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FINAL TOTAL RESOLUTION [RES224] · 6-CARD PROOF

Player 1 + 7 (7) vs. Banker 3 (Draws 10 (0)): 6-Card Resolution #224

In walkthrough RES224, Player opens with 7+4 (1) and draws fifth-card 7 (7) for a modulo-10 total of 8, while Banker opens with 10+3 (3) and draws sixth-card 10 (0) for 3 (6-card P outcome).

RES224 Player Path
P:1->8
RES224 Banker Path
B:3->3
RES224 Deal Length
6 Cards
RES224 Showdown
P (8v3)
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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES224 (P1+7->8 vs B3->3).

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

RES224 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES224 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.

RES224 Banker Tableau Lookup
BANKER_TABLEAU[3][7] = true

Banker 3 draws sixth-card 10 (0) so (3+0) mod 10 = 3.

RES224 Card Count & Winner
6 Cards -> P (8 vs 3)

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

RES224 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 · RES224

Step-by-Step Card Arithmetic for RES224: P(7+4)+7 vs B(10+3)

Step-by-step proof [RES224] pairs Player 7+4 (1) with Banker 10+3 (3); because 1 sits in the 0..5 draw zone, fifth-card 7 (7) lands and 1+7=8 resolves the unit-digit sum to 8.

[RES224-B] Evaluating bankerShouldDraw(3, 7)=true (3-point single-shade row (0..7, 9)) in [RES224], sixth-card 10 (0) advances Banker 3 via 3+0=3 to 3.

Complete 6-Card Resolution Trace for RES224
RES224 StageRES224 CardsRES224 Modulo MathRES224 Status
[RES224:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES224:5th]Player +7 (7)(1+7) mod 10 = 85th Card Sideways
[RES224:6th]Banker +10 (0)(3+0) mod 10 = 36-Card Final
[RES224:Settle]P=8 vs B=3Winner: PBig Road +P
  • [RES224-1] Confirm [RES224] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES224-2] Add [RES224] fifth-card 7 (7) to P=1 for (1+7) mod 10 = 8.
  • [RES224-3] Run [RES224] BANKER_TABLEAU[3][7]=true to settle 8 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES224

Showdown Settlement & Scoreboard Logging for RES224 (8 vs 3)

[RES224-C5] Comparing [RES224] final totals (6c), Player 8 vs Banker 3 awards [RES224] to Player (P), which pays 1:1 even money on [RES224] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES224-D9] Side-bet & road check for [RES224] (P1+7->8 vs B3->3, 6c): [RES224] leaves [RES224] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and triggers [RES224] Panda 8 (winning 3-card Player 8, 25:1); on [RES224] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES224, Banker 3 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[3][7] = true.
MythBecause RES224 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

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
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