Video 789betting Poker Appendix 2

April 14, 2022   |   by Crouse Linwood

 

 

 

A new video poker game (currently at the Orleans and Suncoast) pays the player both on the their initial 5-card hand and their hand after the draw. Half the coins bet will pay based on the intial hand and the other half based on the draw. If the player bets an odd number of coins then the extra coin will go toward the draw of one hand. The player may choose from 4 games and either 3 play, 5 play, or 10 play. The first coin bet will be on the draw of the first hand. The second coin bet will be on the deal of the first hand. The third coin bet will be on the draw of the second hand, and so on. After the player has bet at least 2 coins (one each on the draw and deal) on each hand then he will start to add a second coin to each of the hands. For the deal the player shall receive a separate set of cards per hand. However on the draw only the first hand shall be used with a separate set of replacement cards on each hand.

The following table is a summary of the return of each game on both the 789betting deal and the draw.

 

Double Pay Poker – Summary

Game Deal Draw Average

Deuces wild 97.14% 97.58% 97.36%

Double bonus 97.65% 97.74% 97.70%

Double double bonus 97.42% 97.87% 97.65%

Triple double bonus 97.42% 97.02% 97.22%

Deuces Wild

Following is the 25 cent pay table on the deal.

Deuces Wild – Deal

Hand Combinations Probability Pays Return

Natural royal flush 4 0.000002 12000 0.018469

Four deuces 48 0.000018 500 0.009234

Wild royal flush 480 0.000185 100 0.018469

Five of a Kind 624 0.00024 80 0.019208

Straight Flush 1412 0.000543 40 0.021732

Four of a Kind 32208 0.012393 12 0.148712

Full House 12672 0.004876 10 0.048758

Flush 14472 0.005568 6 0.03341

Straight Flush 62232 0.023945 4 0.09578

Three of a kind 355080 0.136624 2 0.273248

Two pair 95040 0.036568 2 0.073137

Pair Q-A 548928 0.211211 1 0.211211

All other 1475760 0.567827 0 0

Total 2598960 1 0.971367

The 2, 5 and 10 cent pay tables pay 50 for a 5 of a kind and 8 for a full house. This lowers the return to 0.954413.

 

Following is the 25 cent paytable for deuces wild on the draw.

 

Deuces Wild – Draw

Hand Payoff Number Probability Return

Natural royal flush 800 452369748 0.000023 0.018155

4 deuces 200 3682746696 0.000185 0.036951

Wild royal flush 20 35533966488 0.001783 0.035653

5 of a kind 12 59467319664 0.002983 0.035800

Straight flush 10 108508672848 0.005444 0.054436

4 of a kind 4 1213638759072 0.060885 0.243541

Full house 4 520548700824 0.026115 0.104458

Flush 3 422759779284 0.021209 0.063626

Straight 2 1158202099956 0.058104 0.116208

3 of a kind 1 5321219941188 0.266952 0.266952

Nothing 0 11089216161432 0.556318 0.000000

Total 19933230517200 1.000000 0.975781

The 2, 5, and 10 cent pay tables pay 8 for a straight flush and 10 for a 5 of a kind. This lowers the deal return to 0.959638.

 

Double Bonus

Following is the 25 cent pay table on the deal.

Double Bonus – Deal

Hand Combinations Probability Pays Return

royal flush 4 0.000002 12000 0.018469

straight flush 36 0.000014 500 0.006926

4 aces 48 0.000018 400 0.007388

4 2-4 144 0.000055 200 0.011081

4 5-K 432 0.000166 100 0.016622

full house 3744 0.001441 40 0.057623

flush 5108 0.001965 20 0.039308

straight 10200 0.003925 12 0.047096

3 of a kind 54912 0.021128 6 0.126771

2 pair 123552 0.047539 4 0.190156

pair J-A 337920 0.130021 2 0.260042

pair 5-10 506880 0.195032 1 0.195032

pair 2-4 253440 0.097516 0 0

nothing 1302540 0.501177 0 0

total 2598960 1 0.976514

The 2, 5 and 10 cent pay tables pay 10 for a straight and 35 for a full house. This lowers the return to 0.961462.

 

Following is the 25 cent paytable on the draw.

 

Double Bonus – Draw

Hand Payoff Probability Return

Royal Flush 800 0.000021 0.016610

Straight Flush 50 0.000112 0.005599

4 Aces 160 0.000223 0.035650

4 2s, 3s or 4s 80 0.000527 0.042133

4 5-K 50 0.001612 0.080607

Full House 9 0.010689 0.096197

Flush 7 0.016067 0.112471

Straight 4 0.012127 0.048508

3 of a kind 3 0.073699 0.221097

Two Pair 1 0.120432 0.120432

Jacks or Better 1 0.198110 0.198110

Nothing 0 0.566382 0.000000

Total Return 1.000000 0.977414

The 2, 5, and 10 cent pay table pays 6 for a flush, lowering the return to 0.963754.

 

Double Double Bonus

Following is the 25 cent pay table on the deal.

Double Double Bonus – Deal

Hand Combinations Probability Pays Return

royal flush 4 0.000002 12000 0.018469

straight flush 36 0.000014 500 0.006926

4 aces + 2-4 12 0.000005 1000 0.004617

4 2-4 + A-4 36 0.000014 400 0.005541

4 aces 36 0.000014 400 0.005541

4 2-4 108 0.000042 200 0.008311

4 5-K 432 0.000166 100 0.016622

full house 3744 0.001441 40 0.057623

flush 5108 0.001965 20 0.039308

straight 10200 0.003925 10 0.039246

3 of a kind 54912 0.021128 6 0.126771

2 pair 123552 0.047539 4 0.190156

pair J-A 337920 0.130021 2 0.260042

pair 5-10 506880 0.195032 1 0.195032

pair 2-4 253440 0.097516 0 0

nothing 1302540 0.501177 0 0

total 2598960 1 0.974205

The 2, 5 and 10 cent pay tables pay 16 cents for a flush. This lowers the return to 0.966343.

 

Following is the 25 cent pay table on the draw.

 

Double Double Bonus Poker – Draw

Hand Payoff Probability Return

Royal Flush 800 0.000025 0.019967

Straight Flush 50 0.000107 0.005326

4 Aces W 2,3,Or 4 400 0.000062 0.024648

4 2,3,Or4 W A-4 160 0.000143 0.022912

4 Aces 160 0.000174 0.027771

4 2,3,Or4 80 0.000384 0.030754

4 5-K 50 0.001632 0.081613

Full House 9 0.010868 0.097814

Flush 5 0.010976 0.054880

Straight 4 0.012942 0.051769

3 Of A Kind 3 0.075340 0.226021

Two Pair 1 0.123148 0.123148

Jacks Or Better 1 0.212105 0.212105

Nothing 0 0.552093 0.000000

Total Return 1.000000 0.978729

The 2, 5, and 10 cent pay tables lower the full house to 8, lowering the return to 0.967861.

Triple Double Bonus

The deal pay table is the same as that for Double Double Bonus.

Following is the 25 cent paytable on the draw.

 

Triple Double Bonus Poker – Draw

Hand Payoff Probability Return

Royal Flush 800 0.000026 0.020616

Straight Flush 50 0.000107 0.005336

4 Aces W 2,3,Or 4 800 0.000071 0.056472

4 2,3,Or4 W A-4 400 0.000173 0.069044

4 Aces 160 0.000150 0.023961

4 2,3,Or4 80 0.000320 0.025623

4 5-K 50 0.001620 0.081019

Full House 9 0.010521 0.094691

Flush 5 0.010963 0.054817

Straight 4 0.013657 0.054629

3 Of A Kind 2 0.075242 0.150485

Two Pair 1 0.122467 0.122467

Jacks Or Better 1 0.211042 0.211042

Nothing 0 0.553641 0.000000

Total Return 1.000000 0.970204

The 2, 5, and 10 cent pay tables pay 8 for a full house, lowering the return to 0.959687.