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FINAL TOTAL RESOLUTION [RES176] · 6-CARD PROOF

Player 1 + 9 (9) vs. Banker 2 (Draws 7 (7)): 6-Card Resolution #176

In walkthrough RES176, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with 8+4 (2) and draws sixth-card 7 (7) for 9 (6-card B outcome).

RES176 Player Path
P:1->0
RES176 Banker Path
B:2->9
RES176 Deal Length
6 Cards
RES176 Showdown
B (0v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES176 (P1+9->0 vs B2->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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES176 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES176 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES176 Banker Tableau Lookup
BANKER_TABLEAU[2][9] = true

Banker 2 draws sixth-card 7 (7) so (2+7) mod 10 = 9.

RES176 Card Count & Winner
6 Cards -> B (0 vs 9)

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

RES176 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 · RES176

Step-by-Step Card Arithmetic for RES176: P(7+4)+9 vs B(8+4)

Arithmetic trace [RES176] starts from four-card deal 7+4=1 vs 8+4=2; Player's compulsory draw of 9 (pip value 9) produces raw 10, which wraps modulo-10 to 0.

[RES176-B] Triggered by 9 (9) in [RES176] (2-point mandatory draw band), Banker 2 receives 7 (7) and computes (2+7) mod 10 = 9.

Complete 6-Card Resolution Trace for RES176
RES176 StageRES176 CardsRES176 Modulo MathRES176 Status
[RES176:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES176:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES176:6th]Banker +7 (7)(2+7) mod 10 = 96-Card Final
[RES176:Settle]P=0 vs B=9Winner: BBig Road +B
  • [RES176-1] Confirm [RES176] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES176-2] Add [RES176] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES176-3] Run [RES176] BANKER_TABLEAU[2][9]=true to settle 0 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES176

Showdown Settlement & Scoreboard Logging for RES176 (0 vs 9)

[RES176-C7] Comparing [RES176] final totals (6c), Player 0 vs Banker 9 awards [RES176] to Banker (B), which pays 0.95:1 on 5%-commission [RES176] layouts (or 0.5:1 on 6 at No-Commission [RES176] tables) and appends B to PPBBPBPPBP.

[RES176-D6] Side-bet & road check for [RES176] (P1+9->0 vs B2->9, 6c): [RES176] leaves [RES176] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES176] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES176] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES176, Banker 2 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[2][9] = true.
MythBecause RES176 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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