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FINAL TOTAL RESOLUTION [RES118] · 6-CARD PROOF

Player 3 + 9 (9) vs. Banker 1 (Draws 4 (4)): 6-Card Resolution #118

In walkthrough RES118, Player opens with 9+4 (3) and draws fifth-card 9 (9) for a modulo-10 total of 2, while Banker opens with 10+A (1) and draws sixth-card 4 (4) for 5 (6-card B outcome).

RES118 Player Path
P:3->2
RES118 Banker Path
B:1->5
RES118 Deal Length
6 Cards
RES118 Showdown
B (2v5)
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 RES118 (P3+9->2 vs B1->5).

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

RES118 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.

RES118 Fifth-Card Modulo Proof
(3 + 9) mod 10 = 2 via 9

Player draws fifth-card 9 (value 9), transforming two-card 3 into three-card 2.

RES118 Banker Tableau Lookup
BANKER_TABLEAU[1][9] = true

Banker 1 draws sixth-card 4 (4) so (1+4) mod 10 = 5.

RES118 Card Count & Winner
6 Cards -> B (2 vs 5)

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

RES118 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 · RES118

Step-by-Step Card Arithmetic for RES118: P(9+4)+9 vs B(10+A)

Canonical test [RES118] examines Player 3 (9+4) against Banker 1 (10+A); the fifth card 9 (9) brings Player's raw count to 12, which computes the single-digit remainder to 2.

[RES118-B] Under 1-point automatic draw row for [RES118], exposed 9 (9) obligates Banker 1 to draw 4 (4), converting 1+4=5 into 5.

Complete 6-Card Resolution Trace for RES118
RES118 StageRES118 CardsRES118 Modulo MathRES118 Status
[RES118:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES118:5th]Player +9 (9)(3+9) mod 10 = 25th Card Sideways
[RES118:6th]Banker +4 (4)(1+4) mod 10 = 56-Card Final
[RES118:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES118-1] Confirm [RES118] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES118-2] Add [RES118] fifth-card 9 (9) to P=3 for (3+9) mod 10 = 2.
  • [RES118-3] Run [RES118] BANKER_TABLEAU[1][9]=true to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES118

Showdown Settlement & Scoreboard Logging for RES118 (2 vs 5)

[RES118-C3] Comparing [RES118] final totals (6c), Player 2 vs Banker 5 awards [RES118] to Banker (B), which pays 0.95:1 on 5%-commission [RES118] layouts (or 0.5:1 on 6 at No-Commission [RES118] tables) and appends B to PPBBPPBPBP.

[RES118-D4] Side-bet & road check for [RES118] (P3+9->2 vs B1->5, 6c): [RES118] leaves [RES118] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES118] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES118] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES118, Banker 1 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[1][9] = true.
MythBecause RES118 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

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
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