﻿ token wikiCaribbean Stud Poker - ugslot of Odds

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# Caribbean Stud Poker

## Rules

1. Player makes an ante wager plus an optional \$1 progressive side bet
2. Each player and the dealer get five cards each. All cards are dealt face down, except one dealer card is exposed. The player may examine his own cards but sharing of information is not allowed.
3. Player must fold or raise.
4. If player folds he forfeits his cards, ante bet, and side bet (if made)
5. If player raises then he must make a raise wager exactly equal to twice the ante
6. The dealer will turn over his other four cards
7. The dealer must have an ace and a king or higher to qualify. In other words, the lowest qualifying hand would be ace, king, 4, 3, 2 and the highest non-qualifying hand would be ace, queen, jack, 10, 9. If the dealer does not qualify the player will win even money on his ante wager and the raise will push.
8. If the dealer qualifies and beats the player, both ante and raise will lose.
9. If the dealer qualifies and loses to the player, then the ante will pay even money and the raise according to the posted pay table. The U.S. pay table is shown below.
10. If the player and dealer tie, both ante and raise will push.
11. The progressive side bet will be entirely based on the poker value of the player's hand. Various pay tables are available.

### U.S. Raise Pay Table

Hand Pays
Royal flush 100 to 1
Straight flush 50 to 1
Four of a kind 20 to 1
Full house 7 to 1
Flush 5 to 1
Straight 4 to 1
Three of a kind 3 to 1
Two pair 2 to 1
All other 1 to 1

## House Edge

The following table shows all the possible outcomes, assuming the U.S. pay table is used and the player follows optimal strategy.

### U.S. Rules Return TableExpand

Event Pays Units Won Combinations Probability Return
Player wins with royal flush 100 to 1 201 16759740 0.000001 0.000169
Player wins with straight flush 50 to 1 101 156929720 0.000008 0.000795
Player wins with four of a kind 20 to 1 41 2832435800 0.000142 0.005826
Player wins with full house 7 to 1 15 16624475280 0.000834 0.01251
Player wins with flush 5 to 1 11 21856990280 0.001097 0.012062
Player wins with straight 4 to 1 9 43805516100 0.002198 0.019779
Player wins with three of a kind 3 to 1 7 234242908320 0.011751 0.08226
Player wins with two pair 2 to 1 5 488012139360 0.024482 0.122412
Player wins with pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Dealer doesn't qualify   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1 -0.052243

The lower right cell in the above table shows a house edge of 5.224%. However, I think this makes Caribbean Stud look like a worse bet than it really is. The house edge is traditionally defined as the expected loss to the original wager. In Caribbean Stud Poker the optimal strategy player will raise 52.23% of the time, for an average total wager of 2.045 units. For comparing one game against another I prefer to use the element of risk, which is the expected loss to the average wager, which in this case would be 5.224%/2.045 = 2.555%. The standard deviation, relative to the Ante bet, is 2.24.

## Strategy

Optimal strategy in Caribbean Stud is very complicated. The number of people who know it perfectly is probably zero. However, we can make two generalizations that cover most hands.

1. Always raise with a pair or higher.
2. Always fold with less than the dealer's qualifying hand (ace/king)

It is the ace/king hands that are tricky. In general it helps if the three singletons are high or the dealer's up card is jack or less and matches one of the player's cards (making is less likely the dealer will form a pair). I personally developed the following strategy, which results in a house edge of 5.225%, just 0.001% less than optimal. If that isn't enough for you I do have the Caribbean Stud optimal strategy.

The ugslot's Caribbean Stud Poker Strategy

Always raise with a pair or higher, fold with less than ace/king, and raise on ace/king if any of the following three rules apply.

1. Raise if the dealer's card is a 2 through queen and matches one of yours.
2. Raise if the dealer's card is an ace or king and you have a queen or jack in your hand.
3. Raise if the dealer's rank does not match any of yours and you have a queen in your hand and the dealer's card is less than your fourth highest card.

Following are details on various strategies. The "total loss" is the loss over all possible 19,933,230,517,200 combinations of hands, the house edge, and the element of risk.

### U.S. Raise Pay Table

Strategy Total loss House edge Element of risk
Perfect strategy 1,041,372,912,372 5.224% 2.555%
ugslot's Strategy 1,041,417,758,724 5.225% 2.554%
Raise on ace/king/jack/8/3 or higher 1,059,715,400,580 5.316% 2.596%
Raise if dealer's up card matches the rank of any player card 1,063,176,931,284 5.334% 2.616%
Raise on any pair or better 1,090,272,101,460

5.470%

2.738%
Raise on any ace/king or better 1,132,600,203,540 5.682% 2.672%
Playing blind (raise on everything) 3,310,360,338,060 16.607% 5.536%

## Alternate Rules

Outside the United States other pay tables are available, especially on the Internet. Here are return tables for some of the alternative pay tables I am aware of. The strategy is the same as the U.S. strategy, in all cases.

### Normandie Casino — Gardena, California

Event Units Won Combinations Probability Return
Player wins with royal flush 21 16759740 0.000001 0.000018
Player wins with straight flush 19 156929720 0.000008 0.00015
Player wins with four of a kind 17 2832435800 0.000142 0.002416
Player wins with full house 15 16624475280 0.000834 0.01251
Player wins with flush 13 21856990280 0.001097 0.014255
Player wins with straight 11 43805516100 0.002198 0.024174
Player wins with three of a kind 7 234242908320 0.011751 0.08226
Player wins with two pair 5 488012139360 0.024482 0.122412
Player wins with pair 3 2324742321600 0.116626 0.349879
Player wins with nothing 3 18505682208 0.000928 0.002785
Dealer doesn't qualify 1 4532514033720 0.227385 0.227385
Tie 0 321623100 0.000016 0
Player folds -1 9523005974460 0.477745 -0.477745
Player loses -3 2726592727512 0.136786 -0.410359
Total   19933230517200 1 -0.049862

### Casino de Crans-Montana (Switzerland)

Event Raise Pays Units Won Combinations Probability Return
Royal flush 100 to 1 201 16759740 0.000001 0.000169
Straight flush 50 to 1 101 156929720 0.000008 0.000795
Four of a kind 20 to 1 41 2832435800 0.000142 0.005826
Full house 9 to 1 19 16624475280 0.000834 0.015846
Flush 7 to 1 15 21856990280 0.001097 0.016448
Straight 4 to 1 9 43805516100 0.002198 0.019779
Three of a kind 3 to 1 7 234242908320 0.011751 0.08226
Two pair 2 to 1 5 488012139360 0.024482 0.122412
Pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Ante only   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1 -0.044521

### Galewind Software Internet Casinos

Event Raise Pays Units Won Combinations Probability Return
Royal flush 800 to 1 1601 16759740 0.000001 0.001346
Straight flush 200 to 1 401 156929720 0.000008 0.003157
Four of a kind 25 to 1 51 2832435800 0.000142 0.007247
Full house 10 to 1 21 16624475280 0.000834 0.017514
Flush 7 to 1 15 21856990280 0.001097 0.016448
Straight 5 to 1 11 43805516100 0.002198 0.024174
Three of a kind 3 to 1 7 234242908320 0.011751 0.08226
Two pair 2 to 1 5 488012139360 0.024482 0.122412
Pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Ante only   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1 -0.033498

### Microgaming Internet Casinos

Event Raise Pays Units Won Combinations Probability Return
Player wins with royal flush 999 to 1 1999 16759740 0.000001 0.001681
Player wins with straight flush 199 to 1 399 156929720 0.000008 0.003141
Player wins with four of a kind 99 to 1 199 2832435800 0.000142 0.028277
Player wins with full house 14 to 1 29 16624475280 0.000834 0.024186
Player wins with flush 9 to 1 19 21856990280 0.001097 0.020834
Player wins with straight 5 to 1 11 43805516100 0.002198 0.024174
Player wins with three of a kind 3 to 1 7 234242908320 0.011751 0.08226
Player wins with two pair 1 to 1 3 488012139360 0.024482 0.073447
Player wins with pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Dealer doesn't qualify   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1 -0.050055

### Cryptologic Internet Casinos

Event Raise Pays Units Won Combinations Probability Return
Player wins with royal flush 200 to 1 401 16759740 0.000001 0.000337
Player wins with straight flush 50 to 1 101 156929720 0.000008 0.000795
Player wins with four of a kind 20 to 1 41 2832435800 0.000142 0.005826
Player wins with full house 7 to 1 15 16624475280 0.000834 0.01251
Player wins with flush 5 to 1 11 21856990280 0.001097 0.012062
Player wins with straight 4 to 1 9 43805516100 0.002198 0.019779
Player wins with three of a kind 3 to 1 7 234242908320 0.011751 0.08226
Player wins with two pair 2 to 1 5 488012139360 0.024482 0.122412
Player wins with pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Dealer doesn't qualify   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1 -0.052075

### Sands Macau

Event Raise Pays Units Won Combinations Probability Return
Player wins with royal flush 50 to 1 101 16759740 0.000001 0.000085
Player wins with straight flush 50 to 1 101 156929720 0.000008 0.000795
Player wins with four of a kind 20 to 1 41 2832435800 0.000142 0.005826
Player wins with full house 7 to 1 15 16624475280 0.000834 0.012510
Player wins with flush 5 to 1 11 21856990280 0.001097 0.012062
Player wins with straight 4 to 1 9 43805516100 0.002198 0.019779
Player wins with three of a kind 3 to 1 7 234242908320 0.011751 0.082260
Player wins with two pair 2 to 1 5 488012139360 0.024482 0.122412
Player wins with pair or less 1 to 1 3 2343248003808 0.117555 0.352665
Dealer doesn't qualify   1 4532514033720 0.227385 0.227385
Push   0 321623100 0.000016 0.000000
Fold   -1 9523005974460 0.477745 -0.477745
Dealer wins   -3 2726592727512 0.136786 -0.410359
Total     19933230517200 1.000000 -0.052327

## 5+1 Bonus

Evolution Gaming offers a Live Dealer game with a side bet titled 5+1. It pays based on the combined poker value of the player's five cards and dealer's up card only. The following table shows the pay table and my analysis of it. The lower right cell shows a house edge of 8.56%.

### 5+1 Bonus

Event Pays Combinations Probability Return
Royal flush 1000 188 0.000009 0.009234
Straight flush 200 1,656 0.000081 0.016268
Four of a kind 100 14,664 0.000720 0.072029
Full house 20 165,984 0.008153 0.163061
Flush 15 205,792 0.010108 0.151626
Straight 10 361,620 0.017763 0.177626
Three of a kind 7 732,160 0.035963 0.251743
Loss -1 18,876,456 0.927202 -0.927202
Total   20,358,520 1.000000 -0.085614

The six-card poker probabilities taken from my Poker Probabilities page.

## Progressive Jackpot Side Bet

In Caribbean Stud Poker the player has the choice to make a side bet of \$1 which pays for hands of a flush or better.The specific payoff tables vary from place to place but always feature a progressive jackpot, paying 100% of the jackpot meter for a royal flush and 10% for a straight flush. In the very unlikely event that two players had a royal flush in the same hand the first one to the dealer's right would win the jackpot and the second would win whatever the jackpot is reseeded to, usually \$10,000. The reason for this is the dealer pays players from right to left. In the event that two players received a straight flush at the same time, the first one to the dealer's right would get 10% of the meter and the second would get 10% of what was left after the first player was paid. I have heard (but can not confirm) that once in the same hand one player got a royal flush and another player got a straight flush. The player with the royal was closer to the dealer's right and thus got the full jackpot amount. The meter was then reseeded to \$10,000 and the player with the straight flush got only 10% or that, or \$1,000.

While the expected return varies depending on the size of the jackpot, it is a sucker bet the vast majority of time.The average house edge is 26.46%.

A manager at Casino Niagara kindly explained how the jackpot meter works. For every dollar bet, 71 cents goes into the jackpot and the casino keeps the other 29 cents. A dealer at one of the Connecticut casinos said the contribution rate at his casino was only 65%. This rate of contribution can vary from place to place. All payoffs are paid right out of the meter. Every time somebody hits a royal flush the house contributes \$10,000 (called the seed) to the next jackpot. The house edge is just under the cut per bet because the casino puts up the initial seed to start a ugslot jackpot after somebody wins the previous one. At the Casino Niagara the house can expect to receive 18.84times as much money from the 29% cut as it pays to seed ugslot jackpots.

The next two tables show 11 side bet pay tables I have seen or heard about. The pay table number and pay table itself are listed in the top rows. The third row from the bottom is how much the flat wins contribute to the return. The second row from the bottom is how much the progressive wins contribute to the return for each \$10,000 in the meter. The bottom row is the break even point, or how high the meter would need to reach for the return to be 100%.

### Side Bet Pay Tables 1 to 5

Hand 1 2 3 4 5
Royal flush 100% 100% 100% 100% 100%
Straight flush 10% 10% 10% 10% 10%
Four of a kind \$100 \$150 \$500 \$500 \$500
Full house \$75 \$100 \$100 \$150 \$75
Flush \$50 \$50 \$50 \$75 \$50
Straight \$0 \$0 \$0 \$0 \$0
Three of a kind \$0 \$0 \$0 \$0 \$0
Flat wins 0.230323 0.278345 0.36238 0.483546 0.326369
Return per 10K in meter 0.029242 0.029242 0.029242 0.029242 0.029242
Breakeven meter \$263205.26 \$246783.16 \$218045.79 \$176611.05 \$230360.53

### Side Bet Pay Tables 6 to 10

Hand 6 7 8 9 10
Royal flush 100% 100% 100% 100% 100%
Straight flush 10% 10% 10% \$5000 \$20000
Four of a kind \$500 \$500 \$500 \$500 \$500
Full house \$100 \$150 \$150 \$100 \$100
Flush \$75 \$100 \$100 \$50 \$50
Straight \$0 \$0 \$0 \$0 \$0
Three of a kind \$0 \$0 \$0 \$0 \$0
Flat wins 0.41152 0.532685 0.532687 0.431648 0.639425
Return per 10K in meter 0.029242 0.029242 0.029242 0.015391 0.015391
Breakeven meter \$201241.58 \$159806.84 \$159806.32 \$369281 \$234280

### Side Bet Pay Tables 11 to 15

Hand 11 12 13 14 15
Table 11 12 13 14 15
Royal flush 100% 100% 100% \$5000 100%
Straight flush 10% 10% 10% \$1000 \$4000
Four of a kind 1% 5% \$250 \$500 \$400
Full house \$150 \$150 \$150 \$100 \$80
Flush \$75 \$75 \$100 \$75 \$40
Straight \$50 \$50 \$0 \$30 \$0
Three of a kind \$0 \$0 \$0 \$7 \$0
Flat wins 0.559724 0.559724 0.472651 0.543123 0.345307
Return per 10K in meter 0.053252 0.14929 0.029242   0.015391
Breakeven meter \$82677.75 \$29491.24 \$180336.84   \$425380

### Side Bet Pay Tables 16 to 20

Hand 16 17 18 19 20
Table 16 17 18 19 20
Royal flush 100% \$10,000 \$10,000 100% \$5,000
Straight flush 10% \$1500 \$2500 10% \$1000
Four of a kind \$600 \$500 \$500 \$500 \$500
Full house \$100 \$100 \$100 \$100 \$100
Flush \$60 \$75 \$50 \$50 \$75
Straight \$40 \$0 \$0 \$25 \$30
Three of a kind \$0 \$0 \$0 \$0 \$7
Flat wins 0.563025 0.432314 0.397033 0.460492 0.550797
Return per 10K in meter 0.029242 0 0 0.029242
Breakeven meter \$149,431.58 \$0 \$0 \$184,494.74

Here is where the above pay tables have been known to appear.

1. United States
2. United States
3. United States
4. United States
5. United States
6. United States
7. United States, Sydney (Australia)
8. United States
9. Northern Indiana
10. Microgaming Internet casinos
11. Curacao
12. Spain
13. Aces.com Internet casino
14. Germany
15. Sweden
16. Crown Casino in Melbourne, Australia
17. ?
18. Grand Casino, Brussels
19. Crystal Casino, Aruba
20. Casino Bregenz, Austria, where the game is called Tropical Stud Poker.

Casino Canberra: I have heard the follows pay table 7 but also pays \$50 for a "deadman's hand" consisting of AA88x, where x is any other card.For the side bet to have no house edge in this game the meter would need to reach \$149,389.47. For a \$5 minimum game to have no house edge the meter would need to reach\$238,716.85, and for a \$10 game the meter would need to be \$328,044.23.

## Millionaire Progressive

This is a \$5 "red light" progressive side bet that pays \$1,000,000 for a royal flush in spades, using the player's five-card hand. For all the rules and analysis, please see my page on the Millionaire Progressive.

## Player Collusion

I've been asked lots of times if an advantage can be gained by sharing information with other players. Although the rules forbid this in the land of casinos, there are multi-player Internet casinos where this could be done very easily by phone. However, don't get your hopes up. According to the paper "An Analysis of Caribbean Stud Poker" by Peter Griffin and John M. Gwynn Jr., which appears in the book , in the perfect situation of having seven colluding players, it would be possible to narrow down the dealer's unseen cards to just 16 possible cards. Using a computer to analyze all 1,820 possible 4-card sets out of 16, the player would have an advantage of 2.3%. In a six player game the house would still have an edge of 0.4%. An article on this topic by Scott McIntosh at Review Poker Rooms also explores this topic and comes to similar conclusions.

Stealing a look at other player's cards can cut down the house edge marginally. If you have a borderline ace/king hand it would help to see if the other player's cards match the dealer's up card. The more that match, the more inclined you should be to raise. While the Internet would be a perfect forum to share information in a multi-player table, the most number of seats I have ever seen is three.

## Player May Call

If the player makes a bet for the dealer, in most casinos the player may call the tip as long as the player raises his own bet. This is good strategy if the player raises with a marginal hand. Following is the strategy for how to play the dealer's tip.

• With a pair of fives or less always call (unless you fold yourself).
• With a pair of sixes - call, except if all three singletons are sevens or higher.
• With a pair of sevens - raise, except if all three singletons are six or less.
• With a pair of eights or higher, always raise.

If the player were to play both hands according to the tipping strategy then the tip would have an advantage of about 50%! This is a possible idea for player/dealer collusion.

## Play for Fun

Before playing for real money try my free Java game of Caribbean Stud Poker.