Poker Texas Holdem Wpt

4/9/2022by admin

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Introduction

Poker Texas Holdem Wpt

World Poker Tour All-In Hold'em is poker based table game found at many of the MGM/Mirage casinos in Las Vegas. There are two versions, both with the same name. In one, the player can raise up to 3X his Ante, and in the other, up to 10X his Ante. In the version addressed on this page, the player can raise up to 3X his ante bet. See World Poker Tour 10X Raise Hold 'Em, for the other 10X version. The rules are very 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

HandPays
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

HandPays
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 0.74%. The average wager is 3.756 units, so the Element of Risk is a very low 0.20%.

All In Hold 'Em 3X — Return Table under Optimal Strategy

WinCombinationsProbabilityReturn
410283346184040.3697211.478884
13734535024000.1342690.134269
0828603795920.0297910
-12265378192000.081448-0.081448
-410701946828040.384771-1.539084
Total27813810024001-0.007379

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

WinCombinationsProbabilityReturn
410896431562680.3917631.567053
14027339008000.1447960.144796
0892871778200.0321020
-411997167675120.431339-1.725354
Total27813810024001-0.013504

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
TypeRaiseProbabilityReturn
AAPair2.5370.0045250.01148
KKPair2.3222020.0045250.010508
QQPair2.123710.0045250.00961
JJPair1.9260.0045250.008715
1010Pair1.7280310.0045250.007819
99Pair1.4899930.0045250.006742
88Pair1.2660580.0045250.005729
77Pair1.0529310.0045250.004764
66Pair0.8554090.0045250.003871
55Pair0.6658630.0045250.003013
44Pair0.4609290.0045250.002086
33Pair0.267730.0045250.001211
22Pair0.085720.0045250.000388
AKSuited1.3177650.0030170.003975
AQSuited1.2493130.0030170.003769
AJSuited1.1820550.0030170.003566
A10Suited1.1166150.0030170.003368
A9Suited0.9747340.0030170.00294
A8Suited0.9006430.0030170.002717
A7Suited0.8216630.0030170.002479
A6Suited0.7395320.0030170.002231
A5Suited0.7347910.0030170.002217
A4Suited0.6672880.0030170.002013
A3Suited0.6095120.0030170.001839
A2Suited0.5541170.0030170.001672
KQSuited1.021530.0030170.003082
KJSuited0.9532090.0030170.002875
K10Suited0.8887430.0030170.002681
K9Suited0.748920.0030170.002259
K8Suited0.6137470.0030170.001851
K7Suited0.5487620.0030170.001655
K6Suited0.4789870.0030170.001445
K5Suited0.4191350.0030170.001264
K4Suited0.3490450.0030170.001053
K3Suited0.2890160.0030170.000872
K2Suited0.232410.0030170.000701
QJSuited0.7630870.0030170.002302
Q10Suited0.6981670.0030170.002106
Q9Suited0.5582690.0030170.001684
Q8Suited0.4262980.0030170.001286
Q7Suited0.2920910.0030170.000881
Q6Suited0.2377350.0030170.000717
Q5Suited0.1782560.0030170.000538
Q4Suited0.1080020.0030170.000326
Q3Suited0.0478170.0030170.000144
Q2Suited-0.0091040.003017-0.000027
J10Suited0.536380.0030170.001618
J9Suited0.3928040.0030170.001185
J8Suited0.2623030.0030170.000791
J7Suited0.1305980.0030170.000394
J6Suited0.000730.0030170.000002
J5Suited-0.0428730.003017-0.000129
J4Suited-0.1129190.003017-0.000341
J3Suited-0.173050.003017-0.000522
J2Suited-0.2299160.003017-0.000694
109Suited0.2544350.0030170.000768
108Suited0.1232360.0030170.000372
107Suited-0.0071190.003017-0.000021
106Suited-0.1351280.003017-0.000408
105Suited-0.2591730.003017-0.000782
104Suited-0.3130170.003017-0.000944
103Suited-0.3726810.003017-0.001124
102Suited-0.4291020.003017-0.001294
98Suited-0.0041890.003017-0.000013
97Suited-0.1306690.003017-0.000394
96Suited-0.2572630.003017-0.000776
95Suited-0.3805980.003017-0.001148
94Suited-0.5172010.003017-0.00156
93Suited-0.5600790.003017-0.00169
92Suited-0.6157480.003017-0.001857
87Suited-0.2247520.003017-0.000678
86Suited-0.346290.003017-0.001045
85Suited-0.4670370.003017-0.001409
84Suited-0.6018720.003017-0.001816
83Suited-0.7303230.003017-0.002203
82Suited-0.7626810.003017-0.002301
76Suited-0.3910980.003017-0.00118
75Suited-0.5072680.003017-0.00153
74Suited-0.6394440.003017-0.001929
73Suited-0.7621090.003017-0.002299
72Suited-0.879790.003017-0.002654
65Suited-0.5097580.003017-0.001538
64Suited-0.6315830.003017-0.001905
63Suited-0.7501460.003017-0.002263
62Suited-0.8681370.003017-0.002619
54Suited-0.5823470.003017-0.001757
53Suited-0.6963860.003017-0.002101
52Suited-0.8131490.003017-0.002453
43Suited-0.7520760.003017-0.002269
42Suited-0.8672970.003017-0.002616
32Suited-0.9201040.003017-0.002776
AKUnsuited1.2032630.009050.010889
AQUnsuited1.1304590.009050.01023
AJUnsuited1.0587990.009050.009582
A10Unsuited0.9889830.009050.00895
A9Unsuited0.8371170.009050.007576
A8Unsuited0.7565250.009050.006846
A7Unsuited0.6706610.009050.006069
A6Unsuited0.5813970.009050.005262
A5Unsuited0.5762030.009050.005215
A4Unsuited0.5025340.009050.004548
A3Unsuited0.4391670.009050.003974
A2Unsuited0.3781930.009050.003423
KQUnsuited0.8893440.009050.008048
KJUnsuited0.816510.009050.007389
K10Unsuited0.7476990.009050.006767
K9Unsuited0.5979830.009050.005412
K8Unsuited0.4525470.009050.004095
K7Unsuited0.3816470.009050.003454
K6Unsuited0.3057420.009050.002767
K5Unsuited0.2414990.009050.002186
K4Unsuited0.1651080.009050.001494
K3Unsuited0.0993950.009050.0009
K2Unsuited0.0371960.009050.000337
QJUnsuited0.6158540.009050.005573
Q10Unsuited0.5465290.009050.004946
Q9Unsuited0.3967350.009050.00359
Q8Unsuited0.2546820.009050.002305
Q7Unsuited0.1101690.009050.000997
Q6Unsuited0.0507790.009050.00046
Q5Unsuited-0.0130370.00905-0.000118
Q4Unsuited-0.0895870.00905-0.000811
Q3Unsuited-0.1554490.00905-0.001407
Q2Unsuited-0.2179590.00905-0.001972
J10Unsuited0.3759190.009050.003402
J9Unsuited0.2222220.009050.002011
J8Unsuited0.0817180.009050.00074
J7Unsuited-0.0601390.00905-0.000544
J6Unsuited-0.1999370.00905-0.001809
J5Unsuited-0.2467190.00905-0.002233
J4Unsuited-0.3230340.00905-0.002923
J3Unsuited-0.3888150.00905-0.003519
J2Unsuited-0.4512410.00905-0.004084
109Unsuited0.0764570.009050.000692
108Unsuited-0.0647970.00905-0.000586
107Unsuited-0.2052260.00905-0.001857
106Unsuited-0.3430410.00905-0.003104
105Unsuited-0.4755480.00905-0.004304
104Unsuited-0.5344840.00905-0.004837
103Unsuited-0.5997470.00905-0.005428
102Unsuited-0.6616760.00905-0.005988
98Unsuited-0.1998720.00905-0.001809
97Unsuited-0.3361150.00905-0.003042
96Unsuited-0.4724180.00905-0.004275
95Unsuited-0.6041660.00905-0.005468
94Unsuited-0.7513390.00905-0.006799
93Unsuited-0.7985890.00905-0.007227
92Unsuited-0.8596960.00905-0.00778
87Unsuited-0.4361970.00905-0.003947
86Unsuited-0.5670890.00905-0.005132
85Unsuited-0.6960130.00905-0.006299
84Unsuited-0.8413630.00905-0.007614
83Unsuited-0.9798660.00905-0.008868
82Unsuited-1.0158240.00905-0.00905
76Unsuited-0.6148710.00905-0.005564
75Unsuited-0.7388310.00905-0.006686
74Unsuited-0.8813770.00905-0.007976
73Unsuited-1.0136450.00905-0.00905
72Unsuited-1.1404680.00905-0.00905
65Unsuited-0.741720.00905-0.006712
64Unsuited-0.8729340.00905-0.0079
63Unsuited-1.0006730.00905-0.00905
62Unsuited-1.1278340.00905-0.00905
54Unsuited-0.8194410.00905-0.007416
53Unsuited-0.9423240.00905-0.008528
52Unsuited-1.0681890.00905-0.00905
43Unsuited-1.0018370.00905-0.00905
42Unsuited-1.1259330.00905-0.00905
32Unsuited-1.182410.00905-0.00905
Total1-0.007379

Player Hole Cards Side Bet

Texas

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

HandPaysCombinationsProbabilityReturn
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

Wpt

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

HandPaysCombinationsProbabilityReturn
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

Wpt Poker Texas Holdem

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Written by:Michael Shackleford
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