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FINAL TOTAL RESOLUTION [RES088] · 6-CARD PROOF

Player 3 + 4 (4) vs. Banker 1 (Draws 9 (9)): 6-Card Resolution #88

In walkthrough RES088, Player opens with 9+4 (3) and draws fifth-card 4 (4) for a modulo-10 total of 7, while Banker opens with 10+A (1) and draws sixth-card 9 (9) for 0 (6-card P outcome).

RES088 Player Path
P:3->7
RES088 Banker Path
B:1->0
RES088 Deal Length
6 Cards
RES088 Showdown
P (7v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P B P B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES088 (P3+4->7 vs B1->0).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. 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.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES088 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES088 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES088 Banker Tableau Lookup
BANKER_TABLEAU[1][4] = true

Banker 1 draws sixth-card 9 (9) so (1+9) mod 10 = 0.

RES088 Card Count & Winner
6 Cards -> P (7 vs 0)

Computed directly from resolveHand() with zero discretionary dealer options.

RES088 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES088

Step-by-Step Card Arithmetic for RES088: P(9+4)+4 vs B(10+A)

Within resolution [RES088], Player's opening 9+4 totals 3 against Banker's 10+A (1); Punto Banco rules require drawing 4 (4), and 3+4=7 extracts the terminal digit to 7.

[RES088-B] Because BANKER_TABLEAU[1][4]=true (1-point automatic draw row) in [RES088], Banker 1 takes sixth-card 9 (9) and 1+9=10 settles at 0.

Complete 6-Card Resolution Trace for RES088
RES088 StageRES088 CardsRES088 Modulo MathRES088 Status
[RES088:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES088:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES088:6th]Banker +9 (9)(1+9) mod 10 = 06-Card Final
[RES088:Settle]P=7 vs B=0Winner: PBig Road +P
  • [RES088-1] Confirm [RES088] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES088-2] Add [RES088] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES088-3] Run [RES088] BANKER_TABLEAU[1][4]=true to settle 7 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES088

Showdown Settlement & Scoreboard Logging for RES088 (7 vs 0)

[RES088-C7] Comparing [RES088] final totals (6c), Player 7 vs Banker 0 awards [RES088] to Player (P), which pays 1:1 even money on [RES088] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES088-D7] Side-bet & road check for [RES088] (P3+4->7 vs B1->0, 6c): [RES088] leaves [RES088] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES088] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES088] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES088, Banker 1 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[1][4] = true.
MythBecause RES088 resolves as P, the next derived-road mark must match P's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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