When the Player's initial two cards sum to 9 (10+9 or 4+5) in guide PT9, Punto Banco rules mandate an immediate 4-card Natural 9 resolution.
Engine-verified road board paired with Player two-card total 9 (PT9) resolution table.
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 4 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
isNatural(9)=true, playerShouldDraw(9)=false.
Verified two-card combinations producing initial Player total 9.
Exact dealer sequence when Player 9 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 [PT9], Player opens with 10+9 or 4+5 for modulo-10 total 9. Because 9 is a Natural, [PT9] halts all third-card dealing at 4 cards against every Banker total 0–9.
Across all 10 Banker starts (0–9) in [PT9] with sample fifth-card 10, resolveHand() records 9 Player wins, 0 Banker wins, and 1 ties.
| PT9 Banker Start | PT9 Player Step | PT9 Banker Step | PT9 Cards | PT9 Winner |
|---|---|---|---|---|
| [PT9:B0] B(10+K=0) | [PT9:Nat] player natural (9v0) | [PT9:BPat] B=0 stands at 0 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v0) |
| [PT9:B1] B(10+A=1) | [PT9:Nat] player natural (9v1) | [PT9:BPat] B=1 stands at 1 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v1) |
| [PT9:B2] B(10+2=2) | [PT9:Nat] player natural (9v2) | [PT9:BPat] B=2 stands at 2 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v2) |
| [PT9:B3] B(10+3=3) | [PT9:Nat] player natural (9v3) | [PT9:BPat] B=3 stands at 3 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v3) |
| [PT9:B4] B(2+2=4) | [PT9:Nat] player natural (9v4) | [PT9:BPat] B=4 stands at 4 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v4) |
| [PT9:B5] B(2+3=5) | [PT9:Nat] player natural (9v5) | [PT9:BPat] B=5 stands at 5 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v5) |
| [PT9:B6] B(3+3=6) | [PT9:Nat] player natural (9v6) | [PT9:BPat] B=6 stands at 6 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v6) |
| [PT9:B7] B(3+4=7) | [PT9:Nat] player natural (9v7) | [PT9:BPat] B=7 stands at 7 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v7) |
| [PT9:B8] B(10+8=8) | [PT9:Nat] both natural (9v8) | [PT9:BPat] B=8 stands at 8 | [PT9:Cnt] 4 cards | [PT9:Res] P (9v8) |
| [PT9:B9] B(10+9=9) | [PT9:Nat] both natural (9v9) | [PT9:BPat] B=9 stands at 9 | [PT9:Cnt] 4 cards | [PT9:Res] T (9v9) |
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