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Poker Down Under

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Introduction

Blackjack

Down Under Hold 'Em is a poker-based casino game in which the player has partial information about the dealer's hole cards. In particular, whether each falls in low, medium, or high ranges. The player has one opportunity to raise, the earlier he does the more he may raise, and the higher hand wins.

I saw the game at the 2019 Global Gaming Expo and was told it has placements at Barona, Eagle Mountain, and somewhere in Mexico.

Rules

Following are the rules for Down Under Hold 'Em.

  1. The game is played with a single ordinary 52-card deck.
  2. The player must make an equal bet on both the Ante and Bet, and can also make an optional Trips or Better and/or Match the Dealer side bets at this time.
  3. Two cards are dealt face down to the player and dealer. The player may look at his own cards.
  4. A card-reader, made specifically for this game and Down Under Blackjack, is used to identify the range of each of the dealer's hole cards. The dealer shall use it to indicate which range each dealer hole card falls into, as follows:
    • Small (blue): 2 to 5
    • Medium (red): 6 to 9
    • Large (gold): 10 to ace
  5. The player can check or make a Player wager equal to two or three times the Ante.
  6. The dealer turns over three community cards.
  7. If the player previously checked, then he may make a Play bet equal to his Ante or fold. If the player already made a Play bet, then he may not bet further.
  8. Two final community cards are turned over.
  9. The player and dealer will both make the best possible hand using any combination of their own two cards and the five community cards.
  10. The player's and dealer's best five-card hands shall be compared, the higher hand wins.
  11. There is no 'dealer qualifying' hand. In other words, all three bets always have action.
  12. If the player has the higher hand, then the Ante and Play wagers pay even money and the Bet wager pays according to the following pay table.
  13. If the dealer has the higher hand, then the Ante, Bet, and Play wagers shall all lose.
  14. If the dealer and player tie, then the Ante, Bet, and Play wagers shall all push.
  15. The Trips or Better bet will pay according to the poker value of the player's hand regardless of the value of the dealer's hand, according to one of the Trips or Better pay tables below. All wins are on a 'to one' basis.
  16. The Match the Dealer side bet pays based on whether the player's hole cards match those of the dealer in rank. The table below shows the pay tables available by the game maker.

Poker is any of a number of card games in which players wager over which hand is best according to that specific game's rules in ways similar to these rankings.Often using a standard deck, poker games vary in deck configuration, the number of cards in play, the number dealt face up or face down, and the number shared by all players, but all have rules which involve one or more rounds of betting. Re: Poker Rooms down under nah rake would only be 20% and use a 49 card deck. Rake free poker is what im after, unless we want to get a dealer in. Got 6 so far keen on a game. Without these stories poker would not be a part of the common man's life nor would it be booming in the land down under; Australia. Global news story number one is that of Chris Money Maker. Chrises unique and brilliant storey on his World Series of Poker win rocked the world.

Bet Wager Pay Table

Player HandPays
Royal flush500 to 1
Straight flush50 to 1
Four of a kind10 to 1
Full house3 to 1
Flush3 to 2
Straight1 to 1
All otherPush

The following table shows the Match the Dealer pay tables available to casino management.

Match the Dealer Pay Tables

EventP.T. 1P.T. 2P.T. 3P.T. 4
Four of a Kind2505005025
Three of a Kind25251010
2 Card Match101077
1 Card Match2233

The following table shows the Trips or Better pay tables available to casino management.

Trips or Better Pay Tables

EventP.T. 1P.T. 2P.T. 3P.T. 4
Royal Flush50505010050
Straight Flush4040404040
Four of a Kind3030303020
Full House98877
Flush76766
Straight45455
Three of a kind33333

Strategy

The following six tables show the strategy at the first decision point, according to all six possible range combinations for the dealer's two hole cards. If the strategy indicates making the large raise, it should always be 3x the Ante. A key follows the sixth table. Click any image for a larger version.

Dealer Cards Small and Small

Dealer Cards Small and Medium

Dealer Cards Small and Large

Dealer Cards Medium and Medium

Dealer Cards Medium and Large

Dealer Cards Large and Large

Key to Tables:
Y = Always make 3x raise
S = Make 3x raise only if player cards are suited
N = Check

General First Decision Strategy

Gordon Michaels created a single strategy chart for the first decision point, as follows. The Wizard would like to thank Gordon for his contribution.

A strategy for the second decision point has yet to be put in writing. I'm afraid you are on your own with that for now.

Base Game Analysis

Normally, I like to indicate the probability and contribution to the return for all possible events. However, for this game I am using the analysis by GLI, kindly provided to me by the game owners. That contains the following information.

  • Required initial bet = 2 units.
  • Average final wager = 3.896 units.
  • House edge, as defined as the ratio of expected loss to Ante wager = 2.89%
  • House edge, as defined as the ratio of expected loss to total initial wagers = 1.45%
  • Element of risk, as defined as the ratio of expected loss to total amount bet = 0.74%

Trips or Better Analysis

The following table shows my analysis of pay table 1. The lower right cell shows a house edge of 0.90%.

Trips or Better Pay Table 1 Analysis

EventPaysCombinationsProbabilityReturn
Royal flush5043240.0000320.001616
Straight flush37260372600.0002790.011140
Four of a kind2248482248480.0016810.050420
Full house347318434731840.0259610.233649
Flush404764440476440.0302550.211785
Straight618002061800200.0461940.184775
Three of a kind646162064616200.0482990.144896
All other1133556601133556600.847300-0.847300
Total1337845601337845601.000000-0.009018

The following table shows my analysis of pay table 2. The lower right cell shows a house edge of 1.90%.

Trips or Better Pay Table 2 Analysis

EventPaysCombinationsProbabilityReturn
Royal flush5043240.0000320.001616
Straight flush37260372600.0002790.011140
Four of a kind2248482248480.0016810.050420
Full house347318434731840.0259610.207688
Flush404764440476440.0302550.181530
Straight618002061800200.0461940.230969
Three of a kind646162064616200.0482990.144896
All other1133556601133556600.847300-0.847300
Total1337845601337845601.000000-0.019040

The following table shows my analysis of pay table 3. The lower right cell shows a house edge of 3.50%.

Trips or Better Pay Table 3 Analysis

EventPaysCombinationsProbabilityReturn
Royal flush5043240.0000320.001616
Straight flush37260372600.0002790.011140
Four of a kind2248482248480.0016810.050420
Full house347318434731840.0259610.207688
Flush404764440476440.0302550.211785
Straight618002061800200.0461940.184775
Three of a kind646162064616200.0482990.144896
All other1133556601133556600.847300-0.847300
Total1337845601337845601.000000-0.034979

The following table shows my analysis of pay table 4. The lower right cell shows a house edge of 4.34%.

Trips or Better Pay Table 4 Analysis

EventPaysCombinationsProbabilityReturn
Royal flush10043240.0000320.003232
Straight flush37260372600.0002790.011140
Four of a kind2248482248480.0016810.050420
Full house347318434731840.0259610.181727
Flush404764440476440.0302550.181530
Straight618002061800200.0461940.230969
Three of a kind646162064616200.0482990.144896
All other1133556601133556600.847300-0.847300
Total1337845601337845601.000000-0.043385

The following table shows my analysis of pay table 5. The lower right cell shows a house edge of 6.18%.

Trips or Better Pay Table 5 Analysis

EventPaysCombinationsProbabilityReturn
Royal flush5043240.0000320.001616
Straight flush37260372600.0002790.011140
Four of a kind2248482248480.0016810.033613
Full house347318434731840.0259610.181727
Flush404764440476440.0302550.181530
Straight618002061800200.0461940.230969
Three of a kind646162064616200.0482990.144896
All other1133556601133556600.847300-0.847300
Total1337845601337845601.000000-0.061808

Match the Dealer Analysis

The following table shows my analysis of pay table 1 of the Match the Dealer bet. The lower right cell shows a house edge of 6.37%.

Match the Dealer Pay Table 1 Analysis

EventPaysCombinationsProbabilityReturn
Four of a Kind250780.0000480.012005
Three of a Kind2514,9760.0092200.230492
2 Card Match1011,2320.0069150.069148
1 Card Match2329,4720.2028330.405666
Loser-11,268,5920.780984-0.780984
Total1,624,3501.000000-0.063673

Poker Down Under Central Coast

The following table shows my analysis of pay table 2 of the Match the Dealer bet. The lower right cell shows a house edge of 5.17%.

Match the Dealer Pay Table 2 Analysis

EventPaysCombinationsProbabilityReturn
Four of a Kind500780.0000480.024010
Three of a Kind2514,9760.0092200.230492
2 Card Match1011,2320.0069150.069148
1 Card Match2329,4720.2028330.405666
Loser-11,268,5920.780984-0.780984
Total1,624,3501.000000-0.051669

The following table shows my analysis of pay table 3 of the Match the Dealer bet. The lower right cell shows a house edge of 2.95%.

Match the Dealer Pay Table 3 Analysis

EventPaysCombinationsProbabilityReturn
Four of a Kind50780.0000480.002401
Three of a Kind1014,9760.0092200.092197
2 Card Match711,2320.0069150.048403
1 Card Match3329,4720.2028330.608499
Loser-11,268,5920.780984-0.780984
Total1,624,3501.000000-0.029484

The following table shows my analysis of pay table 4 of the Match the Dealer bet. The lower right cell shows a house edge of 3.07%.

Down Under Poker

Match the Dealer Pay Table 4 Analysis

Blackjack Down Under

EventPaysCombinationsProbabilityReturn
Four of a Kind25780.0000480.001200
Three of a Kind1014,9760.0092200.092197
2 Card Match711,2320.0069150.048403
1 Card Match3329,4720.2028330.608499
Loser-11,268,5920.780984-0.780984
Total1,624,3501.000000-0.030684

External Links

Discussion about Down under Hold 'Em in my forum at Wizard of Vegas.

Acknowledgements

I would like to thank Kyle Morris, the game owner, for sharing with me the GLI math report for the game. All due credit should go to GLI for the strategy and math component of the base game.

Poker Down Under Leaderboard


Written by:Michael Shackleford