When the Banker holds a two-card total of 3 and the Player draws a third card with a point value of 0 (10, Jack, Queen, or King), 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 0 (DRAW) cell.
Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.
This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).
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 4 has 3 beads. Column 1 has 6 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
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 0 to legal drawing totals 0–5.
How a standing Banker 3 compares against the 6 possible Player 3-card totals when P3=0.
Confirmed via resolveHand() with sample sixth card 5 (6B/0P/0T across the 6 Player starts).
When the Player draws a 10, Jack, Queen, or King (worth 0 points), the Player's total does not change—yet the Banker holding 3 still draws a third card.
Because 10, J, Q, and K comprise 128 of the 416 cards in an 8-deck shoe (30.77% of all cards), a 0-value Player third card is the most frequent fifth card dealt at the table. Banker 3 draws against it because 6 of the 10 possible draw values (1 through 6) elevate Banker 3 to 4 through 9.
For Banker 3 facing Player's third card 0 (10), combining 0 with the 6 legal Player starts (0..5) yields the specific Player 3-card sequence [0+0→0; 1+0→1; 2+0→2; 3+0→3; 4+0→4; 5+0→5], against which Banker 3 (10+3) tallies 3 standing wins, 1 pushes, and 2 deficits.
| Player 2-Card Start | Player Draws 10 (Value 0) | Banker 3 Tableau Rule | Hand Size | Sample Outcome (Banker Draw = 5) |
|---|---|---|---|---|
| Player starts at 0 (10+K) | Draws 10 (val 0) → Player 3-card total 0 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 0) |
| Player starts at 1 (10+A) | Draws 10 (val 0) → Player 3-card total 1 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 1) |
| Player starts at 2 (A+A) | Draws 10 (val 0) → Player 3-card total 2 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 2) |
| Player starts at 3 (A+2) | Draws 10 (val 0) → Player 3-card total 3 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 3) |
| Player starts at 4 (2+2) | Draws 10 (val 0) → Player 3-card total 4 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 4) |
| Player starts at 5 (2+3) | Draws 10 (val 0) → Player 3-card total 5 | Banker 3 DRAWS (e.g. +5 → 8) | 6 cards dealt | Banker wins (8 vs 5) |
In the [3 vs 0] draw branch (10+3 drawing against Player's 10), 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 0] with sixth-card 5 across all 6 Player starts yields 6B / 0P / 0T on shoe BBBBBBPPBPPP…
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