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FINAL TOTAL RESOLUTION [RES218] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 3 (Draws A (1)): 6-Card Resolution #218

In walkthrough RES218, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with 10+3 (3) and draws sixth-card A (1) for 4 (6-card P outcome).

RES218 Player Path
P:1->7
RES218 Banker Path
B:3->4
RES218 Deal Length
6 Cards
RES218 Showdown
P (7v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES218 (P1+6->7 vs B3->4).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES218 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.

RES218 Fifth-Card Modulo Proof
(1 + 6) mod 10 = 7 via 6

Player draws fifth-card 6 (value 6), transforming two-card 1 into three-card 7.

RES218 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card A (1) so (3+1) mod 10 = 4.

RES218 Card Count & Winner
6 Cards -> P (7 vs 4)

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

RES218 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 · RES218

Step-by-Step Card Arithmetic for RES218: P(7+4)+6 vs B(10+3)

Arithmetic trace [RES218] starts from four-card deal 7+4=1 vs 10+3=3; Player's compulsory draw of 6 (pip value 6) produces raw 7, which wraps modulo-10 to 7.

[RES218-B] Because BANKER_TABLEAU[3][6]=true (3-point single-shade row (0..7, 9)) in [RES218], Banker 3 takes sixth-card A (1) and 3+1=4 settles at 4.

Complete 6-Card Resolution Trace for RES218
RES218 StageRES218 CardsRES218 Modulo MathRES218 Status
[RES218:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES218:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES218:6th]Banker +A (1)(3+1) mod 10 = 46-Card Final
[RES218:Settle]P=7 vs B=4Winner: PBig Road +P
  • [RES218-1] Confirm [RES218] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES218-2] Add [RES218] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES218-3] Run [RES218] BANKER_TABLEAU[3][6]=true to settle 7 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES218

Showdown Settlement & Scoreboard Logging for RES218 (7 vs 4)

[RES218-C8] Comparing [RES218] final totals (6c), Player 7 vs Banker 4 awards [RES218] to Player (P), which pays 1:1 even money on [RES218] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES218-D7] Side-bet & road check for [RES218] (P1+6->7 vs B3->4, 6c): [RES218] leaves [RES218] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES218] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES218] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES218, Banker 3 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES218 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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