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FINAL TOTAL RESOLUTION [RES394] · 5-CARD PROOF

Player 3 + 5 (5) vs. Banker 6 (Stands at 6): 5-Card Resolution #394

In walkthrough RES394, Player opens with 9+4 (3) and draws fifth-card 5 (5) for a modulo-10 total of 8, while Banker opens with 2+4 (6) and stands pat at 6 (5-card P outcome).

RES394 Player Path
P:3->8
RES394 Banker Path
B:6->6
RES394 Deal Length
5 Cards
RES394 Showdown
P (8v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES394 (P3+5->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES394 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES394 Fifth-Card Modulo Proof
(3 + 5) mod 10 = 8 via 5

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

RES394 Banker Tableau Lookup
BANKER_TABLEAU[6][5] = false

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

RES394 Card Count & Winner
5 Cards -> P (8 vs 6)

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

RES394 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 · RES394

Step-by-Step Card Arithmetic for RES394: P(9+4)+5 vs B(2+4)

Engine check [RES394] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 2+4 (6); adding fifth-card 5 (5) gives 8, which evaluates modulo ten to 8.

[RES394-B] Evaluating bankerShouldDraw(6, 5)=false (6-point two-value trigger (6..7)) in [RES394], Banker 6 preserves 6 while 3 (3) remains undealt.

Complete 5-Card Resolution Trace for RES394
RES394 StageRES394 CardsRES394 Modulo MathRES394 Status
[RES394:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES394:5th]Player +5 (5)(3+5) mod 10 = 85th Card Sideways
[RES394:6th]Banker Stands (skip 3=3)Locked at 65-Card Final
[RES394:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES394-1] Confirm [RES394] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES394-2] Add [RES394] fifth-card 5 (5) to P=3 for (3+5) mod 10 = 8.
  • [RES394-3] Run [RES394] BANKER_TABLEAU[6][5]=false to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES394

Showdown Settlement & Scoreboard Logging for RES394 (8 vs 6)

[RES394-C8] Comparing [RES394] final totals (5c), Player 8 vs Banker 6 awards [RES394] to Player (P), which pays 1:1 even money on [RES394] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES394-D5] Side-bet & road check for [RES394] (P3+5->8 vs B6->6, 5c): [RES394] leaves [RES394] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and triggers [RES394] Panda 8 (winning 3-card Player 8, 25:1); on [RES394] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES394, Banker 6 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[6][5] = false.
MythBecause RES394 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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