|
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:
|
# 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 (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% |
The probabilities for possible hands were calculated
by Edward O. Thorp in his classic book "The Mathematics of
Gambling".
He also determined that card counting is not effective
at the baccarat tables. It works, but it is about 9 times less effective when
compared to blackjack card counting.
And besides, the advantage of using card counting is "
... easily eliminated by shuffling the deck". All of online casinos
shuffle the deck after every play |