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FINAL TOTAL RESOLUTION [RES227] · 6-CARD PROOF

Player 4 + 7 (7) vs. Banker 3 (Draws 2 (2)): 6-Card Resolution #227

In walkthrough RES227, Player opens with 2+2 (4) and draws fifth-card 7 (7) for a modulo-10 total of 1, while Banker opens with 9+4 (3) and draws sixth-card 2 (2) for 5 (6-card B outcome).

RES227 Player Path
P:4->1
RES227 Banker Path
B:3->5
RES227 Deal Length
6 Cards
RES227 Showdown
B (1v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES227 (P4+7->1 vs B3->5).

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

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

RES227 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

Verified non-natural start via handTotal([2,2])=4 and handTotal([9,4])=3.

RES227 Fifth-Card Modulo Proof
(4 + 7) mod 10 = 1 via 7

Player draws fifth-card 7 (value 7), transforming two-card 4 into three-card 1.

RES227 Banker Tableau Lookup
BANKER_TABLEAU[3][7] = true

Banker 3 draws sixth-card 2 (2) so (3+2) mod 10 = 5.

RES227 Card Count & Winner
6 Cards -> B (1 vs 5)

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

RES227 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 · RES227

Step-by-Step Card Arithmetic for RES227: P(2+2)+7 vs B(9+4)

During tableau case [RES227], Player holds 2+2 for 4 while Banker holds 9+4 for 3; drawing fifth-card 7 (7) shifts Player from 4 to 11, which reduces mod-10 to 1.

[RES227-B] Six-card branch [RES227] activates as 7 (7) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 2 (2) sends 3+2=5 to 5.

Complete 6-Card Resolution Trace for RES227
RES227 StageRES227 CardsRES227 Modulo MathRES227 Status
[RES227:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES227:5th]Player +7 (7)(4+7) mod 10 = 15th Card Sideways
[RES227:6th]Banker +2 (2)(3+2) mod 10 = 56-Card Final
[RES227:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES227-1] Confirm [RES227] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES227-2] Add [RES227] fifth-card 7 (7) to P=4 for (4+7) mod 10 = 1.
  • [RES227-3] Run [RES227] BANKER_TABLEAU[3][7]=true to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES227

Showdown Settlement & Scoreboard Logging for RES227 (1 vs 5)

[RES227-C9] Comparing [RES227] final totals (6c), Player 1 vs Banker 5 awards [RES227] to Banker (B), which pays 0.95:1 on 5%-commission [RES227] layouts (or 0.5:1 on 6 at No-Commission [RES227] tables) and appends B to BBPPPBBPBB.

[RES227-D10] Side-bet & road check for [RES227] (P4+7->1 vs B3->5, 6c): [RES227] leaves [RES227] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES227] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES227] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES227, Banker 3 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[3][7] = true.
MythBecause RES227 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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