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FINAL TOTAL RESOLUTION [RES386] · 5-CARD PROOF

Player 1 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #386

In walkthrough RES386, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES386 Player Path
P:1->5
RES386 Banker Path
B:6->6
RES386 Deal Length
5 Cards
RES386 Showdown
B (5v6)
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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 5-card resolution RES386 (P1+4->5 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

RES386 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+4=6

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,4])=6.

RES386 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES386 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

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

RES386 Card Count & Winner
5 Cards -> B (5 vs 6)

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

RES386 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 · RES386

Step-by-Step Card Arithmetic for RES386: P(7+4)+4 vs B(2+4)

Arithmetic trace [RES386] starts from four-card deal 7+4=1 vs 2+4=6; Player's compulsory draw of 4 (pip value 4) produces raw 5, which wraps modulo-10 to 5.

[RES386-B] Next in [RES386], Banker applies 6-point two-value trigger (6..7): vs 4 (4), Banker 6 stands at 6 in 5c (skipping 6=6 -> 2).

Complete 5-Card Resolution Trace for RES386
RES386 StageRES386 CardsRES386 Modulo MathRES386 Status
[RES386:Init]P(7+4)=1 vs B(2+4)=6playerShouldDraw(1)=true4-Card Deal
[RES386:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES386:6th]Banker Stands (skip 6=6)Locked at 65-Card Final
[RES386:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES386-1] Confirm [RES386] opening P=1 (7+4) and B=6 (2+4) lack Natural 8/9.
  • [RES386-2] Add [RES386] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES386-3] Run [RES386] BANKER_TABLEAU[6][4]=false to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES386

Showdown Settlement & Scoreboard Logging for RES386 (5 vs 6)

[RES386-C1] Comparing [RES386] final totals (5c), Player 5 vs Banker 6 awards [RES386] to Banker (B), which pays 0.95:1 on 5%-commission [RES386] layouts (or 0.5:1 on 6 at No-Commission [RES386] tables) and appends B to PPBBPBPPBB.

[RES386-D11] Side-bet & road check for [RES386] (P1+4->5 vs B6->6, 5c): [RES386] leaves [RES386] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES386] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES386] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES386, Banker 6 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES386 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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