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FINAL TOTAL RESOLUTION [RES385] · 5-CARD PROOF

Player 0 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #385

In walkthrough RES385, Player opens with 10+K (0) and draws fifth-card 4 (4) for a modulo-10 total of 4, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES385 Player Path
P:0->4
RES385 Banker Path
B:6->6
RES385 Deal Length
5 Cards
RES385 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES385 (P0+4->4 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

RES385 Four-Card Opening Deal
Player 10+K=0 vs Banker 3+3=6

Verified non-natural start via handTotal([10,K])=0 and handTotal([3,3])=6.

RES385 Fifth-Card Modulo Proof
(0 + 4) mod 10 = 4 via 4

Player draws fifth-card 4 (value 4), transforming two-card 0 into three-card 4.

RES385 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

Banker 6 stands pat at 6 without pulling sixth-card 2 (2).

RES385 Card Count & Winner
5 Cards -> B (4 vs 6)

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

RES385 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 · RES385

Step-by-Step Card Arithmetic for RES385: P(10+K)+4 vs B(3+3)

Matrix coordinate [RES385] isolates Player two-card 0 (10+K) and Banker 6 (3+3); dealing fifth-card 4 (4) yields raw 4 that retains the rightmost digit to 4.

[RES385-B] Next in [RES385], Banker applies 6-point two-value trigger (6..7): vs 4 (4), Banker 6 stands at 6 in 5c (skipping 2=2 -> 8).

Complete 5-Card Resolution Trace for RES385
RES385 StageRES385 CardsRES385 Modulo MathRES385 Status
[RES385:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES385:5th]Player +4 (4)(0+4) mod 10 = 45th Card Sideways
[RES385:6th]Banker Stands (skip 2=2)Locked at 65-Card Final
[RES385:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES385-1] Confirm [RES385] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES385-2] Add [RES385] fifth-card 4 (4) to P=0 for (0+4) mod 10 = 4.
  • [RES385-3] Run [RES385] BANKER_TABLEAU[6][4]=false to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES385

Showdown Settlement & Scoreboard Logging for RES385 (4 vs 6)

[RES385-C7] Comparing [RES385] final totals (5c), Player 4 vs Banker 6 awards [RES385] to Banker (B), which pays 0.95:1 on 5%-commission [RES385] layouts (or 0.5:1 on 6 at No-Commission [RES385] tables) and appends B to BBPPBPBBPP.

[RES385-D2] Side-bet & road check for [RES385] (P0+4->4 vs B6->6, 5c): [RES385] leaves [RES385] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES385] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES385] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES385, Banker 6 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES385 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
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