8 Decks

The following tables show the possible outcomes of the banker, player, and tie bets for an 8-deck game. As you can see in the left cells in each table, the house edge is 1.06% on the banker bet, 1.24% on the player bet, and 14.36% on the tie bet.

Banker Bet — 8 Decks
Event Pays Combinations Probability Return
Banker wins 0.95 2,292,252,566,437,888 0.458597 0.435668
Player wins -1 2,230,518,282,592,256 0.446247 -0.446247
Tie 0 475,627,426,473,216 0.095156 0
Total 4,998,398,275,503,360 1 -0.010579

Player Bet — 8 Decks
Event Pays Combinations Probability Return
Banker wins -1 2,292,252,566,437,888 0.458597 -0.458597
Player wins 1 2,230,518,282,592,256 0.446247 0.446247
Tie 0 475,627,426,473,216 0.095156 0
Total 4,998,398,275,503,360 1 -0.012351

Tie Bet — 8 Decks
Event Pays Combinations Probability Return
Banker wins -1 2,292,252,566,437,888 0.458597 -0.458597
Player wins -1 2,230,518,282,592,256 0.446247 -0.446247
Tie 8 475,627,426,473,216 0.095156 0.761248
Total 4,998,398,275,503,360 1 -0.143596

Pair Bets — 8 Decks
Event Pays Combinations Probability Return
Pair 11 6448 0.074699 0.821687
No pair -1 79872 0.925301 -0.925301
Total 86320 1 -0.103614

6 Decks

The following tables show the possible outcomes of the banker, player, and tie bets for a 6-deck game. As you can see in the lower left cells in each table, the house edge is 1.06% on the banker bet, 1.24% on the player bet, and 14.44% on the tie bet.

Banker Bet — 6 Decks
Event Pays Combinations Probability Return
Banker wins 0.95 403095751234560 0.458653 0.43572
Player wins -1 392220492728832 0.446279 -0.446279
Tie 0 83552962932288 0.095069 0
Total 878869206895680 1 -0.010558

Player Bet — 6 Decks
Event Pays Combinations Probability Return
Banker wins -1 403095751234560 0.458653 -0.458653
Player wins 1 392220492728832 0.446279 0.446279
Tie 0 83552962932288 0.095069 0
Total 878869206895680 1 -0.012374

Tie Bet — 6 Decks
Event Pays Combinations Probability Return
Banker wins -1 403095751234560 0.458653 -0.458653
Player wins -1 392220492728832 0.446279 -0.446279
Tie 8 83552962932288 0.095069 0.76055
Total 878869206895680 1 -0.144382

Pair Bets — 6 Decks
Event Pays Combinations Probability Return
Pair 11 3588 0.073955 0.813505
No pair -1 44928 0.926045 -0.926045
Total 48516 1 -0.11254

1 Deck

The following tables show the possible outcomes of the banker, player, and tie bets for a single deck game. As you can see in the lower left cells in each table, the house edge is 1.01% on the banker bet, 1.29% on the player bet, and 15.75% on the tie bet.

Banker Bet — 1 Deck
Event Pays Combinations Probability Return
Banker wins 0.95 6737232640 0.459624 0.436643
Player wins -1 6548674432 0.44676 -0.44676
Tie 0 1372227328 0.093615 0
Total 14658134400 1 -0.010117

Player Bet — 1 Deck
Event Pays Combinations Probability Return
Banker wins -1 6737232640 0.459624 -0.459624
Player wins 1 6548674432 0.44676 0.44676
Tie 0 1372227328 0.093615 0
Total 14658134400 1 -0.012864

Tie Bet — 1 Deck
Event Pays Combinations Probability Return
Banker wins -1 6737232640 0.459624 -0.459624
Player wins -1 6548674432 0.44676 -0.44676
Tie 8 1372227328 0.093615 0.748923
Total 14658134400 1 -0.157461

Pair Bets — 1 Deck
Event Pays Combinations Probability Return
Pair 11 78 0.058824 0.647059
No pair -1 1248 0.941176 -0.941176
Total 1326 1 -0.294118

Reduced Commission Baccarat

Some casinos may offer a commission less than 5% on winning banker bets. For years the Horseshoe in Las Vegas offered a 4% commission on their big table game. For a short time in 1989 the Sahara offered 0% commission. The Betfair Internet casino offers a 2.75% commision in their “Zero Lounge.” The following table shows the expected value on the banker bet according to the number of decks and commission.

Reduced Commission Baccarat
Commission 1 Deck 6 Decks 8 Decks
5.00% -1.012% -1.056% -1.058%
4.00% -0.552% -0.597% -0.599%
3.00% -0.092% -0.139% -0.141%
2.75% 0.022% -0.024% -0.026%
0.00% 1.286% 1.237% 1.235%

9 to 1 Tie Bet

The tie bet is known to pay 9 to 1 in some casinos. The expected value on the tie bet if it pays 9 to 1 is given below:

  • 8 decks: -4.844%
  • 6 decks: -4.931%
  • 1 deck: -6.385%

Egalite Bets

Some casinos in London offer “egalite” bets on specific ties, by the total of the tie. For example, a 5-5 tie pays 110 to 1. The following table shows the probability and return for each bet, based on eight decks.

Egalite Bets — Eight Decks
Tie Pays Permutations Probability Return
9 80 55,146,054,060,032 0.011033 -0.106348
8 80 54,879,416,675,072 0.010979 -0.110669
7 45 101,717,538,899,968 0.020350 -0.063899
6 45 96,170,001,308,416 0.019240 -0.114952
5 110 39,684,046,743,808 0.007939 -0.118732
4 120 36,294,133,463,040 0.007261 -0.121401
3 200 22,250,510,129,408 0.004452 -0.105243
2 225 20,006,606,104,576 0.004003 -0.095412
1 215 20,499,217,668,352 0.004101 -0.114150
0 150 28,979,901,420,544 0.005798 -0.124527