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• Sep 30, 2019 Ultimate Texas Hold ’Em Appendix 1 Introduction. The following table shows the probability of a large, medium, or small raise, or fold for each initial 2-card hand, as well as the expected value.

Ultimate Texas Hold'em Forget The House Edge? - Wizard Of Vegas

Introduction

Texas Hold'em Introduction Rules. A single 52-card deck is used. All cards count as its poker value. Aces may be high or low. One player is designated as the dealer, usually with a laminated marker.

Flushed began a field trial at the Stratosphere on February 2, 2021. The idea is that the dealer will deal cards from a 52-card deck until he obtains a flush. The player may bet on the color, suit, and poker value of this flush as well as how many cards it will take.

Rules

The following rules are based on the rack card for the game, as opposed to how they actually dealt the game, I would say incorrectly, at the time of my visit on February 5, 2021.

1. A single 52-card deck is used and shuffled before every round.
2. Players place their bets (listed below).
3. The dealer shall deal one card at a time.
4. As each card is dealt, the dealer will place it on a 4x4 grid according to it's suit and the count of the number of cards dealt in that suit.
5. The dealer will stop dealing under either of the following conditions:
   • Any given suit reaches five cards, indicating a flush.
   • Sixteen cards are dealt and no flush has been reached.
6. If a flushed is reached, then the dealer shall pay winning bets according to the suit of the flush, poker value of that flush, and the number of cards dealt.
7. If the dealer reaches 16 cards without a flush, then all bets shall lose except the bet on 17 cards. Note that in this situation, the 17th card must form a flush as all four suits already have a count of four.

The following table shows the available 'inside bets,' based on the total number of cards dealt. Pays are on a 'to one' basis.

Inside Bets Pay Table

Cards	Pays
5	400
6	100
7	40
8	20
9	12
10	9
11	7
12	5
13	5
14	5
15	7
16	12
17	35

The following table shows the available 'outside bets,' which are miscellaneous bets based on the number of cards dealt and the actual flush formed. Pays are on a 'to one' basis.

Outside Bets Pay Table

Cached

Bet	Pays
Color	1
Suit	3
Odd	1
Ace-high flush	1.5
Straight flush	100
Royal flush	1000
Total of 5 to 10	3
Total of 11 to 13	1.2
Total of 14 to 16	2

Notes
*: The odd bet loses on a total of 17 cards
**: The even bet pays 1 to 2 on a total of 10 cards

See Full List On Wizardofodds.com

Following are pictures of both sides of the rack card. Click on either image for a larger version.

Ultimate Texas Holdem - Wizard Of Vegas

Stratosphere Variant

As mentioned above, I am basing my rules on the rack card for the game. The way the game was actually dealt on my visit on February 5, 2021 was that color and suit bets did NOT lose if the dealer reached 16 cards without a flush. That would give these bets a zero house advantage.

I challenged the floor supervisor about the discrepancy between how she explained the rules to the rack card. Her response was, and I'm paraphrasing, 'The rack card is wrong. There are no inside and outside bets. Those are just words. We are dealing this game the way the makers of the game trained us.'

When I said it didn't seem professional to me to deal the game contrary to the posted rules, she said the rack was was 'just words' and 'the people who made the game were not dealers and didn't know what they were doing.'

That was as far as I took it, as it was clear she was getting annoyed with me. She said if I had anything additional to say, I could put it in a comment sheet about the game, which I did. I wrote the game was not being dealt according to the rule card and left my phone number for further details.

Analysis

The following table shows the probability of winning and house edge of all inside bets.

Inside Bets Analysis

Number of Cards	Pays	Prob. Win	House Edge
5	400	0.20%	20.57%
6	100	0.82%	17.00%
7	40	2.04%	16.50%
8	20	3.91%	17.94%
9	12	6.39%	16.88%
10	9	9.31%	6.95%
11	7	12.23%	2.16%
12	5	14.54%	12.78%
13	5	15.49%	7.07%
14	5	14.45%	13.30%
15	7	11.30%	9.61%
16	12	6.81%	11.48%
17	35	2.52%	9.21%

The following table shows the probability of winning and house edge of all outside bets, except the even bet.

Outside Bets Analysis

Bet	Pays	Prob. Win	House Edge
Color	1	48.74%	2.52%
Suit	3	24.37%	2.52%
Odd	1	47.65%	4.71%
Ace-high flush	1.5	38.31%	4.23%
Straight flush	100	0.70%	29.37%
Royal flush	1000	0.08%	22.22%
Total of 5 to 10	3	22.66%	9.35%
Total of 11 to 13	1.2	42.26%	7.04%
Total of 14 to 16	2	32.56%	2.32%

Following is my return table for the even bet, which has three possible outcomes. The bottom right cell shows a house edge of 4.99%.

Even Bet Analysis

Event	Pays	Probability	Return
Not 10	0.405262	1.0	0.405262
10	0.093050	0.5	0.046525
Loss	0.501687	-1.0	-0.501687
Total	1.000000	-0.049900

The mean number of cards to get to a flush is 12.3598.

Written by:Michael Shackleford

Introduction

Craps For Real Money Or Free - Wizard Of Odds

The following table shows the probability of a large, medium, or small raise, or fold for each initial 2-card hand, as well as the expected value.

Ultimate Texas Hold'em Return Table

Initial Hand	Probability Large Raise	Probability Medium Raise	Probability Small Raise	Probability Fold	Expected Value
2/3 unsuited	0	0.304286	0.243606	0.452109	-0.925837
2/4 unsuited	0	0.310306	0.241466	0.448228	-0.87256
2/5 unsuited	0	0.314337	0.242178	0.443485	-0.823324
2/6 unsuited	0	0.312194	0.233915	0.453891	-0.861363
2/7 unsuited	0	0.305357	0.231536	0.463107	-0.882806
2/8 unsuited	0	0.308878	0.237584	0.453539	-0.820061
2/9 unsuited	0	0.310612	0.28569	0.403698	-0.758211
2/10 unsuited	0	0.316633	0.38609	0.297277	-0.659454
2/J unsuited	0	0.322143	0.479439	0.198419	-0.567216
2/Q unsuited	0	0.333418	0.515782	0.1508	-0.452218
2/K unsuited	0	0.362551	0.525849	0.1116	-0.311296
2/A unsuited	1	0	0	0	0.04173
3/4 unsuited	0	0.323163	0.243305	0.433532	-0.760051
3/5 unsuited	0	0.322857	0.24694	0.430202	-0.708336
3/6 unsuited	0	0.319745	0.23938	0.440875	-0.745154
3/7 unsuited	0	0.31949	0.231853	0.448657	-0.767026
3/8 unsuited	0	0.313163	0.233988	0.452848	-0.784905
3/9 unsuited	0	0.314745	0.28581	0.399445	-0.708666
3/10 unsuited	0	0.319082	0.386977	0.293941	-0.610015
3/J unsuited	0	0.323929	0.490041	0.186031	-0.516712
3/Q unsuited	0	0.335612	0.530447	0.133941	-0.400884
3/K unsuited	0	0.371224	0.528731	0.100045	-0.258317
3/A unsuited	1	0	0	0	0.147447
4/5 unsuited	0	0.330102	0.253447	0.416451	-0.597704
4/6 unsuited	0	0.326939	0.24502	0.428041	-0.631146
4/7 unsuited	0	0.324184	0.239921	0.435895	-0.652204
4/8 unsuited	0	0.322398	0.238953	0.438649	-0.670508
4/9 unsuited	0	0.316939	0.28459	0.398471	-0.674678
4/10 unsuited	0	0.322449	0.388382	0.289169	-0.561652
4/J unsuited	0	0.328112	0.497765	0.174123	-0.467023
4/Q unsuited	0	0.340714	0.543068	0.116217	-0.350343
4/K unsuited	0	0.380714	0.531607	0.087679	-0.206014
4/A unsuited	1	0	0	0	0.249395
5/6 unsuited	0	0.332041	0.25253	0.415429	-0.520572
5/7 unsuited	0	0.329694	0.246692	0.423614	-0.538616
5/8 unsuited	0	0.327347	0.246239	0.426414	-0.556168
5/9 unsuited	0	0.325153	0.289475	0.385372	-0.560523
5/10 unsuited	0	0.326224	0.385557	0.288218	-0.527259
5/J unsuited	0	0.333418	0.501255	0.165327	-0.415855
5/Q unsuited	0	0.348673	0.557868	0.093458	-0.297525
5/K unsuited	1	0	0	0	-0.117582
5/A unsuited	1	0	0	0	0.358541
6/7 unsuited	0	0.335408	0.249535	0.415057	-0.430923
6/8 unsuited	0	0.33398	0.248153	0.417867	-0.446264
6/9 unsuited	0	0.33199	0.290571	0.377439	-0.450033
6/10 unsuited	0	0.333418	0.388159	0.278423	-0.416729
6/J unsuited	0	0.335918	0.495046	0.169035	-0.382895
6/Q unsuited	0	0.35352	0.558225	0.088255	-0.24873
6/K unsuited	1	0	0	0	-0.020774
6/A unsuited	1	0	0	0	0.339763
7/8 unsuited	0	0.338469	0.252622	0.408909	-0.340197
7/9 unsuited	0	0.33699	0.293185	0.369826	-0.341955
7/10 unsuited	0	0.340714	0.388049	0.271237	-0.305845
7/J unsuited	0	0.344745	0.493503	0.161752	-0.269829
7/Q unsuited	0	0.363418	0.554881	0.0817	-0.209388
7/K unsuited	1	0	0	0	0.081354
7/A unsuited	1	0	0	0	0.465996
8/9 unsuited	0	0.344286	0.289869	0.365845	-0.236111
8/10 unsuited	0	0.37148	0.366061	0.26246	-0.193462
8/J unsuited	0	0.370816	0.474244	0.154939	-0.154944
8/Q unsuited	1	0	0	0	-0.069429
8/K unsuited	1	0	0	0	0.166259
8/A unsuited	1	0	0	0	0.575314
9/10 unsuited	0	0.405153	0.334936	0.259911	-0.07946
9/J unsuited	0	0.42	0.427722	0.152278	-0.038548
9/Q unsuited	1	0	0	0	0.132505
9/K unsuited	1	0	0	0	0.371024
9/A unsuited	1	0	0	0	0.667695
10/J unsuited	1	0	0	0	0.174024
10/Q unsuited	1	0	0	0	0.369495
10/K unsuited	1	0	0	0	0.607484
10/A unsuited	1	0	0	0	0.906071
J/Q unsuited	1	0	0	0	0.455681
J/K unsuited	1	0	0	0	0.691991
J/A unsuited	1	0	0	0	0.991767
Q/K unsuited	1	0	0	0	0.782942
Q/A unsuited	1	0	0	0	1.080609
K/A unsuited	1	0	0	0	1.171914
2/3 suited	0	0.306071	0.271131	0.422798	-0.649268
2/4 suited	0	0.313265	0.268168	0.418567	-0.599061
2/5 suited	0	0.317857	0.268349	0.413794	-0.552398
2/6 suited	0	0.315867	0.260915	0.423218	-0.609673
2/7 suited	0	0.3125	0.25629	0.43121	-0.650352
2/8 suited	0	0.31801	0.260772	0.421218	-0.588712
2/9 suited	0	0.33301	0.294364	0.372625	-0.527903
2/10 suited	0	0.363316	0.365854	0.27083	-0.429841
2/J suited	0	0.395306	0.42622	0.178474	-0.33622
2/Q suited	0	0.422194	0.444596	0.133211	-0.22044
2/K suited	1	0	0	0	-0.074507
2/A suited	1	0	0	0	0.399855
3/4 suited	0	0.326582	0.269192	0.404226	-0.472659
3/5 suited	0	0.327041	0.272155	0.400804	-0.423657
3/6 suited	0	0.324745	0.264753	0.410502	-0.479822
3/7 suited	0	0.325969	0.256953	0.417078	-0.52088
3/8 suited	0	0.321837	0.257764	0.420399	-0.557778
3/9 suited	0	0.343112	0.290837	0.366051	-0.482501
3/10 suited	0	0.374031	0.361153	0.264816	-0.38425
3/J suited	0	0.401582	0.43196	0.166458	-0.289096
3/Q suited	0	0.427092	0.454265	0.118643	-0.172115
3/K suited	1	0	0	0	0.022
3/A suited	1	0	0	0	0.496714
4/5 suited	0	0.337908	0.275477	0.386615	-0.298984
4/6 suited	0	0.33699	0.266402	0.396608	-0.351849
4/7 suited	0	0.334388	0.2618	0.403812	-0.392104
4/8 suited	0	0.332398	0.261349	0.406253	-0.429525
4/9 suited	0	0.35398	0.283815	0.362206	-0.452472
4/10 suited	0	0.392857	0.351632	0.255511	-0.339384
4/J suited	0	0.413673	0.432751	0.153576	-0.242526
4/Q suited	0	0.436429	0.460315	0.103256	-0.124449
4/K suited	1	0	0	0	0.117016
4/A suited	1	0	0	0	0.590105
5/6 suited	0	0.348316	0.268747	0.382936	-0.226888
5/7 suited	0	0.34449	0.264516	0.390994	-0.264165
5/8 suited	0	0.344949	0.262638	0.392413	-0.30074
5/9 suited	0	0.381378	0.275176	0.343446	-0.323487
5/10 suited	0	0.409388	0.339889	0.250723	-0.308004
5/J suited	0	0.423316	0.431525	0.145159	-0.194062
5/Q suited	0	0.442245	0.471463	0.086292	-0.07447
5/K suited	1	0	0	0	0.219148
5/A suited	1	0	0	0	0.690217
6/7 suited	0	0.35551	0.262945	0.381544	-0.140962
6/8 suited	0	0.360102	0.257902	0.381996	-0.174977
6/9 suited	0	0.390561	0.273507	0.335932	-0.196585
6/10 suited	0	0.419184	0.339803	0.241014	-0.18096
6/J suited	0	0.429286	0.424012	0.146703	-0.163644
6/Q suited	1	0	0	0	-0.006074
6/K suited	1	0	0	0	0.309149
6/A suited	1	0	0	0	0.649275
7/8 suited	0	0.374796	0.254913	0.370291	-0.052754
7/9 suited	0	0.398367	0.273578	0.328054	-0.071685
7/10 suited	0	0.424694	0.340031	0.235275	-0.053435
7/J suited	0	0.432806	0.425739	0.141455	-0.034445
7/Q suited	1	0	0	0	0.062776
7/K suited	1	0	0	0	0.403899
7/A suited	1	0	0	0	0.767431
8/9 suited	0	0.414286	0.26514	0.320574	0.051069
8/10 suited	0	0.445663	0.324835	0.229502	0.075411
8/J suited	1	0	0	0	0.107386
8/Q suited	1	0	0	0	0.278932
8/K suited	1	0	0	0	0.481611
8/A suited	1	0	0	0	0.86889
9/10 suited	0	0.477194	0.296558	0.226249	0.205485
9/J suited	1	0	0	0	0.317837
9/Q suited	1	0	0	0	0.489199
9/K suited	1	0	0	0	0.694571
9/A suited	1	0	0	0	0.953564
10/J suited	1	0	0	0	0.778841
10/Q suited	1	0	0	0	0.943595
10/K suited	1	0	0	0	1.148469
10/A suited	1	0	0	0	1.409312
J/Q suited	1	0	0	0	1.024156
J/K suited	1	0	0	0	1.2275
J/A suited	1	0	0	0	1.489507
Q/K suited	1	0	0	0	1.31262
Q/A suited	1	0	0	0	1.572705
K/A suited	1	0	0	0	1.658326
2/2 pair	0	0.144388	0.792662	0.06295	-0.179478
3/3 pair	1	0	0	0	0.088456
4/4 pair	1	0	0	0	0.46157
5/5 pair	1	0	0	0	0.831643
6/6 pair	1	0	0	0	1.159873
7/7 pair	1	0	0	0	1.486948
8/8 pair	1	0	0	0	1.811461
9/9 pair	1	0	0	0	2.132513
10/10 pair	1	0	0	0	2.480803
J/J pair	1	0	0	0	2.749739
Q/Q pair	1	0	0	0	3.018649
K/K pair	1	0	0	0	3.289359
A/A pair	1	0	0	0	3.601073

Go back to my Ultimate Texas Hold ’Em main page.

Ultimate Texas Hold'em Trips Bet

Written by:Michael Shackleford