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Fu Bacc could be loosely described as a combination of baccarat and Three Card Poker. It has the card and hand scoring of baccarat and the raise or fold decision of Three Card Poker.
It began a field trial on June 24, 2021, at the Hard Rock in Take Tahoe and I hear it has previously been seen in Washington state.
- A single 52-card deck is used.
- Cards are scored as in baccarat, as follows:
- Aces = 1 point
- 2 to 9 = Pip value
- 10 to K = 0 points
- As in baccarat, the total points of a hand is taken by adding the points in all cards in a hand. If that total is greater than 9, then the terminal digit is used as the score. Thus, the point value of a hand ranges from 0 to 9. Example: If the player has a 6,7, and 8, then the total points are 21. The tens digit is dropped, for a point value of one for the hand.
- Play starts with the player making an Ante bet. At this time, the player may also make the optional Tie or Lucky Monkey side bets, which are explained later.
- After wagering is closed, the dealer shall give the player two cards and himself one. All cards are dealt face up.
- Certain situation are eligible for a bonus. If the player accepts a bonus, it is treated like an instant win and the player does not need to play out the hand. The player keeps his original wager if he accepts a Bonus. These situations are:
- Player 9 points — Bonus of 2x the Ante.
- Player 8 points — Bonus of 1.5x the Ante.
- Player has two face cards and dealer shows a 9 — Bonus of 1x the Ante.
- Otherwise, if no Bonus is eligible or is refused, the player may either make a Play wager equal to 2x the Ante or fold.
- If the player chose to Play, then he may either take a third card or stand.
- After the player has acted, the dealer shall take a second card automatically.
- The dealer shall take a third card if his two-card hand has a point total of five or less.
- The player's hand shall be compared against the dealer's hand.
- If the player hand has more points, then the Ante and Raise shall both pay 1 to 1.
- If the dealer hand has more points, then the Ante and Raise shall both lose.
- If the player and dealer hand tie, then the Ante shall lose and Raise shall push.
- The Tie side bet win if the player and dealer tie after all cards are dealt. Wins pay 7 to 1.
- The Lucky Monkey side bet pays if the player's initial two cards are both 0-point cards (10 or face cards). Wins pay according to the dealer up card as follows:
- Player 0,0 and Dealer 9 — Pays 30 to 1
- Player 0,0 and Dealer 8 — Pays 20 to 1
- Player 0,0 and Dealer 7 — Pays 15 to 1
- Player 0,0 and Dealer 6 — Pays 10 to 1
- Player 0,0 and Dealer 0 to 5 — Pays 5 to 1
The following strategy can be found on the Fu Bacc rack card and was confirmed by Gordonnm888, as known at my .
The following table shows my analysis of the Ante bet. The lower right cell shows a house edge of 3.05%.
|Player raises and wins||3||1,403,360,904||0.382958||1.148873|
|Player has two-card 9 and takes bonus||2||24,761,856||0.006757||0.013514|
|Player has two-card 8 and takes bonus||1.5||50,629,152||0.013816||0.020724|
|Player has two face cards and dealer has 9||1||26,530,560||0.007240||0.007240|
|Player raises and loses||-3||1,157,290,880||0.315809||-0.947426|
The probability the player will make the Play bet is 78.552%. This makes the average wager 2.571041 by the end of the hand. That makes the ratio of the expected loss to total amount bet, what I call the Element of Risk, 3.05%/2.571 = 1.19%.
The player is allowed to bet the Tie only. The following is a basic strategy for betting the Tie only.
- Player's two-card total equals dealer's card -- Stand
- Player's two-card total is 6 or more and does not equal dealer's card -- Stand
- Player's two-card total is 5 or less and does not equal dealer's card -- Hit
Following this strategy will result in a house edge of 10.41%.
There are several composition-dependent exceptions to this strategy, which would lower the house edge to 10.30%. Since this figure is still significantly higher than the house edge of the Ante bet, I won't bother to list the Tie bet basic strategy exceptions.
Lucky Monkey Analysis
The following table shows my analysis of the Lucky Monkey side bet. The lower right cell shows a house edge of 5.88%.
Lucky Monkey Analysis
|Player 0-0 and dealer 9||30||480||0.007240||0.217195|
|Player 0-0 and dealer 8||20||480||0.007240||0.144796|
|Player 0-0 and dealer 7||15||480||0.007240||0.108597|
|Player 0-0 and dealer 6||10||480||0.007240||0.072398|
|Player 0-0 and dealer 0 to 5||5||4,080||0.061538||0.307692|
Usually I do all my own math, but this game is a rare exception. A discussion began about it in my while I was on a two-week vacation. By the time I got ugslot, there was a rock solid and confirmed analysis completed.
That said I would like to thank, in no particular order, CharliePatrick, Gordonm888, and ssho88 (as known at ugslot of Vegas) for their outstanding work analyzing this game. The only credit I can take is for the Lucky Monkey side bet, which was easy to analyze.
Written by:Michael Shackleford