Mississippi Stud Free Play
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Introduction
Mississippi Stud is a popular poker-based table game by Scientific Games. The game is simple to play. Wins are based only on the player's final five card hand. The skill is in deciding how much to raise, or fold, as the cards are revealed.
Equus is a play by Peter Shaffer written in 1973, telling the story of a psychiatrist who attempts to treat a young man who has a pathological religious fascination with horses. 1 Shaffer was inspired to write Equus when he heard of a crime involving a 17-year-old who blinded six horses in a small town in Suffolk. We would like to show you a description here but the site won’t allow us.
Rules
- Player makes ante wager.
- Dealer gives each player two cards face down, and three community cards face down. Player may examine his own cards.
- Player may fold or make a '3rd Street' bet, of one to three times the ante.
- First community card is turned over.
- Player may fold or make a '4th Street' bet, of one to three times the ante.
- Second community card is turned over.
- Player may fold or make a '5th Street' bet, of one to three times the ante.
- Third community card is turned over.
- All wagers paid according to the following pay table.
Video Tutorial
The Wizard of Odds demonstrates his Mississippi Stud demo game, showing the rules, odds, and strategy for the game.
Mississippi Stud Pay Table
| HAND | PAYS |
|---|---|
| Royal Flush | 500 to 1 |
| Straight Flush | 100 to 1 |
| Four of a Kind | 40 to 1 |
| Full House | 10 to 1 |
| Flush | 6 to 1 |
| Straight | 4 to 1 |
| Three of a Kind | 3 to 1 |
| Two Pairs | 2 to 1 |
| Pair of Jacks or Better | 1 to 1 |
| Pair of 6s thru 10s | Push |
| All other | Loss |
Playing Online For Real Money
Mississippi Stud is not widely available at online casinos but it is available at these brands:
Strategy
The following strategy was created by Joseph Kisenwether, with permission to publish here. I can verify that this strategy is indeed optimal.
Card Values
- High = J to A = 2 points
- Mid = 6 to 10 = 1 point
- Low = 2 to 5 = 0 points
2 Cards
- Raise 3x with any pair.
- Raise 1x with at least two points.
- Raise 1x with 6/5 suited.
- Fold all others.
3 Cards
- Raise 3x with any made hand (mid pair or higher).
- Raise 3x with royal flush draw.
- Raise 3x with straight flush draw, with no gaps, 567 or higher.
- Raise 3x with straight flush draw, with one gap, and at least one high card.
- Raise 3x with straight flush draw, with two gaps, and at least two high cards.
- Raise 1x with any other three suited cards.
- Raise 1x with a low pair.
- Raise 1x with at least three points.
- Raise 1x with a straight draw, with no gaps, 456 or higher.
- Raise 1x with a straight draw, with one gap, and two mid cards.
- Fold all others.
4 Cards
- Raise 3x with any made hand (mid pair or higher).
- Raise 3x with any four to a flush.
- Raise 3x with four to an outside straight, 8 high or better.
- Raise 1x with any other straight draw.
- Raise 1x with a low pair.
- Raise 1x with at least four points.
- Raise 1x with three mid cards and at least one previous 3x raise.
- Fold all others.
The following graphic version of my strategy was created and used with permission by Ray A.
Click on image for larger version.
Analysis
The following table shows number of combinations, probability, and contribution to the return of every possible hand and sequence of bets.
Mississippi Stud Return Table
| 3rd St. | 4th St. | 5th St. | Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|---|---|---|
| 1 | 1 | 1 | Loser | -4 | 43594056 | 0.279561 | -1.118244 |
| 1 | 1 | 1 | Pair 6-10 | 0 | 5078808 | 0.032569 | 0 |
| 1 | 1 | 1 | Pair J-A | 4 | 5396544 | 0.034607 | 0.138428 |
| 1 | 1 | 1 | Two pair | 8 | 489888 | 0.003142 | 0.025133 |
| 1 | 1 | 1 | Three of a kind | 12 | 163296 | 0.001047 | 0.012566 |
| 1 | 1 | 1 | Straight | 16 | 216288 | 0.001387 | 0.022192 |
| 1 | 1 | 1 | Flush | 24 | 0 | 0 | 0 |
| 1 | 1 | 1 | Full house | 40 | 0 | 0 | 0 |
| 1 | 1 | 1 | Four of a kind | 160 | 0 | 0 | 0 |
| 1 | 1 | 1 | Straight flush | 400 | 0 | 0 | 0 |
| 1 | 1 | 1 | Royal flush | 2000 | 0 | 0 | 0 |
| 1 | 1 | 3 | Loser | -6 | 1079292 | 0.006921 | -0.041528 |
| 1 | 1 | 3 | Pair 6-10 | 0 | 4761396 | 0.030534 | 0 |
| 1 | 1 | 3 | Pair J-A | 6 | 5033856 | 0.032281 | 0.193687 |
| 1 | 1 | 3 | Two pair | 12 | 1516536 | 0.009725 | 0.116703 |
| 1 | 1 | 3 | Three of a kind | 18 | 539832 | 0.003462 | 0.062313 |
| 1 | 1 | 3 | Straight | 24 | 130944 | 0.00084 | 0.020153 |
| 1 | 1 | 3 | Flush | 36 | 185808 | 0.001192 | 0.042896 |
| 1 | 1 | 3 | Full house | 60 | 14040 | 0.00009 | 0.005402 |
| 1 | 1 | 3 | Four of a kind | 240 | 1560 | 0.00001 | 0.002401 |
| 1 | 1 | 3 | Straight flush | 600 | 672 | 0.000004 | 0.002586 |
| 1 | 1 | 3 | Royal flush | 3000 | 0 | 0 | 0 |
| 1 | 1 | Fold | n/a | -3 | 7569216 | 0.04854 | -0.14562 |
| 1 | 3 | 1 | Loser | -6 | 261252 | 0.001675 | -0.010052 |
| 1 | 3 | 1 | Pair 6-10 | 0 | 34236 | 0.00022 | 0 |
| 1 | 3 | 1 | Pair J-A | 6 | 41760 | 0.000268 | 0.001607 |
| 1 | 3 | 1 | Two pair | 12 | 144 | 0.000001 | 0.000011 |
| 1 | 3 | 1 | Three of a kind | 18 | 48 | 0 | 0.000006 |
| 1 | 3 | 1 | Straight | 24 | 6432 | 0.000041 | 0.00099 |
| 1 | 3 | 1 | Flush | 36 | 0 | 0 | 0 |
| 1 | 3 | 1 | Full house | 60 | 0 | 0 | 0 |
| 1 | 3 | 1 | Four of a kind | 240 | 0 | 0 | 0 |
| 1 | 3 | 1 | Straight flush | 600 | 0 | 0 | 0 |
| 1 | 3 | 1 | Royal flush | 3000 | 0 | 0 | 0 |
| 1 | 3 | 3 | Loser | -8 | 88644 | 0.000568 | -0.004548 |
| 1 | 3 | 3 | Pair 6-10 | 0 | 3459060 | 0.022182 | 0 |
| 1 | 3 | 3 | Pair J-A | 8 | 4124256 | 0.026448 | 0.211585 |
| 1 | 3 | 3 | Two pair | 16 | 1691352 | 0.010846 | 0.173541 |
| 1 | 3 | 3 | Three of a kind | 24 | 750168 | 0.004811 | 0.115457 |
| 1 | 3 | 3 | Straight | 32 | 7968 | 0.000051 | 0.001635 |
| 1 | 3 | 3 | Flush | 48 | 22440 | 0.000144 | 0.006907 |
| 1 | 3 | 3 | Full house | 80 | 76248 | 0.000489 | 0.039117 |
| 1 | 3 | 3 | Four of a kind | 320 | 8472 | 0.000054 | 0.017385 |
| 1 | 3 | 3 | Straight flush | 800 | 720 | 0.000005 | 0.003694 |
| 1 | 3 | 3 | Royal flush | 4000 | 240 | 0.000002 | 0.006156 |
| 1 | 3 | Fold | n/a | -5 | 1152 | 0.000007 | -0.000037 |
| 1 | Fold | n/a | n/a | -2 | 11966976 | 0.076742 | -0.153484 |
| 3 | 1 | 1 | Loser | -6 | 2027520 | 0.013002 | -0.078013 |
| 3 | 1 | 1 | Pair 6-10 | 0 | 0 | 0 | 0 |
| 3 | 1 | 1 | Pair J-A | 6 | 0 | 0 | 0 |
| 3 | 1 | 1 | Two pair | 12 | 304128 | 0.00195 | 0.023404 |
| 3 | 1 | 1 | Three of a kind | 18 | 101376 | 0.00065 | 0.011702 |
| 3 | 1 | 1 | Straight | 24 | 0 | 0 | 0 |
| 3 | 1 | 1 | Flush | 36 | 0 | 0 | 0 |
| 3 | 1 | 1 | Full house | 60 | 0 | 0 | 0 |
| 3 | 1 | 1 | Four of a kind | 240 | 0 | 0 | 0 |
| 3 | 1 | 1 | Straight flush | 600 | 0 | 0 | 0 |
| 3 | 1 | 1 | Royal flush | 3000 | 0 | 0 | 0 |
| 3 | 1 | 3 | Loser | -8 | 0 | 0 | 0 |
| 3 | 1 | 3 | Pair 6-10 | 0 | 0 | 0 | 0 |
| 3 | 1 | 3 | Pair J-A | 8 | 0 | 0 | 0 |
| 3 | 1 | 3 | Two pair | 16 | 152064 | 0.000975 | 0.015603 |
| 3 | 1 | 3 | Three of a kind | 24 | 101376 | 0.00065 | 0.015603 |
| 3 | 1 | 3 | Straight | 32 | 0 | 0 | 0 |
| 3 | 1 | 3 | Flush | 48 | 0 | 0 | 0 |
| 3 | 1 | 3 | Full house | 80 | 20736 | 0.000133 | 0.010638 |
| 3 | 1 | 3 | Four of a kind | 320 | 2304 | 0.000015 | 0.004728 |
| 3 | 1 | 3 | Straight flush | 800 | 0 | 0 | 0 |
| 3 | 1 | 3 | Royal flush | 4000 | 0 | 0 | 0 |
| 3 | 1 | Fold | n/a | -5 | 0 | 0 | 0 |
| 3 | 3 | 1 | Loser | -8 | 0 | 0 | 0 |
| 3 | 3 | 1 | Pair 6-10 | 0 | 0 | 0 | 0 |
| 3 | 3 | 1 | Pair J-A | 8 | 0 | 0 | 0 |
| 3 | 3 | 1 | Two pair | 16 | 0 | 0 | 0 |
| 3 | 3 | 1 | Three of a kind | 24 | 0 | 0 | 0 |
| 3 | 3 | 1 | Straight | 32 | 0 | 0 | 0 |
| 3 | 3 | 1 | Flush | 48 | 0 | 0 | 0 |
| 3 | 3 | 1 | Full house | 80 | 0 | 0 | 0 |
| 3 | 3 | 1 | Four of a kind | 320 | 0 | 0 | 0 |
| 3 | 3 | 1 | Straight flush | 800 | 0 | 0 | 0 |
| 3 | 3 | 1 | Royal flush | 4000 | 0 | 0 | 0 |
| 3 | 3 | 3 | Loser | -10 | 0 | 0 | 0 |
| 3 | 3 | 3 | Pair 6-10 | 0 | 2534400 | 0.016253 | 0 |
| 3 | 3 | 3 | Pair J-A | 10 | 2027520 | 0.013002 | 0.130021 |
| 3 | 3 | 3 | Two pair | 20 | 1026432 | 0.006582 | 0.131647 |
| 3 | 3 | 3 | Three of a kind | 30 | 785664 | 0.005038 | 0.15115 |
| 3 | 3 | 3 | Straight | 40 | 0 | 0 | 0 |
| 3 | 3 | 3 | Flush | 60 | 0 | 0 | 0 |
| 3 | 3 | 3 | Full house | 100 | 69120 | 0.000443 | 0.044325 |
| 3 | 3 | 3 | Four of a kind | 400 | 20160 | 0.000129 | 0.051713 |
| 3 | 3 | 3 | Straight flush | 1000 | 0 | 0 | 0 |
| 3 | 3 | 3 | Royal flush | 5000 | 0 | 0 | 0 |
| 3 | 3 | Fold | n/a | -7 | 0 | 0 | 0 |
| 3 | Fold | n/a | n/a | -4 | 0 | 0 | 0 |
| Fold | n/a | n/a | n/a | -1 | 48451200 | 0.310709 | -0.310709 |
| Total | 155937600 | 1 | -0.049149 |
The lower right cell shows a house edge of 4.91%. On average, the player will bet 3.59 units per hand. The ratio of the expected loss to total amount bet, what I call the 'element of risk,' is 4.91%/3.59 = 1.37%.
The following tables show the expected value of raising one unit and three units on all possible starting hands. The player should make the play with the higher expected value. If both are less than -1, then the player should fold.
Unsuited Hands — Expected Values
| Higher Card | Lower Card | Raise 1X | Raise 3X |
|---|---|---|---|
| 3 | 2 | -1.716327 | -3.333061 |
| 4 | 2 | -1.716327 | -3.333061 |
| 5 | 2 | -1.716327 | -3.333061 |
| 6 | 2 | -1.389592 | -2.67898 |
| 7 | 2 | -1.389592 | -2.705918 |
| 8 | 2 | -1.389592 | -2.705918 |
| 9 | 2 | -1.389592 | -2.705918 |
| 10 | 2 | -1.389592 | -2.705918 |
| J | 2 | -0.901429 | -1.810408 |
| Q | 2 | -0.901429 | -1.810408 |
| K | 2 | -0.901429 | -1.810408 |
| A | 2 | -0.901429 | -1.722245 |
| 4 | 3 | -1.716327 | -3.262041 |
| 5 | 3 | -1.716327 | -3.262041 |
| 6 | 3 | -1.389592 | -2.587551 |
| 7 | 3 | -1.389592 | -2.653673 |
| 8 | 3 | -1.389592 | -2.705918 |
| 9 | 3 | -1.389592 | -2.705918 |
| 10 | 3 | -1.389592 | -2.705918 |
| J | 3 | -0.901429 | -1.810408 |
| Q | 3 | -0.901429 | -1.810408 |
| K | 3 | -0.901429 | -1.810408 |
| A | 3 | -0.901429 | -1.722245 |
| 5 | 4 | -1.710204 | -3.186122 |
| 6 | 4 | -1.370952 | -2.492857 |
| 7 | 4 | -1.377075 | -2.55898 |
| 8 | 4 | -1.389592 | -2.63 |
| 9 | 4 | -1.389592 | -2.705918 |
| 10 | 4 | -1.389592 | -2.705918 |
| J | 4 | -0.901429 | -1.810408 |
| Q | 4 | -0.901429 | -1.810408 |
| K | 4 | -0.901429 | -1.810408 |
| A | 4 | -0.901429 | -1.722245 |
| 6 | 5 | -1.336122 | -2.394354 |
| 7 | 5 | -1.342245 | -2.460476 |
| 8 | 5 | -1.360748 | -2.531497 |
| 9 | 5 | -1.389592 | -2.607959 |
| 10 | 5 | -1.389592 | -2.705918 |
| J | 5 | -0.901429 | -1.810408 |
| Q | 5 | -0.901429 | -1.810408 |
| K | 5 | -0.901429 | -1.810408 |
| A | 5 | -0.901429 | -1.722245 |
| 7 | 6 | -0.78517 | -1.51932 |
| 8 | 6 | -0.81619 | -1.610748 |
| 9 | 6 | -0.85102 | -1.705986 |
| 10 | 6 | -0.893469 | -1.806122 |
| J | 6 | -0.357959 | -0.927755 |
| Q | 6 | -0.357959 | -0.927755 |
| K | 6 | -0.357959 | -0.927755 |
| A | 6 | -0.357959 | -0.927755 |
| 8 | 7 | -0.748707 | -1.510612 |
| 9 | 7 | -0.783537 | -1.60585 |
| 10 | 7 | -0.825986 | -1.705986 |
| J | 7 | -0.292653 | -0.829796 |
| Q | 7 | -0.357959 | -0.927755 |
| K | 7 | -0.357959 | -0.927755 |
| A | 7 | -0.357959 | -0.927755 |
| 9 | 8 | -0.714422 | -1.504082 |
| 10 | 8 | -0.756871 | -1.604218 |
| J | 8 | -0.223537 | -0.728027 |
| Q | 8 | -0.292653 | -0.829796 |
| K | 8 | -0.357959 | -0.927755 |
| A | 8 | -0.357959 | -0.927755 |
| 10 | 9 | -0.686122 | -1.500816 |
| J | 9 | -0.152789 | -0.624626 |
| Q | 9 | -0.221905 | -0.726395 |
| K | 9 | -0.292653 | -0.829796 |
| A | 9 | -0.357959 | -0.927755 |
| J | 10 | -0.080408 | -0.519592 |
| Q | 10 | -0.149524 | -0.621361 |
| K | 10 | -0.220272 | -0.724762 |
| A | 10 | -0.292653 | -0.829796 |
| Q | J | 0.581905 | 0.374558 |
| K | J | 0.511156 | 0.271156 |
| A | J | 0.438776 | 0.166122 |
| K | Q | 0.511156 | 0.271156 |
| A | Q | 0.438776 | 0.166122 |
| A | K | 0.438776 | 0.166122 |
Suited Hands — Expected Values
| Higher Card | Lower Card | Raise 1X | Raise 3X |
|---|---|---|---|
| 3 | 2 | -1.478367 | -2.884286 |
| 4 | 2 | -1.478367 | -2.884286 |
| 5 | 2 | -1.478367 | -2.884286 |
| 6 | 2 | -1.133265 | -2.243571 |
| 7 | 2 | -1.173367 | -2.322041 |
| 8 | 2 | -1.173367 | -2.322041 |
| 9 | 2 | -1.173367 | -2.322041 |
| 10 | 2 | -1.173367 | -2.322041 |
| J | 2 | -0.633265 | -1.406939 |
| Q | 2 | -0.633265 | -1.406939 |
| K | 2 | -0.633265 | -1.406939 |
| A | 2 | -0.591327 | -1.279796 |
| 4 | 3 | -1.435816 | -2.770306 |
| 5 | 3 | -1.435816 | -2.770306 |
| 6 | 3 | -1.090102 | -2.113367 |
| 7 | 3 | -1.132041 | -2.222755 |
| 8 | 3 | -1.173367 | -2.322041 |
| 9 | 3 | -1.173367 | -2.322041 |
| 10 | 3 | -1.173367 | -2.322041 |
| J | 3 | -0.633265 | -1.406939 |
| Q | 3 | -0.633265 | -1.406939 |
| K | 3 | -0.633265 | -1.406939 |
| A | 3 | -0.591327 | -1.279796 |
| 5 | 4 | -1.388061 | -2.651735 |
| 6 | 4 | -1.032347 | -1.980102 |
| 7 | 4 | -1.078878 | -2.08949 |
| 8 | 4 | -1.130816 | -2.203469 |
| 9 | 4 | -1.173367 | -2.322041 |
| 10 | 4 | -1.173367 | -2.322041 |
| J | 4 | -0.633265 | -1.406939 |
| Q | 4 | -0.633265 | -1.406939 |
| K | 4 | -0.633265 | -1.406939 |
| A | 4 | -0.591327 | -1.279796 |
| 6 | 5 | -0.960000 | -1.841224 |
| 7 | 5 | -1.006531 | -1.950612 |
| 8 | 5 | -1.064694 | -2.066633 |
| 9 | 5 | -1.129592 | -2.185714 |
| 10 | 5 | -1.173367 | -2.322041 |
| J | 5 | -0.633265 | -1.406939 |
| Q | 5 | -0.633265 | -1.406939 |
| K | 5 | -0.633265 | -1.406939 |
| A | 5 | -0.591327 | -1.279796 |
| 7 | 6 | -0.385306 | -0.953810 |
| 8 | 6 | -0.453469 | -1.086054 |
| 9 | 6 | -0.529082 | -1.225578 |
| 10 | 6 | -0.605714 | -1.364898 |
| J | 6 | -0.068367 | -0.519082 |
| Q | 6 | -0.068367 | -0.519082 |
| K | 6 | -0.068367 | -0.519082 |
| A | 6 | -0.068367 | -0.519082 |
| 8 | 7 | -0.351531 | -0.941463 |
| 9 | 7 | -0.427143 | -1.080986 |
| 10 | 7 | -0.509082 | -1.225578 |
| J | 7 | 0.026224 | -0.382755 |
| Q | 7 | -0.068367 | -0.519082 |
| K | 7 | -0.068367 | -0.519082 |
| A | 7 | -0.068367 | -0.519082 |
| 9 | 8 | -0.319626 | -0.930986 |
| 10 | 8 | -0.401565 | -1.075578 |
| J | 8 | 0.135578 | -0.231667 |
| Q | 8 | 0.028707 | -0.380272 |
| K | 8 | -0.068367 | -0.519082 |
| A | 8 | -0.068367 | -0.519082 |
| 10 | 9 | -0.291769 | -0.924048 |
| J | 9 | 0.249252 | -0.076259 |
| Q | 9 | 0.140986 | -0.226259 |
| K | 9 | 0.031190 | -0.377789 |
| A | 9 | -0.068367 | -0.519082 |
| J | 10 | 0.527721 | 0.284762 |
| Q | 10 | 0.419456 | 0.134762 |
| K | 10 | 0.30966 | -0.016769 |
| A | 10 | 0.196939 | -0.171224 |
| Q | J | 1.170816 | 1.149388 |
| K | J | 1.057143 | 0.99398 |
| A | J | 0.941939 | 0.837041 |
| K | Q | 1.057143 | 0.99398 |
| A | Q | 0.941939 | 0.837041 |
| A | K | 0.941939 | 0.837041 |
Pairs — Expected Values
| Higher Card | Lower Card | Raise 1X | Raise 3X |
|---|---|---|---|
| 2 | 2 | 1.929796 | 2.177959 |
| 3 | 3 | 1.929796 | 2.177959 |
| 4 | 4 | 1.929796 | 2.177959 |
| 5 | 5 | 1.929796 | 2.177959 |
| 6 | 6 | 6.739592 | 8.424490 |
| 7 | 7 | 6.739592 | 8.42449 |
| 8 | 8 | 6.739592 | 8.424490 |
| 9 | 9 | 6.739592 | 8.424490 |
| 10 | 10 | 6.739592 | 8.424490 |
| J | J | 12.486531 | 15.608163 |
| Q | Q | 12.486531 | 15.608163 |
| K | K | 12.486531 | 15.608163 |
| A | A | 12.486531 | 15.608163 |
Barona Pay Table
I have an unconfirmed report that the Barona casino in San Diego pays 5 to 1 on a straight, instead of the usual 4. Under optimal Barona strategy the house edge is 3.7591%. Using the basic strategy for the standard pay table in the Barona game results in a house edge of 3.7906%. So, the cost of errors using the standard strategy in the Barona game is 0.0315%.
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.
Acknowledgements
Scientific Games, for providing me with their math report by Elliot Frome. I have some minor disagreements with the report, but it was helpful in my analysis.
Joseph Kisenwether, for providing the strategy posted here, and for correcting an earlier mistake in my analysis.
Play Mississippi Stud Free No Downloading
Links
Mississippi Stud Free Play
- discountgambling.net: Outstanding page on collusion in Mississippi Stud. According to this site, the player can have a 1.5%+ edge with knowledge of the other player's cards.
- Game demo that teaches optimal strategy.