Last Updated: March 26, 2012
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Three Card Mulligan is a variation of Three Card Poker in which the player may trade his first hand for a second one if he chooses. The game was invented and patented by yours truly and marketed by Shuffle Entertainment. In January, 2013, the game made its debut at the Cowboys Casino in Calgary, Alberta.
- A single 52-card deck is used.
- The poker-ranking hand order is as follows:
- Straight flush
- Three of a kind
- Ace high and less
Ante and Mulligan Pay Table
|Straight flush||6 to 1|
|Three of a kind||4 to 1|
|Straight||3 to 2|
|All other||1 to 1|
Pair Plus Pay Table
|Player Original Hand||Pays|
|Straight flush||40 to 1|
|Three of a kind||30 to 1|
|Straight||6 to 1|
|Flush||3 to 1|
|Pair||1 to 1|
The following table shows the probability and return for all possible outcomes of the Ante bet in Three Card Mulligan. The lower right cell shows a house edge of 3.57%.
Three Card Mulligan Return Table
|Three of a kind||Yes||8||0.001160||0.009284|
|Three of a kind||No||4||0.002341||0.009365|
|Less than straight||Yes||2||0.169427||0.338855|
|Less than straight||No||1||0.286811||0.286811|
The player will make the Mulligan wager 50.0% of the time. The average wager is thus 1.5 units, for an Element of Risk of 2.38%.
Pair Plus Analysis
The following table shows the probability and return for all possible outcomes of the initial Pair Plus bet in Three Card Mulligan. The lower right cell shows a house edge of 7.28%.
Pair Plus Analysis — Initial Hand
|Three of a kind||30||52||0.002353||0.070588|
The next table shows the probability and return for all possible outcomes of the subsequent Pair Plus bet in Three Card Mulligan, assuming the player follows optimal strategy. The lower right cell shows a house edge of 7.66%. The reason it is different from the original Pair Plus bet is the effect of removal of the discarded cards.
Pair Plus Analysis — Mulligan Hand
|Three of a kind||30||0.002335||0.070036|
The player should stand with K-10 or higher; otherwise, take a Mulligan.