Thursday, October 25, 2007

Baccarat Odds

Baccarat can be played with either 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:

# of decks

Banker wins

Player wins

Tie

1 deck

6 decks

0.458653

0.446279

0.095069

8 decks

0.458597

0.446247

0.095156

The casino`s commission on the winning Banker hand is 4% or 5% and payouts on a tie bet (8:1 or 9:1) implies the following house advantages:

# of decks

Banker bet 5%

Banker bet 4%

Player bet

Bet tie 9:1

Bet tie 8:1

1 deck*

1.01%

1.29%

15.57%

6 decks**

1.0558%

0.5972%

1.2374%

4.9313%

14.4382%

8 decks

1.0579%

0.5993%

1.2351%

4.8440%

14.3596%


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1 comment:

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