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FINAL TOTAL RESOLUTION [RES104] · 6-CARD PROOF

Player 1 + 7 (7) vs. Banker 1 (Draws 8 (8)): 6-Card Resolution #104

In walkthrough RES104, Player opens with 7+4 (1) and draws fifth-card 7 (7) for a modulo-10 total of 8, while Banker opens with 10+A (1) and draws sixth-card 8 (8) for 9 (6-card B outcome).

RES104 Player Path
P:1->8
RES104 Banker Path
B:1->9
RES104 Deal Length
6 Cards
RES104 Showdown
B (8v9)
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 RES104 (P1+7->8 vs B1->9).

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

RES104 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+A=1

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,A])=1.

RES104 Fifth-Card Modulo Proof
(1 + 7) mod 10 = 8 via 7

Player draws fifth-card 7 (value 7), transforming two-card 1 into three-card 8.

RES104 Banker Tableau Lookup
BANKER_TABLEAU[1][7] = true

Banker 1 draws sixth-card 8 (8) so (1+8) mod 10 = 9.

RES104 Card Count & Winner
6 Cards -> B (8 vs 9)

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

RES104 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES104

Step-by-Step Card Arithmetic for RES104: P(7+4)+7 vs B(10+A)

Canonical test [RES104] examines Player 1 (7+4) against Banker 1 (10+A); the fifth card 7 (7) brings Player's raw count to 8, which computes the single-digit remainder to 8.

[RES104-B] Acting on 7=7 inside [RES104], Banker 1 follows 1-point automatic draw row and pulls 8 (8) for 1+8=9 -> 9.

Complete 6-Card Resolution Trace for RES104
RES104 StageRES104 CardsRES104 Modulo MathRES104 Status
[RES104:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES104:5th]Player +7 (7)(1+7) mod 10 = 85th Card Sideways
[RES104:6th]Banker +8 (8)(1+8) mod 10 = 96-Card Final
[RES104:Settle]P=8 vs B=9Winner: BBig Road +B
  • [RES104-1] Confirm [RES104] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES104-2] Add [RES104] fifth-card 7 (7) to P=1 for (1+7) mod 10 = 8.
  • [RES104-3] Run [RES104] BANKER_TABLEAU[1][7]=true to settle 8 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES104

Showdown Settlement & Scoreboard Logging for RES104 (8 vs 9)

[RES104-C10] Comparing [RES104] final totals (6c), Player 8 vs Banker 9 awards [RES104] to Banker (B), which pays 0.95:1 on 5%-commission [RES104] layouts (or 0.5:1 on 6 at No-Commission [RES104] tables) and appends B to PPBBPBPBBB.

[RES104-D8] Side-bet & road check for [RES104] (P1+7->8 vs B1->9, 6c): [RES104] leaves [RES104] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES104] Panda 8 inactive (needs winning 3c Player 8, got P=8); on [RES104] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES104, Banker 1 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[1][7] = true.
MythBecause RES104 resolves as B, the next derived-road mark must match B'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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