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 |