Last Updated: February 6, 2007

# Double Fortune Baccarat

## Introduction

Double Fortune Baccarat is a baccarat variation I noticed at the Wynn on February 6, 2007. The game is played like conventional baccarat, except with two 8-deck shoes, a red one and a blue one. The dealers will deal a hand from each at the same time. Players may wager on the outcome of either or both shoes. In addition there are proposition bets on the outcome of both red and blue shoes. If one shoe runs out of cards before the other then the proposition bets will be off the board until both shoes have been exhausted. The odds on the banker, player, and tie bets are the same as in conventional baccarat. The only new material to evaluate are the two proposition bets.

The first proposition bet is the Double Fortune Pairs. Only the first two cards of both banker and player hands are used to determine the outcome. The following return table shows a house edge of 3.45%.

### Double Fortune Pairs — 8 Decks

Event Pays Combinations Probability Return
Four pairs 100 1696070458757380 0.000031 0.003114
Three pairs 20 84024398039482400 0.001543 0.030858
Two pairs on same game 10 520415753751429000 0.009556 0.095562
One pair on each game 5 1040655391031030000 0.019109 0.095546
One pair on either game 2 12890861996165000000 0.236711 0.473422
No pairs -1 39920593415543200000 0.73305 -0.73305
Total   54458247024988900000 1 -0.034546

The second proposition bet is the Double Fortune Ties. The following return table shows a house edge of 4.51%.

### Double Fortune Ties — 8 Decks

Event Pays Combinations Probability Return
A tie of equal value on both games 50 3.06954543145145E+28 0.001229 0.06143
A tie on each game 25 1.9552599449902E+29 0.007826 0.195651
A tie on either game 3 4.30230771890458E+30 0.172203 0.516608
No ties -1 2.04554561528368E+31 0.818743 -0.818743
Total   2.4983985320555E+31 1 -0.045053

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