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FINAL TOTAL RESOLUTION [RES066] · 6-CARD PROOF

Player 5 + 10 (0) vs. Banker 1 (Draws A (1)): 6-Card Resolution #66

In walkthrough RES066, Player opens with A+4 (5) and draws fifth-card 10 (0) for a modulo-10 total of 5, while Banker opens with 10+A (1) and draws sixth-card A (1) for 2 (6-card P outcome).

RES066 Player Path
P:5->5
RES066 Banker Path
B:1->2
RES066 Deal Length
6 Cards
RES066 Showdown
P (5v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES066 (P5+0->5 vs B1->2).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

RES066 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES066 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.

RES066 Banker Tableau Lookup
BANKER_TABLEAU[1][0] = true

Banker 1 draws sixth-card A (1) so (1+1) mod 10 = 2.

RES066 Card Count & Winner
6 Cards -> P (5 vs 2)

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

RES066 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 · RES066

Step-by-Step Card Arithmetic for RES066: P(A+4)+10 vs B(10+A)

In coup [RES066], initial cards deal A+4=5 to Player and 10+A=1 to Banker; lacking a four-card natural, Player takes fifth-card 10 (0) where raw sum 5 projects onto the 0..9 ring to 5.

[RES066-B] Under 1-point automatic draw row for [RES066], exposed 10 (0) obligates Banker 1 to draw A (1), converting 1+1=2 into 2.

Complete 6-Card Resolution Trace for RES066
RES066 StageRES066 CardsRES066 Modulo MathRES066 Status
[RES066:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES066:5th]Player +10 (0)(5+0) mod 10 = 55th Card Sideways
[RES066:6th]Banker +A (1)(1+1) mod 10 = 26-Card Final
[RES066:Settle]P=5 vs B=2Winner: PBig Road +P
  • [RES066-1] Confirm [RES066] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES066-2] Add [RES066] fifth-card 10 (0) to P=5 for (5+0) mod 10 = 5.
  • [RES066-3] Run [RES066] BANKER_TABLEAU[1][0]=true to settle 5 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES066

Showdown Settlement & Scoreboard Logging for RES066 (5 vs 2)

[RES066-C7] Comparing [RES066] final totals (6c), Player 5 vs Banker 2 awards [RES066] to Player (P), which pays 1:1 even money on [RES066] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES066-D4] Side-bet & road check for [RES066] (P5+0->5 vs B1->2, 6c): [RES066] leaves [RES066] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES066] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES066] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES066, Banker 1 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[1][0] = true.
MythBecause RES066 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

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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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