When the Player's initial two cards sum to 3 (10+3 or 9+4) in guide PT3, Punto Banco rules mandate a fifth-card draw whenever Banker holds 0–7 (and a 4-card lockout if Banker holds Natural 8 or 9).
Engine-verified road board paired with Player two-card total 3 (PT3) resolution table.
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.
This bead is at Row 4. Column 1 stopped at Row 1, 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.
Column 6 has 1 bead. Column 3 has 4 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.
isNatural(3)=false, playerShouldDraw(3)=true.
Verified two-card combinations producing initial Player total 3.
Exact dealer sequence when Player 3 faces non-natural Banker 0–7.
Natural priority rule verified across Banker 8 and Banker 9.
Audited across Banker totals 0–9 via resolveHand().
In rule [PT3], Player opens with 10+3 or 9+4 for modulo-10 total 3. Against Banker 0–7, [PT3] requires Player to draw a fifth card (such as 6 for 9) before Banker consults BANKER_TABLEAU.
Across all 10 Banker starts (0–9) in [PT3] with sample fifth-card 6, resolveHand() records 8 Player wins, 2 Banker wins, and 0 ties.
| PT3 Banker Start | PT3 Player Step | PT3 Banker Step | PT3 Cards | PT3 Winner |
|---|---|---|---|---|
| [PT3:B0] B(10+K=0) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=0 +8->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B1] B(10+A=1) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=1 +7->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B2] B(10+2=2) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=2 +6->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B3] B(10+3=3) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=3 +5->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B4] B(2+2=4) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=4 +4->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B5] B(2+3=5) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=5 +3->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B6] B(3+3=6) | [PT3:Draw] P=3 +6->9 | [PT3:B3] B=6 +2->8 | [PT3:Cnt] 6 cards | [PT3:Res] P (9v8) |
| [PT3:B7] B(3+4=7) | [PT3:Draw] P=3 +6->9 | [PT3:BPat] B=7 stands at 7 | [PT3:Cnt] 5 cards | [PT3:Res] P (9v7) |
| [PT3:B8] B(10+8=8) | [PT3:Nat] banker natural (3v8) | [PT3:BPat] B=8 stands at 8 | [PT3:Cnt] 4 cards | [PT3:Res] B (3v8) |
| [PT3:B9] B(10+9=9) | [PT3:Nat] banker natural (3v9) | [PT3:BPat] B=9 stands at 9 | [PT3:Cnt] 4 cards | [PT3:Res] B (3v9) |
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