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FINAL TOTAL RESOLUTION [RES226] · 6-CARD PROOF

Player 3 + 7 (7) vs. Banker 3 (Draws 8 (8)): 6-Card Resolution #226

In walkthrough RES226, Player opens with 9+4 (3) and draws fifth-card 7 (7) for a modulo-10 total of 0, while Banker opens with 10+3 (3) and draws sixth-card 8 (8) for 1 (6-card B outcome).

RES226 Player Path
P:3->0
RES226 Banker Path
B:3->1
RES226 Deal Length
6 Cards
RES226 Showdown
B (0v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES226 (P3+7->0 vs B3->1).

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES226 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

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

RES226 Fifth-Card Modulo Proof
(3 + 7) mod 10 = 0 via 7

Player draws fifth-card 7 (value 7), transforming two-card 3 into three-card 0.

RES226 Banker Tableau Lookup
BANKER_TABLEAU[3][7] = true

Banker 3 draws sixth-card 8 (8) so (3+8) mod 10 = 1.

RES226 Card Count & Winner
6 Cards -> B (0 vs 1)

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

RES226 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 · RES226

Step-by-Step Card Arithmetic for RES226: P(9+4)+7 vs B(10+3)

Engine check [RES226] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 10+3 (3); adding fifth-card 7 (7) gives 10, which evaluates modulo ten to 0.

[RES226-B] Six-card branch [RES226] activates as 7 (7) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 8 (8) sends 3+8=11 to 1.

Complete 6-Card Resolution Trace for RES226
RES226 StageRES226 CardsRES226 Modulo MathRES226 Status
[RES226:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES226:5th]Player +7 (7)(3+7) mod 10 = 05th Card Sideways
[RES226:6th]Banker +8 (8)(3+8) mod 10 = 16-Card Final
[RES226:Settle]P=0 vs B=1Winner: BBig Road +B
  • [RES226-1] Confirm [RES226] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES226-2] Add [RES226] fifth-card 7 (7) to P=3 for (3+7) mod 10 = 0.
  • [RES226-3] Run [RES226] BANKER_TABLEAU[3][7]=true to settle 0 vs 1 (B).
SETTLEMENT & SCOREBOARD · RES226

Showdown Settlement & Scoreboard Logging for RES226 (0 vs 1)

[RES226-C4] Comparing [RES226] final totals (6c), Player 0 vs Banker 1 awards [RES226] to Banker (B), which pays 0.95:1 on 5%-commission [RES226] layouts (or 0.5:1 on 6 at No-Commission [RES226] tables) and appends B to PPBBPBPPBB.

[RES226-D1] Side-bet & road check for [RES226] (P3+7->0 vs B3->1, 6c): [RES226] leaves [RES226] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES226] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES226] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES226, Banker 3 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[3][7] = true.
MythBecause RES226 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

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android