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FINAL TOTAL RESOLUTION [RES222] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 3 (Draws 7 (7)): 6-Card Resolution #222

In walkthrough RES222, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with 10+3 (3) and draws sixth-card 7 (7) for 0 (6-card P outcome).

RES222 Player Path
P:5->1
RES222 Banker Path
B:3->0
RES222 Deal Length
6 Cards
RES222 Showdown
P (1v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES222 (P5+6->1 vs B3->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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES222 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES222 Fifth-Card Modulo Proof
(5 + 6) mod 10 = 1 via 6

Player draws fifth-card 6 (value 6), transforming two-card 5 into three-card 1.

RES222 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card 7 (7) so (3+7) mod 10 = 0.

RES222 Card Count & Winner
6 Cards -> P (1 vs 0)

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

RES222 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 · RES222

Step-by-Step Card Arithmetic for RES222: P(A+4)+6 vs B(10+3)

Floor verification [RES222] inspects Player A+4 (5) versus Banker 10+3 (3); once fifth-card 6 (6) is exposed sideways, 5+6=11 drops the tens digit to three-card 1.

[RES222-B] Under 3-point single-shade row (0..7, 9) for [RES222], exposed 6 (6) obligates Banker 3 to draw 7 (7), converting 3+7=10 into 0.

Complete 6-Card Resolution Trace for RES222
RES222 StageRES222 CardsRES222 Modulo MathRES222 Status
[RES222:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES222:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES222:6th]Banker +7 (7)(3+7) mod 10 = 06-Card Final
[RES222:Settle]P=1 vs B=0Winner: PBig Road +P
  • [RES222-1] Confirm [RES222] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES222-2] Add [RES222] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES222-3] Run [RES222] BANKER_TABLEAU[3][6]=true to settle 1 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES222

Showdown Settlement & Scoreboard Logging for RES222 (1 vs 0)

[RES222-C6] Comparing [RES222] final totals (6c), Player 1 vs Banker 0 awards [RES222] to Player (P), which pays 1:1 even money on [RES222] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES222-D4] Side-bet & road check for [RES222] (P5+6->1 vs B3->0, 6c): [RES222] leaves [RES222] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES222] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES222] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES222, Banker 3 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES222 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android