kind40 to 1
Full house8 to 1
Flush6 to 1
Straight4 to 1
Three of a kind2 to 1
All otherLoss

Strategy

The following table shows the optimal strategy. The player will raise 91.9% of the time, in all but nine hands.

House Edge

The following table shows the probability and return for all possible outcomes, assuming optimal strategy. The lower right cell shows a house edge of 1.50%. The average wager is 3.756 units, so the Element of Risk is a very low 0.196%.

All In Hold 'Em 3X — Return Table under Optimal Strategy
Win Combinations Probability Return
4 1028334618404 0.369721 1.478884
1 373453502400 0.134269 0.134269
0 82860379592 0.029791 0
-1 226537819200 0.081448 -0.081448
-4 1070194682804 0.384771 -1.539084
Total 2781381002400 1 -0.007379

The following table shows the probability and return for all possible outcomes, playing blind (always raising). The lower right cell shows a house edge of 1.35%. The average wager is 4 units, so the Element of Risk is 0.34%.

All In Hold 'Em 3X — Return Table under Playing Blind
Win Combinations Probability Return
4 1089643156268 0.391763 1.567053
1 402733900800 0.144796 0.144796
0 89287177820 0.032102 0
-4 1199716767512 0.431339 -1.725354
Total 2781381002400 1 -0.013504

Expected Value Table

The following table shows the expected value by raising and going all-in for all possible hands. The probability of the 2-card hand the contribution to the total return are also indicated.

World Poker Tour All-In Hold'Em Expected Value Table
Higher
Card		 Lower
Card		 Type Raise Probability Return
A A Pair 2.537 0.004525 0.01148
K K Pair 2.322202 0.004525 0.010508
Q Q Pair 2.12371 0.004525 0.00961
J J Pair 1.926 0.004525 0.008715
10 10 Pair 1.728031 0.004525 0.007819
9 9 Pair 1.489993 0.004525 0.006742
8 8 Pair 1.266058 0.004525 0.005729
7 7 Pair 1.052931 0.004525 0.004764
6 6 Pair 0.855409 0.004525 0.003871
5 5 Pair 0.665863 0.004525 0.003013
4 4 Pair 0.460929 0.004525 0.002086
3 3 Pair 0.26773 0.004525 0.001211
2 2 Pair 0.08572 0.004525 0.000388
A K Suited 1.317765 0.003017 0.003975
A Q Suited 1.249313 0.003017 0.003769
A J Suited 1.182055 0.003017 0.003566
A 10 Suited 1.116615 0.003017 0.003368
A 9 Suited 0.974734 0.003017 0.00294
A 8 Suited 0.900643 0.003017 0.002717
A 7 Suited 0.821663 0.003017 0.002479
A 6 Suited 0.739532 0.003017 0.002231
A 5 Suited 0.734791 0.003017 0.002217
A 4 Suited 0.667288 0.003017 0.002013
A 3 Suited 0.609512 0.003017 0.001839
A 2 Suited 0.554117 0.003017 0.001672
K Q Suited 1.02153 0.003017 0.003082
K J Suited 0.953209 0.003017 0.002875
K 10 Suited 0.888743 0.003017 0.002681
K 9 Suited 0.74892 0.003017 0.002259
K 8 Suited 0.613747 0.003017 0.001851
K 7 Suited 0.548762 0.003017 0.001655
K 6 Suited 0.478987 0.003017 0.001445
K 5 Suited 0.419135 0.003017 0.001264
K 4 Suited 0.349045 0.003017 0.001053
K 3 Suited 0.289016 0.003017 0.000872
K 2 Suited 0.23241 0.003017 0.000701
Q J Suited 0.763087 0.003017 0.002302
Q 10 Suited 0.698167 0.003017 0.002106
Q 9 Suited 0.558269 0.003017 0.001684
Q 8 Suited 0.426298 0.003017 0.001286
Q 7 Suited 0.292091 0.003017 0.000881
Q 6 Suited 0.237735 0.003017 0.000717
Q 5 Suited 0.178256 0.003017 0.000538
Q 4 Suited 0.108002 0.003017 0.000326
Q 3 Suited 0.047817 0.003017 0.000144
Q 2 Suited -0.009104 0.003017 -0.000027
J 10 Suited 0.53638 0.003017 0.001618
J 9 Suited 0.392804 0.003017 0.001185
J 8 Suited 0.262303 0.003017 0.000791
J 7 Suited 0.130598 0.003017 0.000394
J 6 Suited 0.00073 0.003017 0.000002
J 5 Suited -0.042873 0.003017 -0.000129
J 4 Suited -0.112919 0.003017 -0.000341
J 3 Suited -0.17305 0.003017 -0.000522
J 2 Suited -0.229916 0.003017 -0.000694
10 9 Suited 0.254435 0.003017 0.000768
10 8 Suited 0.123236 0.003017 0.000372
10 7 Suited -0.007119 0.003017 -0.000021
10 6 Suited -0.135128 0.003017 -0.000408
10 5 Suited -0.259173 0.003017 -0.000782
10 4 Suited -0.313017 0.003017 -0.000944
10 3 Suited -0.372681 0.003017 -0.001124
10 2 Suited -0.429102 0.003017 -0.001294
9 8 Suited -0.004189 0.003017 -0.000013
9 7 Suited -0.130669 0.003017 -0.000394
9 6 Suited -0.257263 0.003017 -0.000776
9 5 Suited -0.380598 0.003017 -0.001148
9 4 Suited -0.517201 0.003017 -0.00156
9 3 Suited -0.560079 0.003017 -0.00169
9 2 Suited -0.615748 0.003017 -0.001857
8 7 Suited -0.224752 0.003017 -0.000678
8 6 Suited -0.34629 0.003017 -0.001045
8 5 Suited -0.467037 0.003017 -0.001409
8 4 Suited -0.601872 0.003017 -0.001816
8 3 Suited -0.730323 0.003017 -0.002203
8 2 Suited -0.762681 0.003017 -0.002301
7 6 Suited -0.391098 0.003017 -0.00118
7 5 Suited -0.507268 0.003017 -0.00153
7 4 Suited -0.639444 0.003017 -0.001929
7 3 Suited -0.762109 0.003017 -0.002299
7 2 Suited -0.87979 0.003017 -0.002654
6 5 Suited -0.509758 0.003017 -0.001538
6 4 Suited -0.631583 0.003017 -0.001905
6 3 Suited -0.750146 0.003017 -0.002263
6 2 Suited -0.868137 0.003017 -0.002619
5 4 Suited -0.582347 0.003017 -0.001757
5 3 Suited -0.696386 0.003017 -0.002101
5 2 Suited -0.813149 0.003017 -0.002453
4 3 Suited -0.752076 0.003017 -0.002269
4 2 Suited -0.867297 0.003017 -0.002616
3 2 Suited -0.920104 0.003017 -0.002776
A K Unsuited 1.203263 0.00905 0.010889
A Q Unsuited 1.130459 0.00905 0.01023
A J Unsuited 1.058799 0.00905 0.009582
A 10 Unsuited 0.988983 0.00905 0.00895
A 9 Unsuited 0.837117 0.00905 0.007576
A 8 Unsuited 0.756525 0.00905 0.006846
A 7 Unsuited 0.670661 0.00905 0.006069
A 6 Unsuited 0.581397 0.00905 0.005262
A 5 Unsuited 0.576203 0.00905 0.005215
A 4 Unsuited 0.502534 0.00905 0.004548
A 3 Unsuited 0.439167 0.00905 0.003974
A 2 Unsuited 0.378193 0.00905 0.003423
K Q Unsuited 0.889344 0.00905 0.008048
K J Unsuited 0.81651 0.00905 0.007389
K 10 Unsuited 0.747699 0.00905 0.006767
K 9 Unsuited 0.597983 0.00905 0.005412
K 8 Unsuited 0.452547 0.00905 0.004095
K 7 Unsuited 0.381647 0.00905 0.003454
K 6 Unsuited 0.305742 0.00905 0.002767
K 5 Unsuited 0.241499 0.00905 0.002186
K 4 Unsuited 0.165108 0.00905 0.001494
K 3 Unsuited 0.099395 0.00905 0.0009
K 2 Unsuited 0.037196 0.00905 0.000337
Q J Unsuited 0.615854 0.00905 0.005573
Q 10 Unsuited 0.546529 0.00905 0.004946
Q 9 Unsuited 0.396735 0.00905 0.00359
Q 8 Unsuited 0.254682 0.00905 0.002305
Q 7 Unsuited 0.110169 0.00905 0.000997
Q 6 Unsuited 0.050779 0.00905 0.00046
Q 5 Unsuited -0.013037 0.00905 -0.000118
Q 4 Unsuited -0.089587 0.00905 -0.000811
Q 3 Unsuited -0.155449 0.00905 -0.001407
Q 2 Unsuited -0.217959 0.00905 -0.001972
J 10 Unsuited 0.375919 0.00905 0.003402
J 9 Unsuited 0.222222 0.00905 0.002011
J 8 Unsuited 0.081718 0.00905 0.00074
J 7 Unsuited -0.060139 0.00905 -0.000544
J 6 Unsuited -0.199937 0.00905 -0.001809
J 5 Unsuited -0.246719 0.00905 -0.002233
J 4 Unsuited -0.323034 0.00905 -0.002923
J 3 Unsuited -0.388815 0.00905 -0.003519
J 2 Unsuited -0.451241 0.00905 -0.004084
10 9 Unsuited 0.076457 0.00905 0.000692
10 8 Unsuited -0.064797 0.00905 -0.000586
10 7 Unsuited -0.205226 0.00905 -0.001857
10 6 Unsuited -0.343041 0.00905 -0.003104
10 5 Unsuited -0.475548 0.00905 -0.004304
10 4 Unsuited -0.534484 0.00905 -0.004837
10 3 Unsuited -0.599747 0.00905 -0.005428
10 2 Unsuited -0.661676 0.00905 -0.005988
9 8 Unsuited -0.199872 0.00905 -0.001809
9 7 Unsuited -0.336115 0.00905 -0.003042
9 6 Unsuited -0.472418 0.00905 -0.004275
9 5 Unsuited -0.604166 0.00905 -0.005468
9 4 Unsuited -0.751339 0.00905 -0.006799
9 3 Unsuited -0.798589 0.00905 -0.007227
9 2 Unsuited -0.859696 0.00905 -0.00778
8 7 Unsuited -0.436197 0.00905 -0.003947
8 6 Unsuited -0.567089 0.00905 -0.005132
8 5 Unsuited -0.696013 0.00905 -0.006299
8 4 Unsuited -0.841363 0.00905 -0.007614
8 3 Unsuited -0.979866 0.00905 -0.008868
8 2 Unsuited -1.015824 0.00905 -0.00905
7 6 Unsuited -0.614871 0.00905 -0.005564
7 5 Unsuited -0.738831 0.00905 -0.006686
7 4 Unsuited -0.881377 0.00905 -0.007976
7 3 Unsuited -1.013645 0.00905 -0.00905
7 2 Unsuited -1.140468 0.00905 -0.00905
6 5 Unsuited -0.74172 0.00905 -0.006712
6 4 Unsuited -0.872934 0.00905 -0.0079
6 3 Unsuited -1.000673 0.00905 -0.00905
6 2 Unsuited -1.127834 0.00905 -0.00905
5 4 Unsuited -0.819441 0.00905 -0.007416
5 3 Unsuited -0.942324 0.00905 -0.008528
5 2 Unsuited -1.068189 0.00905 -0.00905
4 3 Unsuited -1.001837 0.00905 -0.00905
4 2 Unsuited -1.125933 0.00905 -0.00905
3 2 Unsuited -1.18241 0.00905 -0.00905
Total 1 -0.007379

Player Hole Cards Side Bet

The following table shows the possible outcomes of the Player Hole Cards side bet. The lower right cell shows a house edge of 7.24%.

Player Hole Cards Side Bet
Hand Pays Combinations Probability Return
Two red aces5010.0007540.037707
Ace/king suited2540.0030170.075415
Pair of aces2050.0037710.075415
Pair J-K8180.0135750.108597
Pair 6-103300.0226240.067873
Pair 2-52240.01810.036199
Suited13080.2322780.232278
All other-19360.705882-0.705882
Total13261-0.072398

Final Hand Side Bet

The following table shows the possible outcomes of the Final Hand side bet. The lower right cell shows a house edge of 6.55%.

Final Hand Side Bet
Hand Pays Combinations Probability Return
Royal flush50043240.0000320.01616
Straight flush100372600.0002790.027851
Four of a kind402248480.0016810.067227
Full house834731840.0259610.207688
Flush640476440.0302550.18153
Straight461800200.0461940.184775
Three of a kind264616200.0482990.096597
All other-11133556600.8473-0.8473
Total1337845601-0.065472

Practice Game

Practice playing here.

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