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FINAL TOTAL RESOLUTION [RES006] · 6-CARD PROOF

Player 5 + 10 (0) vs. Banker 0 (Draws 10 (0)): 6-Card Resolution #6

In walkthrough RES006, Player opens with A+4 (5) and draws fifth-card 10 (0) for a modulo-10 total of 5, while Banker opens with 6+4 (0) and draws sixth-card 10 (0) for 0 (6-card P outcome).

RES006 Player Path
P:5->5
RES006 Banker Path
B:0->0
RES006 Deal Length
6 Cards
RES006 Showdown
P (5v0)
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 RES006 (P5+0->5 vs B0->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

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

RES006 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES006 Fifth-Card Modulo Proof
(5 + 0) mod 10 = 5 via 10

Player draws fifth-card 10 (value 0), transforming two-card 5 into three-card 5.

RES006 Banker Tableau Lookup
BANKER_TABLEAU[0][0] = true

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

RES006 Card Count & Winner
6 Cards -> P (5 vs 0)

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

RES006 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 · RES006

Step-by-Step Card Arithmetic for RES006: P(A+4)+10 vs B(6+4)

Canonical test [RES006] examines Player 5 (A+4) against Banker 0 (6+4); the fifth card 10 (0) brings Player's raw count to 5, which computes the single-digit remainder to 5.

[RES006-B] Six-card branch [RES006] activates as 10 (0) hits Banker 0's 0-point unconditional draw tier; drawing 10 (0) sends 0+0=0 to 0.

Complete 6-Card Resolution Trace for RES006
RES006 StageRES006 CardsRES006 Modulo MathRES006 Status
[RES006:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES006:5th]Player +10 (0)(5+0) mod 10 = 55th Card Sideways
[RES006:6th]Banker +10 (0)(0+0) mod 10 = 06-Card Final
[RES006:Settle]P=5 vs B=0Winner: PBig Road +P
  • [RES006-1] Confirm [RES006] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES006-2] Add [RES006] fifth-card 10 (0) to P=5 for (5+0) mod 10 = 5.
  • [RES006-3] Run [RES006] BANKER_TABLEAU[0][0]=true to settle 5 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES006

Showdown Settlement & Scoreboard Logging for RES006 (5 vs 0)

[RES006-C4] Comparing [RES006] final totals (6c), Player 5 vs Banker 0 awards [RES006] to Player (P), which pays 1:1 even money on [RES006] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES006-D10] Side-bet & road check for [RES006] (P5+0->5 vs B0->0, 6c): [RES006] leaves [RES006] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES006] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES006] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES006, Banker 0 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[0][0] = true.
MythBecause RES006 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