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FINAL TOTAL RESOLUTION [RES174] · 6-CARD PROOF

Player 5 + 8 (8) vs. Banker 2 (Draws 4 (4)): 6-Card Resolution #174

In walkthrough RES174, Player opens with A+4 (5) and draws fifth-card 8 (8) for a modulo-10 total of 3, while Banker opens with 8+4 (2) and draws sixth-card 4 (4) for 6 (6-card B outcome).

RES174 Player Path
P:5->3
RES174 Banker Path
B:2->6
RES174 Deal Length
6 Cards
RES174 Showdown
B (3v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES174 (P5+8->3 vs B2->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES174 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES174 Fifth-Card Modulo Proof
(5 + 8) mod 10 = 3 via 8

Player draws fifth-card 8 (value 8), transforming two-card 5 into three-card 3.

RES174 Banker Tableau Lookup
BANKER_TABLEAU[2][8] = true

Banker 2 draws sixth-card 4 (4) so (2+4) mod 10 = 6.

RES174 Card Count & Winner
6 Cards -> B (3 vs 6)

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

RES174 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 · RES174

Step-by-Step Card Arithmetic for RES174: P(A+4)+8 vs B(8+4)

Canonical test [RES174] examines Player 5 (A+4) against Banker 2 (8+4); the fifth card 8 (8) brings Player's raw count to 13, which computes the single-digit remainder to 3.

[RES174-B] Six-card branch [RES174] activates as 8 (8) hits Banker 2's 2-point mandatory draw band; drawing 4 (4) sends 2+4=6 to 6.

Complete 6-Card Resolution Trace for RES174
RES174 StageRES174 CardsRES174 Modulo MathRES174 Status
[RES174:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES174:5th]Player +8 (8)(5+8) mod 10 = 35th Card Sideways
[RES174:6th]Banker +4 (4)(2+4) mod 10 = 66-Card Final
[RES174:Settle]P=3 vs B=6Winner: BBig Road +B
  • [RES174-1] Confirm [RES174] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES174-2] Add [RES174] fifth-card 8 (8) to P=5 for (5+8) mod 10 = 3.
  • [RES174-3] Run [RES174] BANKER_TABLEAU[2][8]=true to settle 3 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES174

Showdown Settlement & Scoreboard Logging for RES174 (3 vs 6)

[RES174-C8] Comparing [RES174] final totals (6c), Player 3 vs Banker 6 awards [RES174] to Banker (B), which pays 0.95:1 on 5%-commission [RES174] layouts (or 0.5:1 on 6 at No-Commission [RES174] tables) and appends B to PPBBPPBBBP.

[RES174-D1] Side-bet & road check for [RES174] (P5+8->3 vs B2->6, 6c): [RES174] leaves [RES174] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES174] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES174] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES174, Banker 2 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[2][8] = true.
MythBecause RES174 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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