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Last Updated: March 28, 2022

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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.


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