DashboardExact casino math

Baccarat

Exact third-card logic with standard Player, Banker, and Tie payout references.

Analyzer

Baccarat draw matrix

Set the current totals in the sidebar; the highlighted matrix cell shows the Banker branch.

Bank total	Player stands	P3 0	P3 1	P3 2	P3 3	P3 4	P3 5	P3 6	P3 7	P3 8	P3 9
0	Draw	D	D	D	D	D	D	D	D	D	D
1	Draw	D	D	D	D	D	D	D	D	D	D
2	Draw	D	D	D	D	D	D	D	D	D	D
3	Draw	D	D	D	D	D	D	D	D	S	D
4	Draw	S	S	D	D	D	D	D	D	S	S
5	Draw	S	S	S	S	D	D	D	D	S	S
6	Stand	S	S	S	S	S	S	D	D	S	S
7	Stand	S	S	S	S	S	S	S	S	S	S

Rules

Baccarat stays deterministic once the two-card totals and the Player third card are known.

Player and Banker actions are entirely rule-driven once the two-card totals and Player third card are known.

Naturals on 8 or 9 end the round immediately.
Player draws on totals 0 through 5 and stands on 6 or 7.
If Player stands, Banker draws on 0 through 5 and stands on 6 or 7.
If Player draws, Banker follows the standard third-card table based on Bank total and Player third card.
The standard wager probabilities below assume the common commission game and published eight-deck outcome frequencies.