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FINAL TOTAL RESOLUTION [RES190] · 6-CARD PROOF

Player 3 + A (1) vs. Banker 3 (Draws 4 (4)): 6-Card Resolution #190

In walkthrough RES190, Player opens with 9+4 (3) and draws fifth-card A (1) for a modulo-10 total of 4, while Banker opens with 10+3 (3) and draws sixth-card 4 (4) for 7 (6-card B outcome).

RES190 Player Path
P:3->4
RES190 Banker Path
B:3->7
RES190 Deal Length
6 Cards
RES190 Showdown
B (4v7)
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 RES190 (P3+1->4 vs B3->7).

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

RES190 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES190 Fifth-Card Modulo Proof
(3 + 1) mod 10 = 4 via A

Player draws fifth-card A (value 1), transforming two-card 3 into three-card 4.

RES190 Banker Tableau Lookup
BANKER_TABLEAU[3][1] = true

Banker 3 draws sixth-card 4 (4) so (3+4) mod 10 = 7.

RES190 Card Count & Winner
6 Cards -> B (4 vs 7)

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

RES190 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES190

Step-by-Step Card Arithmetic for RES190: P(9+4)+A vs B(10+3)

Arithmetic trace [RES190] starts from four-card deal 9+4=3 vs 10+3=3; Player's compulsory draw of A (pip value 1) produces raw 4, which wraps modulo-10 to 4.

[RES190-B] Next in [RES190], Banker consults 3-point single-shade row (0..7, 9): facing fifth-card A (1), Banker 3 draws 4 (4) so 3+4=7 -> 7.

Complete 6-Card Resolution Trace for RES190
RES190 StageRES190 CardsRES190 Modulo MathRES190 Status
[RES190:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES190:5th]Player +A (1)(3+1) mod 10 = 45th Card Sideways
[RES190:6th]Banker +4 (4)(3+4) mod 10 = 76-Card Final
[RES190:Settle]P=4 vs B=7Winner: BBig Road +B
  • [RES190-1] Confirm [RES190] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES190-2] Add [RES190] fifth-card A (1) to P=3 for (3+1) mod 10 = 4.
  • [RES190-3] Run [RES190] BANKER_TABLEAU[3][1]=true to settle 4 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES190

Showdown Settlement & Scoreboard Logging for RES190 (4 vs 7)

[RES190-C0] Comparing [RES190] final totals (6c), Player 4 vs Banker 7 awards [RES190] to Banker (B), which pays 0.95:1 on 5%-commission [RES190] layouts (or 0.5:1 on 6 at No-Commission [RES190] tables) and appends B to PPBBPPBBBP.

[RES190-D2] Side-bet & road check for [RES190] (P3+1->4 vs B3->7, 6c): [RES190] triggers [RES190] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES190] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES190] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES190, Banker 3 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[3][1] = true.
MythBecause RES190 resolves as B, the next derived-road mark must match B'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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