The game of baccarat can be played with 6 or 8 decks of cards and the probability distribution for a hand dealt from a complete shoe of 6 or 8 decks is as follows:
<TABLE class=grey cellSpacing=5 cellPadding=3 border=0><TBODY><TR bgColor=#cccccc><TD># of decks</TD><TD>Banker wins </TD><TD>Player wins</TD><TD>Tie</TD></TR><TR><TD>1 deck</TD><TD> </TD><TD> </TD><TD> </TD></TR><TR><TD>6 decks</TD><TD>0.458653</TD><TD>0.446279</TD><TD>0.095069</TD></TR><TR><TD>8 decks </TD><TD>0.458597</TD><TD>0.446247</TD><TD>0.095156</TD></TR></TBODY></TABLE>
The casino's commission on the winning Banker hand (4% or 5%) and payouts on a tie bet (8:1 or 9:1) implies the following house advantages:
<TABLE class=grey cellSpacing=5 cellPadding=3 border=0><TBODY><TR bgColor=#cccccc><TD># of decks</TD><TD>Banker bet 5%</TD><TD>Banker bet 4%</TD><TD>Player bet</TD><TD>Bet tie 9:1</TD><TD>Bet tie 8:1</TD></TR><TR><TD>1 deck*</TD><TD>1.01%</TD><TD> </TD><TD>1.29%</TD><TD> </TD><TD>15.57%</TD></TR><TR><TD>6 decks**</TD><TD>1.0558%</TD><TD>0.5972% </TD><TD>1.2374% </TD><TD>4.9313%</TD><TD>14.4382%</TD></TR><TR><TD>8 decks </TD><TD>1.0579%</TD><TD>0.5993% </TD><TD>1.2351% </TD><TD>4.8440% </TD><TD>14.3596%</TD></TR></TBODY></TABLE>
What gets you here is the number of hands per hour also. Where knuckleheads can slow a bj game to a crawl deciding what to do, this is auto deal. You can write the results in blue, red, a fuckin purple crayon, it does not matter. Counting is useless. No way to turn positive expectancy here.