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Ultimate Texas Hold 'Em, governed by Genting UK regulations

Introduction

On May 31, 2024 someone posted in my forum Unlike typical rules, Genting casinos in the UK grant an automatic even money payout on the Play bet when the dealer fails to qualify. The original poster shared a link to the rules on the casino's website for verification, and I have included a screenshot of these rules below.


Source: gentingcasinos.co.uk .

Some users, myself included, raised doubts about the accuracy of the website. However, the original poster is adamant about their experience at the casino, asserting that the site’s rules are indeed enforced. So far, I have not managed to confirm this. There are rumors suggesting that they may have lowered the payout table for the Blind bet, but the online rules indicate the standard payout structure of 1-1.5-3-10-50-100.

Rules

For the sake of this discussion, let's assume that the reader is already well-acquainted with the standard rules of the game. Ultimate Texas Hold 'Em According to those standard rules, the Play bet is always in action and pays out even money when the player is victorious. When it comes to the Play bet (also known as the Raise bet), whether or not the dealer qualifies with a pair is irrelevant.

However, as noted earlier, the Genting UK casinos have a unique approach where they automatically award the Play bet even money when the dealer does not qualify.

Strategy

Next, here's the player strategy detailing when to place the substantial 4x Play bet prior to the flop.

Beyond this point, I regret to say you will need to navigate the rest on your own.

Analysis

The table below illustrates the number of combinations for all potential 70 outcomes. Notably, the cell in the lower right corner reveals a player edge of 3.23%.

UTH Genting UK Rules Analysis

Event Raise Dealer
Qualifies
Pays Combinations Probability Return
Tie Small   0 244,203,656,052 0.013985 0.000000
Dealer wins Small No 0 317,625,826,668 0.018162 0.000000
Trash Small No 1 121,837,835,640 0.007467 0.007467
Pair Small No 1 281,654,011,992 0.016854 0.016854
Two pair Small No 1 16,808,196,048 0.000953 0.000953
Three of a kind Small No 1 - 0.000081 0.000081
Straight Small No 2 64,353,239,868 0.004031 0.008061
Flush Small No 2.5 13,704,915,276 0.001031 0.002578
Full house Small No 4 - 0.000000 0.000000
Four of a kind Small No 11 - 0.000000 0.000000
Straight flush Small No 51 61,039,080 0.000005 0.000279
Royal flush Small No 501 2,969,136 0.000000 0.000074
Dealer wins Small Yes -3 1,963,988,854,224 0.114264 -0.342792
Trash Small Yes 2 - 0.000000 0.000000
Pair Small Yes 2 227,249,742,360 0.013461 0.026922
Two pair Small Yes 2 338,882,863,992 0.020877 0.041754
Three of a kind Small Yes 2 39,321,578,100 0.002338 0.004675
Straight Small Yes 3 182,481,349,284 0.011727 0.035181
Flush Small Yes 3.5 61,890,642,180 0.005013 0.017546
Full house Small Yes 5 20,062,179,276 0.001359 0.006794
Four of a kind Small Yes 12 360,730,476 0.000024 0.000292
Straight flush Small Yes 52 671,190,684 0.000048 0.002498
Royal flush Small Yes 502 20,695,824 0.000001 0.000526
Fold Small   -2 1,867,521,945,960 0.109521 -0.219042
Tie Medium No 0 93,721,256,484 0.005935 0.000000
Dealer wins Medium No 1 1,806,611,496 0.000447 0.000447
Trash Medium No 2 2,607,223,992 0.000320 0.000640
Pair Medium No 2 404,485,721,172 0.024563 0.049127
Two pair Medium No 2 127,091,536,752 0.007579 0.015158
Three of a kind Medium No 2 - 0.000127 0.000254
Straight Medium No 3 17,107,192,932 0.001467 0.004402
Flush Medium No 3.5 8,433,713,124 0.001296 0.004536
Full house Medium No 5 - 0.000000 0.000000
Four of a kind Medium No 12 - 0.000000 0.000000
Straight flush Medium No 52 43,263,000 0.000013 0.000669
Royal flush Medium No 503 2,661,984 0.000000 0.000100
Dealer wins Medium No -4 935,776,514,280 0.057908 -0.231632
Trash Medium Yes 3 - 0.000000 0.000000
Pair Medium Yes 3 149,832,761,340 0.010482 0.031445
Two pair Medium Yes 3 621,604,470,324 0.038193 0.114580
Three of a kind Medium Yes 3 201,468,798,756 0.012353 0.037059
Straight Medium Yes 4 48,467,166,156 0.004260 0.017040
Flush Medium Yes 4.5 34,118,271,900 0.004927 0.022171
Full house Medium Yes 6 139,523,734,164 0.008637 0.051821
Four of a kind Medium Yes 13 8,703,989,892 0.000559 0.007261
Straight flush Medium Yes 53 557,791,476 0.000090 0.004769
Royal flush Medium Yes 503 39,250,656 0.000003 0.001275
Tie Large   0 62,047,081,200 0.014219 0.000000
Dealer wins Large No 3 21,048,498,000 0.006288 0.018865
Trash Large No 4 68,350,672,800 0.019092 0.076367
Pair Large No 4 124,079,529,600 0.040678 0.162714
Two pair Large No 4 26,243,366,400 0.007162 0.028650
Three of a kind Large No 4 - 0.002417 0.009670
Straight Large No 5 9,348,307,200 0.003939 0.019697
Flush Large No 5.5 3,876,501,240 0.002369 0.013027
Full house Large No 7 - 0.000000 0.000000
Four of a kind Large No 14 - 0.000000 0.000000
Straight flush Large No 54 11,032,200 0.000012 0.000674
Royal flush Large No 504 2,183,760 0.000003 0.001734
Dealer wins Large Yes -6 649,248,566,880 0.186389 -1.118335
Trash Large Yes 5 - 0.000000 0.000000
Pair Large Yes 5 203,197,684,920 0.067069 0.335345
Two pair Large Yes 5 214,108,796,760 0.075873 0.379363
Three of a kind Large Yes 5 51,668,078,160 0.017545 0.087727
Straight Large Yes 6 27,102,695,040 0.011854 0.071124
Flush Large Yes 6.5 19,128,293,640 0.011079 0.072015
Full house Large Yes 8 28,833,738,480 0.012587 0.100694
Four of a kind Large Yes 15 1,790,043,840 0.000942 0.014127
Straight flush Large Yes 55 136,452,840 0.000095 0.005232
Royal flush Large Yes 505 30,605,040 0.000023 0.011823
Total 0 0 0 10,068,347,520,000 1.000000 0.032339

It’s important to clarify that the player advantage of 3.23% pertains solely to the Ante bet. For instance, if a player wagers $100 on both the Ante and Blind, they can anticipate a $3.23 win.

The following table indicates the likelihood of each Play bet occurring.

  • Fold = 0.067144
  • Small (1x) = 0.274060
  • Medium (2x) = 0.179159
  • Large (4x) = 0.479638

The mean Play bet comes out to 2.550929 units. Thus, when factoring in the Ante and Blind, the average total wager stands at 4.550929 units. This leads to a calculated Element of Risk, defined as the average loss for the player against the total amount bet, resulting in -3.23%/4.550929 = -0.71%. Essentially, the player can expect to achieve a gain of 0.71% of the total amount wagered, considering all three bets.

By applying an optimal strategy based on conventional Ultimate Texas Hold 'Em rules, the player advantage is pegged at 1.22%.