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Dai Bacc Commission-Free Baccarat
Introduction
Dai Bacc is a variant of commission-free baccarat where a Banker win with a three-card total of seven is a push for the Banker bet. In addition to the usual bets on Player, Banker and Tie, Dai Bacc adds three side bets, explained below.
Rules
- Tiger 7 — This bet pays 40 to 1 if the Banker wins with a three-card total of seven. This is the same thing as the Dragon 7 side bet at other baccarat tables.
- Ox 6 — This bet pays 40 to 1 if the Player wins with a three-card total of six.
- Kill — The Kill bet wins under either of these conditions:
- The Banker loses or ties with a three-card total of seven.
- The Player loses or ties with a three-card total of six.
Tiger 7 Analysis
The following table shows my analysis of the Tiger 7/Dragon 7 bet. The lower right cell shows a house edge of 7.61%.
Tiger 7
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 40 | 112,633,011,329,024 | 0.022534 | 0.901353 |
Loss | -1 | 4,885,765,264,174,340 | 0.977466 | -0.977466 |
Total | 4,998,398,275,503,360 | 1.000000 | -0.076113 |
Ox 6 Analysis
The following table shows my analysis of the Ox 6 7 bet. The lower right cell shows a house edge of 10.34%.
Ox 6
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 40 | 109,309,407,541,248 | 0.021869 | 0.874755 |
Loss | -1 | 4,889,088,867,962,110 | 0.978131 | -0.978131 |
Total | 4,998,398,275,503,360 | 1.000000 | -0.103376 |
Kill Analysis
The following table shows my analysis of the Kill 7 bet. The lower right cell shows a house edge of 13.76%.
Kill Bet Return Table
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 30 | 139,058,824,534,272 | 0.027821 | 0.834620 |
Loss | -1 | 4,859,339,450,969,090 | 0.972179 | -0.972179 |
Total | 4,998,398,275,503,360 | 1.000000 | -0.137559 |
The following table breaks down the combinations and probability of both ways to win the Kill bet.
Kill Bet Details
Event | Combinations | Probability |
---|---|---|
Banker loses or ties with 3-card 7 | 54,956,551,870,464 | 0.010995 |
Player loses or ties with three-card six | 84,102,272,663,808 | 0.016826 |
Total | 139,058,824,534,272 | 0.027821 |
External Links
AGS — AGS promotional information about Dai Bacc.