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Big Raise Stud Poker

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Introduction

I first encountered Big Raise Stud Poker at the Golden Nugget in Las Vegas on January 9, 2014. Prior to this, the game was featured at the Venetian. It's a straightforward poker game where the outcome depends solely on the player's five-card hand. It's akin to other poker variations, but the unique aspect here is that players have just one opportunity to raise, which they can do up to four times their initial Ante. Below, I will outline the full set of rules. Mississippi Stud Participate in slot tournaments boasting enormous prize pools

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This game utilizes a standard deck of 52 cards.

Live games

Rules

  1. The dealer is responsible for dealing each player three cards along with two community cards, which are placed face down.
  2. The player makes an Ante bet.
  3. Players can either decide to fold their hand or make a Raise bet, which can be from one to four times the amount of their Ante bet.
  4. The player may examine his own cards.
  5. After the initial dealing, the dealer will flip over the two community cards for everyone to see.
  6. Both the Ante and Raise bets pay out based on the pay table provided below.
  7. In addition, there are two side bets that I will describe in further detail shortly.

    Ante & Raise Pay Table

    Hand Pays
    Royal flush 500 to 1
    Straight flush 100 to 1
    Four of a kind 40 to 1
    Full house 8 to 1
    Flush 6 to 1
    Straight 4 to 1
    Three of a kind 3 to 1
    Two pair 2 to 1
    High pair (10-ace) 1 to 1
    Medium pair (6-9) Push
    All other Loss
  8. For the purpose of discussing strategy, I will use the following symbols:

Strategy

Three cards that can form a straight flush with no gaps, with a minimum value of five or lower.

  • High card = 10 to ace.
  • Medium card = 6 to 9.
  • Low card = 2 to 5.

Make a 4x raise with:

  • Three of a kind.
  • Medium or high pair.
  • Three to a royal flush.
  • Three cards that can form a straight flush with one gap, with a minimum value of six or lower.
  • Three cards that can create a straight flush with two gaps and at least two high-ranking cards.
  • Three cards that can establish a straight with one or fewer gaps and two medium-ranking cards.

Make a 1x raise with:

  • Three to a flush.
  • Low pair.
  • All three cards medium or high.
  • Two high cards and one low card.
  • The table below lists all possible results for the game, and you'll notice that the lower right cell indicates a house edge of 2.58%.

Analysis

On average, players are likely to make a 4x raise 12.49% of the time, a 1x raise 44.62% of the time, and fold 42.90% of the time. This results in an average final bet of 1.95 units. Therefore, the

Big Raise Stud Poker — Return Table

Hand Raise Pays Combinations Probability Return
Royal flush 4 2500 40 0.000002 0.003848
Straight flush 4 500 168 0.000006 0.003232
Four of a kind 4 200 5,088 0.000196 0.039154
Full house 4 40 27,072 0.001042 0.041666
Flush 4 30 5,012 0.000193 0.005785
Straight 4 20 3,120 0.000120 0.002401
Three of a kind 4 15 284,052 0.010929 0.163942
Two pair 4 10 516,348 0.019867 0.198675
High pair (10-ace) 4 5 1,295,304 0.049839 0.249197
Medium pair (6-9) 4 0 1,031,136 0.039675 0.000000
Loser 4 -5 78,420 0.003017 -0.015087
Royal flush 1 1000 - 0.000000 0.000000
Straight flush 1 200 192 0.000007 0.001478
Four of a kind 1 80 1,152 0.000044 0.003546
Full house 1 16 10,368 0.000399 0.006383
Flush 1 12 46,068 0.001773 0.021271
Straight 1 8 64,320 0.002475 0.019799
Three of a kind 1 6 179,748 0.006916 0.041497
Two pair 1 4 463,212 0.017823 0.071292
High pair (10-ace) 1 2 1,891,896 0.072794 0.145589
Medium pair (6-9) 1 0 1,135,584 0.043694 0.000000
Loser 1 -2 7,802,820 0.300229 -0.600457
Fold -1 11,148,480 0.428959 -0.428959
Total 25,989,600 1.000000 -0.025751

The 3 Card Bonus is a side bet that pays out based on the player's first three cards alone. Statistically, it mirrors the Pairplus bet found in Three Card Poker. element of risk is 1.32%.

3 Card Bonus

The return table provided shows that this side bet has a house edge of 7.28%.

The Progressive is a $1 side bet linked to the player's final five-card hand. If a player achieves a royal flush, they win a progressive jackpot, and a straight flush earns 10% of that jackpot. Additionally, there are envy bonuses awarded if another player has a straight flush or higher.

3 Card Bonus

Hand Pays Combinations Probability Return
Straight flush 40 48 0.002172 0.086878
Three of a kind 30 52 0.002353 0.070588
Straight 6 720 0.032579 0.195475
Flush 3 1096 0.049593 0.148778
Pair 1 3744 0.169412 0.169412
Loser -1 16440 0.743891 -0.743891
Total   22100 1.000000 -0.072760

Progressive Bet

The table below depicts returns based on a theoretical jackpot of $100,000. All winnings are calculated on a 'one for one' basis. The lower right cell indicates a return rate of 82.30%, implying a house edge of 17.70%.

Overall, the payout from the progressive jackpot stands at 53.06%, with an added 2.92% per each $10,000 in the meter, and an extra 0.57% for every additional player seated at the table. The break-even point for the jackpot, with no players present at the table, is calculated at $160,530.53.

Progressive Bet

Hand Pays Combinations Probability Return
Royal flush 100000 4 0.000002 0.153908
Straight flush 10000 36 0.000014 0.138517
Four of a kind 300 624 0.000240 0.072029
Full house 50 3,744 0.001441 0.072029
Flush 40 5,108 0.001965 0.078616
Straight 30 10,200 0.003925 0.117739
Three of a kind 9 54,912 0.021128 0.190156
All other 0 2,524,332 0.971285 0.000000
Total   2,598,960 1.000000 0.822994

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Acknowledgment

My thanks to Stephen How of Discount Gambling for his help with the strategy.