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FINAL TOTAL RESOLUTION [RES278] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 4 (Draws 2 (2)): 6-Card Resolution #278

In walkthrough RES278, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with A+3 (4) and draws sixth-card 2 (2) for 6 (6-card P outcome).

RES278 Player Path
P:1->7
RES278 Banker Path
B:4->6
RES278 Deal Length
6 Cards
RES278 Showdown
P (7v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES278 (P1+6->7 vs B4->6).

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

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES278 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

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

RES278 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.

RES278 Banker Tableau Lookup
BANKER_TABLEAU[4][6] = true

Banker 4 draws sixth-card 2 (2) so (4+2) mod 10 = 6.

RES278 Card Count & Winner
6 Cards -> P (7 vs 6)

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

RES278 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 · RES278

Step-by-Step Card Arithmetic for RES278: P(7+4)+6 vs B(A+3)

Floor verification [RES278] inspects Player 7+4 (1) versus Banker A+3 (4); once fifth-card 6 (6) is exposed sideways, 1+6=7 drops the tens digit to three-card 7.

[RES278-B] Six-card branch [RES278] activates as 6 (6) hits Banker 4's 4-point six-value gate (2..7); drawing 2 (2) sends 4+2=6 to 6.

Complete 6-Card Resolution Trace for RES278
RES278 StageRES278 CardsRES278 Modulo MathRES278 Status
[RES278:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES278:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES278:6th]Banker +2 (2)(4+2) mod 10 = 66-Card Final
[RES278:Settle]P=7 vs B=6Winner: PBig Road +P
  • [RES278-1] Confirm [RES278] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES278-2] Add [RES278] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES278-3] Run [RES278] BANKER_TABLEAU[4][6]=true to settle 7 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES278

Showdown Settlement & Scoreboard Logging for RES278 (7 vs 6)

[RES278-C0] Comparing [RES278] final totals (6c), Player 7 vs Banker 6 awards [RES278] to Player (P), which pays 1:1 even money on [RES278] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES278-D1] Side-bet & road check for [RES278] (P1+6->7 vs B4->6, 6c): [RES278] leaves [RES278] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES278] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES278] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES278, Banker 4 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[4][6] = true.
MythBecause RES278 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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