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FINAL TOTAL RESOLUTION [RES254] · 6-CARD PROOF

Player 1 + 2 (2) vs. Banker 4 (Draws 6 (6)): 6-Card Resolution #254

In walkthrough RES254, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with A+3 (4) and draws sixth-card 6 (6) for 0 (6-card P outcome).

RES254 Player Path
P:1->3
RES254 Banker Path
B:4->0
RES254 Deal Length
6 Cards
RES254 Showdown
P (3v0)
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 RES254 (P1+2->3 vs B4->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

RES254 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.

RES254 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES254 Banker Tableau Lookup
BANKER_TABLEAU[4][2] = true

Banker 4 draws sixth-card 6 (6) so (4+6) mod 10 = 0.

RES254 Card Count & Winner
6 Cards -> P (3 vs 0)

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

RES254 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 · RES254

Step-by-Step Card Arithmetic for RES254: P(7+4)+2 vs B(A+3)

Engine check [RES254] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker A+3 (4); adding fifth-card 2 (2) gives 3, which evaluates modulo ten to 3.

[RES254-B] Triggered by 2 (2) in [RES254] (4-point six-value gate (2..7)), Banker 4 receives 6 (6) and computes (4+6) mod 10 = 0.

Complete 6-Card Resolution Trace for RES254
RES254 StageRES254 CardsRES254 Modulo MathRES254 Status
[RES254:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES254:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES254:6th]Banker +6 (6)(4+6) mod 10 = 06-Card Final
[RES254:Settle]P=3 vs B=0Winner: PBig Road +P
  • [RES254-1] Confirm [RES254] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES254-2] Add [RES254] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES254-3] Run [RES254] BANKER_TABLEAU[4][2]=true to settle 3 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES254

Showdown Settlement & Scoreboard Logging for RES254 (3 vs 0)

[RES254-C1] Comparing [RES254] final totals (6c), Player 3 vs Banker 0 awards [RES254] to Player (P), which pays 1:1 even money on [RES254] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES254-D6] Side-bet & road check for [RES254] (P1+2->3 vs B4->0, 6c): [RES254] leaves [RES254] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES254] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES254] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES254, Banker 4 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[4][2] = true.
MythBecause RES254 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