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FINAL TOTAL RESOLUTION [RES384] · 5-CARD PROOF

Player 5 + 3 (3) vs. Banker 6 (Stands at 6): 5-Card Resolution #384

In walkthrough RES384, Player opens with A+4 (5) and draws fifth-card 3 (3) for a modulo-10 total of 8, while Banker opens with 2+4 (6) and stands pat at 6 (5-card P outcome).

RES384 Player Path
P:5->8
RES384 Banker Path
B:6->6
RES384 Deal Length
5 Cards
RES384 Showdown
P (8v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 5-card resolution RES384 (P5+3->8 vs B6->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

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

RES384 Four-Card Opening Deal
Player A+4=5 vs Banker 2+4=6

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,4])=6.

RES384 Fifth-Card Modulo Proof
(5 + 3) mod 10 = 8 via 3

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

RES384 Banker Tableau Lookup
BANKER_TABLEAU[6][3] = false

Banker 6 stands pat at 6 without pulling sixth-card 3 (3).

RES384 Card Count & Winner
5 Cards -> P (8 vs 6)

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

RES384 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES384

Step-by-Step Card Arithmetic for RES384: P(A+4)+3 vs B(2+4)

Canonical test [RES384] examines Player 5 (A+4) against Banker 6 (2+4); the fifth card 3 (3) brings Player's raw count to 8, which computes the single-digit remainder to 8.

[RES384-B] Guided by 6-point two-value trigger (6..7) against 3 (3) in [RES384], Banker 6 stands on 6 so the coup finishes in 5c without 3 (3).

Complete 5-Card Resolution Trace for RES384
RES384 StageRES384 CardsRES384 Modulo MathRES384 Status
[RES384:Init]P(A+4)=5 vs B(2+4)=6playerShouldDraw(5)=true4-Card Deal
[RES384:5th]Player +3 (3)(5+3) mod 10 = 85th Card Sideways
[RES384:6th]Banker Stands (skip 3=3)Locked at 65-Card Final
[RES384:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES384-1] Confirm [RES384] opening P=5 (A+4) and B=6 (2+4) lack Natural 8/9.
  • [RES384-2] Add [RES384] fifth-card 3 (3) to P=5 for (5+3) mod 10 = 8.
  • [RES384-3] Run [RES384] BANKER_TABLEAU[6][3]=false to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES384

Showdown Settlement & Scoreboard Logging for RES384 (8 vs 6)

[RES384-C2] Comparing [RES384] final totals (5c), Player 8 vs Banker 6 awards [RES384] to Player (P), which pays 1:1 even money on [RES384] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES384-D6] Side-bet & road check for [RES384] (P5+3->8 vs B6->6, 5c): [RES384] leaves [RES384] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and triggers [RES384] Panda 8 (winning 3-card Player 8, 25:1); on [RES384] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES384, Banker 6 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[6][3] = false.
MythBecause RES384 resolves as P, the next derived-road mark must match P'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
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