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FINAL TOTAL RESOLUTION [RES072] · 6-CARD PROOF

Player 5 + A (1) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #72

In walkthrough RES072, Player opens with A+4 (5) and draws fifth-card A (1) for a modulo-10 total of 6, while Banker opens with 10+A (1) and draws sixth-card 10 (0) for 1 (6-card P outcome).

RES072 Player Path
P:5->6
RES072 Banker Path
B:1->1
RES072 Deal Length
6 Cards
RES072 Showdown
P (6v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES072 (P5+1->6 vs B1->1).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES072 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.

RES072 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

Player draws fifth-card A (value 1), transforming two-card 5 into three-card 6.

RES072 Banker Tableau Lookup
BANKER_TABLEAU[1][1] = true

Banker 1 draws sixth-card 10 (0) so (1+0) mod 10 = 1.

RES072 Card Count & Winner
6 Cards -> P (6 vs 1)

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

RES072 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 · RES072

Step-by-Step Card Arithmetic for RES072: P(A+4)+A vs B(10+A)

Engine check [RES072] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 10+A (1); adding fifth-card A (1) gives 6, which evaluates modulo ten to 6.

[RES072-B] Triggered by A (1) in [RES072] (1-point automatic draw row), Banker 1 receives 10 (0) and computes (1+0) mod 10 = 1.

Complete 6-Card Resolution Trace for RES072
RES072 StageRES072 CardsRES072 Modulo MathRES072 Status
[RES072:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES072:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES072:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES072:Settle]P=6 vs B=1Winner: PBig Road +P
  • [RES072-1] Confirm [RES072] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES072-2] Add [RES072] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES072-3] Run [RES072] BANKER_TABLEAU[1][1]=true to settle 6 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES072

Showdown Settlement & Scoreboard Logging for RES072 (6 vs 1)

[RES072-C4] Comparing [RES072] final totals (6c), Player 6 vs Banker 1 awards [RES072] to Player (P), which pays 1:1 even money on [RES072] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES072-D6] Side-bet & road check for [RES072] (P5+1->6 vs B1->1, 6c): [RES072] leaves [RES072] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES072] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES072] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES072, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[1][1] = true.
MythBecause RES072 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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