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FINAL TOTAL RESOLUTION [RES389] · 5-CARD PROOF

Player 4 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #389

In walkthrough RES389, Player opens with 2+2 (4) and draws fifth-card 4 (4) for a modulo-10 total of 8, while Banker opens with 3+3 (6) and stands pat at 6 (5-card P outcome).

RES389 Player Path
P:4->8
RES389 Banker Path
B:6->6
RES389 Deal Length
5 Cards
RES389 Showdown
P (8v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 5-card resolution RES389 (P4+4->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

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

RES389 Four-Card Opening Deal
Player 2+2=4 vs Banker 3+3=6

Verified non-natural start via handTotal([2,2])=4 and handTotal([3,3])=6.

RES389 Fifth-Card Modulo Proof
(4 + 4) mod 10 = 8 via 4

Player draws fifth-card 4 (value 4), transforming two-card 4 into three-card 8.

RES389 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

Banker 6 stands pat at 6 without pulling sixth-card 8 (8).

RES389 Card Count & Winner
5 Cards -> P (8 vs 6)

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

RES389 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 · RES389

Step-by-Step Card Arithmetic for RES389: P(2+2)+4 vs B(3+3)

Shoe deal [RES389] places 2+2 (4) on Player and 3+3 (6) on Banker; because 4 is below 6, Player draws 4 (4) and 8 truncates the decimal tens place to 8.

[RES389-B] Inspecting 4=4 via 6-point two-value trigger (6..7) in [RES389], Banker 6 stands at 6; 8 (8) stays in the shoe instead of 4.

Complete 5-Card Resolution Trace for RES389
RES389 StageRES389 CardsRES389 Modulo MathRES389 Status
[RES389:Init]P(2+2)=4 vs B(3+3)=6playerShouldDraw(4)=true4-Card Deal
[RES389:5th]Player +4 (4)(4+4) mod 10 = 85th Card Sideways
[RES389:6th]Banker Stands (skip 8=8)Locked at 65-Card Final
[RES389:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES389-1] Confirm [RES389] opening P=4 (2+2) and B=6 (3+3) lack Natural 8/9.
  • [RES389-2] Add [RES389] fifth-card 4 (4) to P=4 for (4+4) mod 10 = 8.
  • [RES389-3] Run [RES389] BANKER_TABLEAU[6][4]=false to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES389

Showdown Settlement & Scoreboard Logging for RES389 (8 vs 6)

[RES389-C5] Comparing [RES389] final totals (5c), Player 8 vs Banker 6 awards [RES389] to Player (P), which pays 1:1 even money on [RES389] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES389-D12] Side-bet & road check for [RES389] (P4+4->8 vs B6->6, 5c): [RES389] leaves [RES389] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and triggers [RES389] Panda 8 (winning 3-card Player 8, 25:1); on [RES389] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES389, Banker 6 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES389 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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