When the Banker holds a two-card total of 6 and the Player draws a third card with a point value of 7 (a 7), the official Punto Banco tableau mandates that the Banker DRAWS. Every such hand resolves in exactly 6 cards (3 Player, 3 Banker).
Engine-verified scoreboard accompanying the Banker 6 vs. Player third-card 7 (DRAW) cell.
Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.
This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.
Column 5 has 2 beads. Column 2 has 1 bead. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Verified directly against packages/core/lib/baccarat/handResolution.ts.
Player holds 3 cards and Banker holds 3 cards.
Resulting modulo-10 Player totals when adding 7 to legal drawing totals 0–5.
How a standing Banker 6 compares against the 6 possible Player 3-card totals when P3=7.
Confirmed via resolveHand() with sample sixth card 3 (5B/0P/1T across the 6 Player starts).
When the Banker holds a two-card 6 and the Player draws a 7 as their third card, the Banker MUST DRAW a sixth card.
A Player third-card 7 turns Player starting totals of 0, 1, and 2 into 7, 8, and 9—all of which defeat a standing Banker 6. Drawing onto 6 is the only path to reach 7, 8, or 9 via an Ace, 2, or 3.
For Banker 6 facing Player's third card 7 (7), combining 7 with the 6 legal Player starts (0..5) yields the specific Player 3-card sequence [0+7→7; 1+7→8; 2+7→9; 3+7→0; 4+7→1; 5+7→2], against which Banker 6 (2+4) tallies 3 standing wins, 0 pushes, and 3 deficits.
| Player 2-Card Start | Player Draws 7 (Value 7) | Banker 6 Tableau Rule | Hand Size | Sample Outcome (Banker Draw = 3) |
|---|---|---|---|---|
| Player starts at 0 (10+K) | Draws 7 (val 7) → Player 3-card total 7 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Banker wins (9 vs 7) |
| Player starts at 1 (10+A) | Draws 7 (val 7) → Player 3-card total 8 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Banker wins (9 vs 8) |
| Player starts at 2 (A+A) | Draws 7 (val 7) → Player 3-card total 9 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Tie at 9 |
| Player starts at 3 (A+2) | Draws 7 (val 7) → Player 3-card total 0 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Banker wins (9 vs 0) |
| Player starts at 4 (2+2) | Draws 7 (val 7) → Player 3-card total 1 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Banker wins (9 vs 1) |
| Player starts at 5 (2+3) | Draws 7 (val 7) → Player 3-card total 2 | Banker 6 DRAWS (e.g. +3 → 9) | 6 cards dealt | Banker wins (9 vs 2) |
In the [6 vs 7] draw branch (2+4 drawing against Player's 7), a 6th card is dealt from the shoe: catching a 1 forms a 3-card Banker 7 (Dragon 7), whereas catching a 0 forms a 3-card Banker 6 (Super 6).
Testing [6 vs 7] with sixth-card 3 across all 6 Player starts yields 5B / 0P / 1T on shoe BBBBPBPBBPPP…
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