When the Banker holds a two-card total of 4 and the Player draws a third card with a point value of 1 (an Ace), the official Punto Banco tableau mandates that the Banker STANDS. Every such hand resolves in exactly 5 cards (3 Player, 2 Banker).
Engine-verified scoreboard accompanying the Banker 4 vs. Player third-card 1 (STAND) cell.
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 3 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 4 has 3 beads. Column 1 has 4 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 2 cards.
Resulting modulo-10 Player totals when adding 1 to legal drawing totals 0–5.
How a standing Banker 4 compares against the 6 possible Player 3-card totals when P3=1.
Confirmed via resolveHand() with sample sixth card 5 (3B/2P/1T across the 6 Player starts).
Banker 4 vs. Player third-card Ace (1) sits on the lower cutoff edge of the Banker 4 rule: the Banker MUST STAND because the draw window for Banker 4 starts at 2.
When the Player draws an Ace onto 0, 1, 2, or 3, the Player finishes with 1, 2, 3, or 4—none of which beat a standing Banker 4. Only a Player starting with 4 or 5 reaches 5 or 6 with an Ace, making standing on 4 the higher-expectation play.
For Banker 4 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 4 (2+2) tallies 3 standing wins, 1 pushes, and 2 deficits.
| Player 2-Card Start | Player Draws A (Value 1) | Banker 4 Tableau Rule | Hand Size | Sample Outcome (Banker Draw = 5) |
|---|---|---|---|---|
| Player starts at 0 (10+K) | Draws A (val 1) → Player 3-card total 1 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Banker wins (4 vs 1) |
| Player starts at 1 (10+A) | Draws A (val 1) → Player 3-card total 2 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Banker wins (4 vs 2) |
| Player starts at 2 (A+A) | Draws A (val 1) → Player 3-card total 3 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Banker wins (4 vs 3) |
| Player starts at 3 (A+2) | Draws A (val 1) → Player 3-card total 4 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Tie at 4 |
| Player starts at 4 (2+2) | Draws A (val 1) → Player 3-card total 5 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Player wins (5 vs 4) |
| Player starts at 5 (2+3) | Draws A (val 1) → Player 3-card total 6 | Banker 4 STANDS at 2-card total 4 | 5 cards dealt | Player wins (6 vs 4) |
In the [4 vs 1] stand branch (2+2 pat at 4 against Player's A), dealing stops at 5 cards—eliminating 3-card Banker Dragon 7 while preserving Panda 8 whenever Player opened on 7 (2+3) and drew A.
Testing [4 vs 1] with sixth-card 5 across all 6 Player starts yields 3B / 2P / 1T on shoe BBBBPPBBBPPP…
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