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FINAL TOTAL RESOLUTION [RES098] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 1 (Draws 9 (9)): 6-Card Resolution #98

In walkthrough RES098, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with 10+A (1) and draws sixth-card 9 (9) for 0 (6-card P outcome).

RES098 Player Path
P:1->7
RES098 Banker Path
B:1->0
RES098 Deal Length
6 Cards
RES098 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 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 6-card resolution RES098 (P1+6->7 vs B1->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

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

RES098 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.

RES098 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.

RES098 Banker Tableau Lookup
BANKER_TABLEAU[1][6] = true

Banker 1 draws sixth-card 9 (9) so (1+9) mod 10 = 0.

RES098 Card Count & Winner
6 Cards -> P (7 vs 0)

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

RES098 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 · RES098

Step-by-Step Card Arithmetic for RES098: P(7+4)+6 vs B(10+A)

Step-by-step proof [RES098] pairs Player 7+4 (1) with Banker 10+A (1); because 1 sits in the 0..5 draw zone, fifth-card 6 (6) lands and 1+6=7 resolves the unit-digit sum to 7.

[RES098-B] Triggered by 6 (6) in [RES098] (1-point automatic draw row), Banker 1 receives 9 (9) and computes (1+9) mod 10 = 0.

Complete 6-Card Resolution Trace for RES098
RES098 StageRES098 CardsRES098 Modulo MathRES098 Status
[RES098:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES098:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES098:6th]Banker +9 (9)(1+9) mod 10 = 06-Card Final
[RES098:Settle]P=7 vs B=0Winner: PBig Road +P
  • [RES098-1] Confirm [RES098] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES098-2] Add [RES098] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES098-3] Run [RES098] BANKER_TABLEAU[1][6]=true to settle 7 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES098

Showdown Settlement & Scoreboard Logging for RES098 (7 vs 0)

[RES098-C2] Comparing [RES098] final totals (6c), Player 7 vs Banker 0 awards [RES098] to Player (P), which pays 1:1 even money on [RES098] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES098-D6] Side-bet & road check for [RES098] (P1+6->7 vs B1->0, 6c): [RES098] leaves [RES098] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES098] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES098] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES098, Banker 1 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[1][6] = true.
MythBecause RES098 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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