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FINAL TOTAL RESOLUTION [RES092] · 6-CARD PROOF

Player 1 + 5 (5) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #92

In walkthrough RES092, Player opens with 7+4 (1) and draws fifth-card 5 (5) for a modulo-10 total of 6, while Banker opens with 10+A (1) and draws sixth-card 10 (0) for 1 (6-card P outcome).

RES092 Player Path
P:1->6
RES092 Banker Path
B:1->1
RES092 Deal Length
6 Cards
RES092 Showdown
P (6v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES092 (P1+5->6 vs B1->1).

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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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

RES092 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+A=1

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,A])=1.

RES092 Fifth-Card Modulo Proof
(1 + 5) mod 10 = 6 via 5

Player draws fifth-card 5 (value 5), transforming two-card 1 into three-card 6.

RES092 Banker Tableau Lookup
BANKER_TABLEAU[1][5] = true

Banker 1 draws sixth-card 10 (0) so (1+0) mod 10 = 1.

RES092 Card Count & Winner
6 Cards -> P (6 vs 1)

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

RES092 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 · RES092

Step-by-Step Card Arithmetic for RES092: P(7+4)+5 vs B(10+A)

Arithmetic trace [RES092] starts from four-card deal 7+4=1 vs 10+A=1; Player's compulsory draw of 5 (pip value 5) produces raw 6, which wraps modulo-10 to 6.

[RES092-B] Under 1-point automatic draw row for [RES092], exposed 5 (5) obligates Banker 1 to draw 10 (0), converting 1+0=1 into 1.

Complete 6-Card Resolution Trace for RES092
RES092 StageRES092 CardsRES092 Modulo MathRES092 Status
[RES092:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES092:5th]Player +5 (5)(1+5) mod 10 = 65th Card Sideways
[RES092:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES092:Settle]P=6 vs B=1Winner: PBig Road +P
  • [RES092-1] Confirm [RES092] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES092-2] Add [RES092] fifth-card 5 (5) to P=1 for (1+5) mod 10 = 6.
  • [RES092-3] Run [RES092] BANKER_TABLEAU[1][5]=true to settle 6 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES092

Showdown Settlement & Scoreboard Logging for RES092 (6 vs 1)

[RES092-C5] Comparing [RES092] final totals (6c), Player 6 vs Banker 1 awards [RES092] to Player (P), which pays 1:1 even money on [RES092] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES092-D4] Side-bet & road check for [RES092] (P1+5->6 vs B1->1, 6c): [RES092] leaves [RES092] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES092] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES092] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES092, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[1][5] = true.
MythBecause RES092 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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