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FINAL TOTAL RESOLUTION [RES398] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 6 (Draws 4 (4)): 6-Card Resolution #398

In walkthrough RES398, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with 2+4 (6) and draws sixth-card 4 (4) for 0 (6-card P outcome).

RES398 Player Path
P:1->7
RES398 Banker Path
B:6->0
RES398 Deal Length
6 Cards
RES398 Showdown
P (7v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES398 (P1+6->7 vs B6->0).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES398 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.

RES398 Fifth-Card Modulo Proof
(1 + 6) mod 10 = 7 via 6

Player draws fifth-card 6 (value 6), transforming two-card 1 into three-card 7.

RES398 Banker Tableau Lookup
BANKER_TABLEAU[6][6] = true

Banker 6 draws sixth-card 4 (4) so (6+4) mod 10 = 0.

RES398 Card Count & Winner
6 Cards -> P (7 vs 0)

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

RES398 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 · RES398

Step-by-Step Card Arithmetic for RES398: P(7+4)+6 vs B(2+4)

Canonical test [RES398] examines Player 1 (7+4) against Banker 6 (2+4); the fifth card 6 (6) brings Player's raw count to 7, which computes the single-digit remainder to 7.

[RES398-B] Next in [RES398], Banker consults 6-point two-value trigger (6..7): facing fifth-card 6 (6), Banker 6 draws 4 (4) so 6+4=10 -> 0.

Complete 6-Card Resolution Trace for RES398
RES398 StageRES398 CardsRES398 Modulo MathRES398 Status
[RES398:Init]P(7+4)=1 vs B(2+4)=6playerShouldDraw(1)=true4-Card Deal
[RES398:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES398:6th]Banker +4 (4)(6+4) mod 10 = 06-Card Final
[RES398:Settle]P=7 vs B=0Winner: PBig Road +P
  • [RES398-1] Confirm [RES398] opening P=1 (7+4) and B=6 (2+4) lack Natural 8/9.
  • [RES398-2] Add [RES398] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES398-3] Run [RES398] BANKER_TABLEAU[6][6]=true to settle 7 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES398

Showdown Settlement & Scoreboard Logging for RES398 (7 vs 0)

[RES398-C6] Comparing [RES398] final totals (6c), Player 7 vs Banker 0 awards [RES398] to Player (P), which pays 1:1 even money on [RES398] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES398-D2] Side-bet & road check for [RES398] (P1+6->7 vs B6->0, 6c): [RES398] leaves [RES398] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES398] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES398] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES398, Banker 6 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[6][6] = true.
MythBecause RES398 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

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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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