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FINAL TOTAL RESOLUTION [RES119] · 6-CARD PROOF

Player 4 + 9 (9) vs. Banker 1 (Draws 8 (8)): 6-Card Resolution #119

In walkthrough RES119, Player opens with 2+2 (4) and draws fifth-card 9 (9) for a modulo-10 total of 3, while Banker opens with 7+4 (1) and draws sixth-card 8 (8) for 9 (6-card B outcome).

RES119 Player Path
P:4->3
RES119 Banker Path
B:1->9
RES119 Deal Length
6 Cards
RES119 Showdown
B (3v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES119 (P4+9->3 vs B1->9).

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

RES119 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

Verified non-natural start via handTotal([2,2])=4 and handTotal([7,4])=1.

RES119 Fifth-Card Modulo Proof
(4 + 9) mod 10 = 3 via 9

Player draws fifth-card 9 (value 9), transforming two-card 4 into three-card 3.

RES119 Banker Tableau Lookup
BANKER_TABLEAU[1][9] = true

Banker 1 draws sixth-card 8 (8) so (1+8) mod 10 = 9.

RES119 Card Count & Winner
6 Cards -> B (3 vs 9)

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

RES119 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES119

Step-by-Step Card Arithmetic for RES119: P(2+2)+9 vs B(7+4)

Matrix coordinate [RES119] isolates Player two-card 4 (2+2) and Banker 1 (7+4); dealing fifth-card 9 (9) yields raw 13 that retains the rightmost digit to 3.

[RES119-B] Under 1-point automatic draw row for [RES119], exposed 9 (9) obligates Banker 1 to draw 8 (8), converting 1+8=9 into 9.

Complete 6-Card Resolution Trace for RES119
RES119 StageRES119 CardsRES119 Modulo MathRES119 Status
[RES119:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES119:5th]Player +9 (9)(4+9) mod 10 = 35th Card Sideways
[RES119:6th]Banker +8 (8)(1+8) mod 10 = 96-Card Final
[RES119:Settle]P=3 vs B=9Winner: BBig Road +B
  • [RES119-1] Confirm [RES119] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES119-2] Add [RES119] fifth-card 9 (9) to P=4 for (4+9) mod 10 = 3.
  • [RES119-3] Run [RES119] BANKER_TABLEAU[1][9]=true to settle 3 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES119

Showdown Settlement & Scoreboard Logging for RES119 (3 vs 9)

[RES119-C8] Comparing [RES119] final totals (6c), Player 3 vs Banker 9 awards [RES119] to Banker (B), which pays 0.95:1 on 5%-commission [RES119] layouts (or 0.5:1 on 6 at No-Commission [RES119] tables) and appends B to BBPPBPBPPP.

[RES119-D0] Side-bet & road check for [RES119] (P4+9->3 vs B1->9, 6c): [RES119] leaves [RES119] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES119] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES119] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES119, Banker 1 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[1][9] = true.
MythBecause RES119 resolves as B, the next derived-road mark must match B'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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