When the Banker holds a two-card total of 3 and the Player draws a third card with a point value of 1 (an Ace), 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 3 vs. Player third-card 1 (DRAW) cell.
This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Column 5 has 1 bead. Column 2 has 4 beads. 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 1 to legal drawing totals 0–5.
How a standing Banker 3 compares against the 6 possible Player 3-card totals when P3=1.
Confirmed via resolveHand() with sample sixth card 4 (6B/0P/0T across the 6 Player starts).
When the Player draws an Ace (value 1) as their third card, a Banker holding a two-card 3 always draws a sixth card.
An Ace increases the Player's starting 0–5 total by exactly 1 point (landing on 1 through 6). Half of those outcomes (4, 5, and 6) beat a standing Banker 3, so the Banker draws to capture totals of 4 through 9.
For Banker 3 facing Player's third card 1 (A), combining 1 with the 6 legal Player starts (0..5) yields the specific Player 3-card sequence [0+1→1; 1+1→2; 2+1→3; 3+1→4; 4+1→5; 5+1→6], against which Banker 3 (K+3) tallies 2 standing wins, 1 pushes, and 3 deficits.
| Player 2-Card Start | Player Draws A (Value 1) | Banker 3 Tableau Rule | Hand Size | Sample Outcome (Banker Draw = 4) |
|---|---|---|---|---|
| Player starts at 0 (10+K) | Draws A (val 1) → Player 3-card total 1 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 1) |
| Player starts at 1 (10+A) | Draws A (val 1) → Player 3-card total 2 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 2) |
| Player starts at 2 (A+A) | Draws A (val 1) → Player 3-card total 3 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 3) |
| Player starts at 3 (A+2) | Draws A (val 1) → Player 3-card total 4 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 4) |
| Player starts at 4 (2+2) | Draws A (val 1) → Player 3-card total 5 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 5) |
| Player starts at 5 (2+3) | Draws A (val 1) → Player 3-card total 6 | Banker 3 DRAWS (e.g. +4 → 7) | 6 cards dealt | Banker wins (7 vs 6) |
In the [3 vs 1] draw branch (K+3 drawing against Player's A), a 6th card is dealt from the shoe: catching a 4 forms a 3-card Banker 7 (Dragon 7), whereas catching a 3 forms a 3-card Banker 6 (Super 6).
Testing [3 vs 1] with sixth-card 4 across all 6 Player starts yields 6B / 0P / 0T on shoe PPBBBBPPBBPB…
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