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Cajun Stud

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Introduction

Cajun Stud is a table game by Galaxy Gaming that is the same as Mississippi Stud except with the side bets. In Cajun stud, a five-card player hand is revealed gradually. At three decision points along the way, the player may either raise his Ante bet by one to three times or fold.

Rules

Following are the rules for Cajun Stud.

  1. The game uses any number of ordinary 52-card playing cards.
  2. The Ante is the primary initial bet. In addition, the following side bets are available:
     
    • Board Bonus
    • Pocket Bonus
    • Lo Ball
  3. After bets are made, the players will each be dealt two cards. In addition, three community cards will be dealt face down.
  4. With the knowledge of two cards, the player may raise 1x to 3x his Ante bet or fold.
  5. The dealer shall deal reveal the first community card.
  6. With the knowledge of three cards, the player may again raise 1x to 3x his Ante bet or fold.
  7. The dealer shall deal reveal the second community card.
  8. With the knowledge of four cards, the player may again raise 1x to 3x his Ante bet or fold.
  9. The dealer shall deal reveal the third community card.
  10. All Ante and Raise bets shall be paid according to the pay table below.
  11. The Board Bonus shall be paid based on the three community cards.
  12. The Pocket Bonus shall be paid based on the player's two community cards.
  13. The Lo Ball shall be paid based on the player's final five-card hand, with the object being a low-scoring hand.
 

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Ante and Raise Pay Table

Event Pays
Royal flush 500
Straight flush 100
Four of a kind 40
Full house 10
Flush 6
Straight 4
Three of a kind 3
Two pair 2
Pair: jacks to aces 1
Pair: 6's to 10's Push
All other Loss
 

Pocket Bonus Pay Table

Event Pays
Pair of aces 25
Ace and face suited 20
Ace and face unsuited 10
Pair: 2's to K's 5
All other Loss

Board Bonus Pay Table

Event Pays
Royal flush 50
Straight flush 40
Three of a kind 30
Straight 6
Flush 3
Pair 1
All other Loss

Lo Ball Pay Table

Event Pays
7 high 100
8 high 50
9 high 15
10 high 5
J high 1
All other Loss

Strategy

For purposes of strategy, I introduce the following terms:

  • High card = jack to ace
  • Medium card = 6 to 10
  • Small card = 2 to 5

Here is the strategy for the first decision point, which is as follows:

  • Make large raise with any pair.
  • Make medium raise with any of the following:
    • At least one high card
    • Two medium cards
    • 5/6 suited
  • Fold with any of the following:
    • Two small cards
    • A small card and medium card, except 5-6 suited

You can find strategy for the second and third decision points in my page on Mississippi Stud.

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Ante & Raise Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Ante and Raise bets. The lower right cell shows a house edge of 4.91% with optimal player strategy.

Ante and Raise Analysis

Final Hand Bet Win Combinations Probability Return
Junk 4 -4 43,594,056 0.279561 -1.118244
Pair: 6's to 10's 4 0 5,078,808 0.032569 0.000000
Pair: J's to aces 4 4 5,396,544 0.034607 0.138428
Two pair 4 8 489,888 0.003142 0.025133
Three of a kind 4 12 163,296 0.001047 0.012566
Straight 4 16 216,288 0.001387 0.022192
Flush 4 24 0 0.000000 0.000000
Full house 4 40 0 0.000000 0.000000
Four of a kind 4 160 0 0.000000 0.000000
Straight flush 4 400 0 0.000000 0.000000
Royal flush 4 2000 0 0.000000 0.000000
Junk 6 -6 3,368,064 0.021599 -0.129593
Pair: 6's to 10's 6 0 4,795,632 0.030754 0.000000
Pair: J's to aces 6 6 5,075,616 0.032549 0.195294
Two pair 6 12 1,820,808 0.011677 0.140118
Three of a kind 6 18 641,256 0.004112 0.074021
Straight 6 24 137,376 0.000881 0.021143
Flush 6 36 185,808 0.001192 0.042896
Full house 6 60 14,040 0.000090 0.005402
Four of a kind 6 240 1,560 0.000010 0.002401
Straight flush 6 600 672 0.000004 0.002586
Royal flush 6 3000 0 0.000000 0.000000
Junk 8 -8 88,644 0.000568 -0.004548
Pair: 6's to 10's 8 0 3,459,060 0.022182 0.000000
Pair: J's to aces 8 8 4,124,256 0.026448 0.211585
Two pair 8 16 1,843,416 0.011821 0.189144
Three of a kind 8 24 851,544 0.005461 0.131059
Straight 8 32 7,968 0.000051 0.001635
Flush 8 48 22,440 0.000144 0.006907
Full house 8 80 96,984 0.000622 0.049755
Four of a kind 8 320 10,776 0.000069 0.022113
Straight flush 8 800 720 0.000005 0.003694
Royal flush 8 4000 240 0.000002 0.006156
Junk 10 -10 0 0.000000 0.000000
Pair: 6's to 10's 10 0 2,534,400 0.016253 0.000000
Pair: J's to aces 10 10 2,027,520 0.013002 0.130021
Two pair 10 20 1,026,432 0.006582 0.131647
Three of a kind 10 30 785,664 0.005038 0.151150
Straight 10 40 0 0.000000 0.000000
Flush 10 60 0 0.000000 0.000000
Full house 10 100 69,120 0.000443 0.044325
Four of a kind 10 400 20,160 0.000129 0.051713
Straight flush 10 1000 0 0.000000 0.000000
Royal flush 10 5000 0 0.000000 0.000000
Fold 1 -1 48451200 0.310709 -0.310709
Fold 2 -2 11,966,976 0.076742 -0.153484
Fold 3 -3 7,569,216 0.048540 -0.145620
Fold 4 -4 0 0.000000 0.000000
Fold 5 -5 1,152 0.000007 -0.000037
Fold 6 -6 0 0.000000 0.000000
Fold 7 -7 0 0.000000 0.000000
Total     155,937,600 1.000000 -0.049149

By the end of the hand, the average wager will be 3.589772 times the Ante bonus. That makes the Element of Risk, defined as the ratio of the expected loss to the total amount bet, 4.9149%/3.589772 = 1.37%.

Pocket Bonus Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Pocket Bonus. The lower right cell shows a house edge of 6.79% with optimal player strategy.

Pocket Bonus Analysis

Event Pays Combinations Probability Return
Pair of aces 25 6 0.004525 0.113122
Ace and face suited 20 12 0.009050 0.180995
Ace and face unsuited 10 36 0.027149 0.271493
Pair: 2's to K's 5 72 0.054299 0.271493
All other -1 1,200 0.904977 -0.904977
Total   1,326 1.000000 -0.067873

Lo Ball Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Pocket Bonus. The lower right cell shows a house edge of 6.79% with optimal player strategy.

Pocket Bonus Analysis

Event Pays Combinations Probability Return
7 high 100 4,080 0.001570 0.156986
8 high 50 14,280 0.005495 0.274725
9 high 15 34,680 0.013344 0.200157
10 high 5 70,380 0.027080 0.135400
J high 1 127,500 0.049058 0.049058
All other -1 2,348,040 0.903454 -0.903454
Total   2,598,960 1.000000 -0.087127

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Written by: Michael Shackleford