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FINAL TOTAL RESOLUTION [RES198] · 6-CARD PROOF

Player 5 + 2 (2) vs. Banker 3 (Draws A (1)): 6-Card Resolution #198

In walkthrough RES198, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 10+3 (3) and draws sixth-card A (1) for 4 (6-card P outcome).

RES198 Player Path
P:5->7
RES198 Banker Path
B:3->4
RES198 Deal Length
6 Cards
RES198 Showdown
P (7v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES198 (P5+2->7 vs B3->4).

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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES198 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES198 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES198 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

Banker 3 draws sixth-card A (1) so (3+1) mod 10 = 4.

RES198 Card Count & Winner
6 Cards -> P (7 vs 4)

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

RES198 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 · RES198

Step-by-Step Card Arithmetic for RES198: P(A+4)+2 vs B(10+3)

Engine check [RES198] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 10+3 (3); adding fifth-card 2 (2) gives 7, which evaluates modulo ten to 7.

[RES198-B] Evaluating bankerShouldDraw(3, 2)=true (3-point single-shade row (0..7, 9)) in [RES198], sixth-card A (1) advances Banker 3 via 3+1=4 to 4.

Complete 6-Card Resolution Trace for RES198
RES198 StageRES198 CardsRES198 Modulo MathRES198 Status
[RES198:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES198:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES198:6th]Banker +A (1)(3+1) mod 10 = 46-Card Final
[RES198:Settle]P=7 vs B=4Winner: PBig Road +P
  • [RES198-1] Confirm [RES198] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES198-2] Add [RES198] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES198-3] Run [RES198] BANKER_TABLEAU[3][2]=true to settle 7 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES198

Showdown Settlement & Scoreboard Logging for RES198 (7 vs 4)

[RES198-C7] Comparing [RES198] final totals (6c), Player 7 vs Banker 4 awards [RES198] to Player (P), which pays 1:1 even money on [RES198] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES198-D9] Side-bet & road check for [RES198] (P5+2->7 vs B3->4, 6c): [RES198] leaves [RES198] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES198] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES198] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES198, Banker 3 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES198 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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