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FINAL TOTAL RESOLUTION [RES328] · 6-CARD PROOF

Player 3 + 4 (4) vs. Banker 5 (Draws 3 (3)): 6-Card Resolution #328

In walkthrough RES328, Player opens with 9+4 (3) and draws fifth-card 4 (4) for a modulo-10 total of 7, while Banker opens with 2+3 (5) and draws sixth-card 3 (3) for 8 (6-card B outcome).

RES328 Player Path
P:3->7
RES328 Banker Path
B:5->8
RES328 Deal Length
6 Cards
RES328 Showdown
B (7v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES328 (P3+4->7 vs B5->8).

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

RES328 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+3=5

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,3])=5.

RES328 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES328 Banker Tableau Lookup
BANKER_TABLEAU[5][4] = true

Banker 5 draws sixth-card 3 (3) so (5+3) mod 10 = 8.

RES328 Card Count & Winner
6 Cards -> B (7 vs 8)

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

RES328 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 · RES328

Step-by-Step Card Arithmetic for RES328: P(9+4)+4 vs B(2+3)

Canonical test [RES328] examines Player 3 (9+4) against Banker 5 (2+3); the fifth card 4 (4) brings Player's raw count to 7, which computes the single-digit remainder to 7.

[RES328-B] Evaluating bankerShouldDraw(5, 4)=true (5-point four-value window (4..7)) in [RES328], sixth-card 3 (3) advances Banker 5 via 5+3=8 to 8.

Complete 6-Card Resolution Trace for RES328
RES328 StageRES328 CardsRES328 Modulo MathRES328 Status
[RES328:Init]P(9+4)=3 vs B(2+3)=5playerShouldDraw(3)=true4-Card Deal
[RES328:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES328:6th]Banker +3 (3)(5+3) mod 10 = 86-Card Final
[RES328:Settle]P=7 vs B=8Winner: BBig Road +B
  • [RES328-1] Confirm [RES328] opening P=3 (9+4) and B=5 (2+3) lack Natural 8/9.
  • [RES328-2] Add [RES328] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES328-3] Run [RES328] BANKER_TABLEAU[5][4]=true to settle 7 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES328

Showdown Settlement & Scoreboard Logging for RES328 (7 vs 8)

[RES328-C8] Comparing [RES328] final totals (6c), Player 7 vs Banker 8 awards [RES328] to Banker (B), which pays 0.95:1 on 5%-commission [RES328] layouts (or 0.5:1 on 6 at No-Commission [RES328] tables) and appends B to PPBBPBPBBB.

[RES328-D9] Side-bet & road check for [RES328] (P3+4->7 vs B5->8, 6c): [RES328] leaves [RES328] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES328] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES328] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES328, Banker 5 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[5][4] = true.
MythBecause RES328 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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