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FINAL TOTAL RESOLUTION [RES070] · 6-CARD PROOF

Player 3 + A (1) vs. Banker 1 (Draws 2 (2)): 6-Card Resolution #70

In walkthrough RES070, Player opens with 9+4 (3) and draws fifth-card A (1) for a modulo-10 total of 4, while Banker opens with 10+A (1) and draws sixth-card 2 (2) for 3 (6-card P outcome).

RES070 Player Path
P:3->4
RES070 Banker Path
B:1->3
RES070 Deal Length
6 Cards
RES070 Showdown
P (4v3)
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 RES070 (P3+1->4 vs B1->3).

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

RES070 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES070 Fifth-Card Modulo Proof
(3 + 1) mod 10 = 4 via A

Player draws fifth-card A (value 1), transforming two-card 3 into three-card 4.

RES070 Banker Tableau Lookup
BANKER_TABLEAU[1][1] = true

Banker 1 draws sixth-card 2 (2) so (1+2) mod 10 = 3.

RES070 Card Count & Winner
6 Cards -> P (4 vs 3)

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

RES070 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 · RES070

Step-by-Step Card Arithmetic for RES070: P(9+4)+A vs B(10+A)

Step-by-step proof [RES070] pairs Player 9+4 (3) with Banker 10+A (1); because 3 sits in the 0..5 draw zone, fifth-card A (1) lands and 3+1=4 resolves the unit-digit sum to 4.

[RES070-B] Six-card branch [RES070] activates as A (1) hits Banker 1's 1-point automatic draw row; drawing 2 (2) sends 1+2=3 to 3.

Complete 6-Card Resolution Trace for RES070
RES070 StageRES070 CardsRES070 Modulo MathRES070 Status
[RES070:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES070:5th]Player +A (1)(3+1) mod 10 = 45th Card Sideways
[RES070:6th]Banker +2 (2)(1+2) mod 10 = 36-Card Final
[RES070:Settle]P=4 vs B=3Winner: PBig Road +P
  • [RES070-1] Confirm [RES070] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES070-2] Add [RES070] fifth-card A (1) to P=3 for (3+1) mod 10 = 4.
  • [RES070-3] Run [RES070] BANKER_TABLEAU[1][1]=true to settle 4 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES070

Showdown Settlement & Scoreboard Logging for RES070 (4 vs 3)

[RES070-C5] Comparing [RES070] final totals (6c), Player 4 vs Banker 3 awards [RES070] to Player (P), which pays 1:1 even money on [RES070] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES070-D1] Side-bet & road check for [RES070] (P3+1->4 vs B1->3, 6c): [RES070] leaves [RES070] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES070] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES070] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES070, Banker 1 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[1][1] = true.
MythBecause RES070 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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