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FINAL TOTAL RESOLUTION [RES240] · 6-CARD PROOF

Player 5 + 9 (9) vs. Banker 3 (Draws 4 (4)): 6-Card Resolution #240

In walkthrough RES240, Player opens with A+4 (5) and draws fifth-card 9 (9) 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).

RES240 Player Path
P:5->4
RES240 Banker Path
B:3->7
RES240 Deal Length
6 Cards
RES240 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 B P P B P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES240 (P5+9->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

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

RES240 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.

RES240 Fifth-Card Modulo Proof
(5 + 9) mod 10 = 4 via 9

Player draws fifth-card 9 (value 9), transforming two-card 5 into three-card 4.

RES240 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

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

RES240 Card Count & Winner
6 Cards -> B (4 vs 7)

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

RES240 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 · RES240

Step-by-Step Card Arithmetic for RES240: P(A+4)+9 vs B(10+3)

Engine check [RES240] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 10+3 (3); adding fifth-card 9 (9) gives 14, which evaluates modulo ten to 4.

[RES240-B] Six-card branch [RES240] activates as 9 (9) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 4 (4) sends 3+4=7 to 7.

Complete 6-Card Resolution Trace for RES240
RES240 StageRES240 CardsRES240 Modulo MathRES240 Status
[RES240:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES240:5th]Player +9 (9)(5+9) mod 10 = 45th Card Sideways
[RES240:6th]Banker +4 (4)(3+4) mod 10 = 76-Card Final
[RES240:Settle]P=4 vs B=7Winner: BBig Road +B
  • [RES240-1] Confirm [RES240] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES240-2] Add [RES240] fifth-card 9 (9) to P=5 for (5+9) mod 10 = 4.
  • [RES240-3] Run [RES240] BANKER_TABLEAU[3][9]=true to settle 4 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES240

Showdown Settlement & Scoreboard Logging for RES240 (4 vs 7)

[RES240-C8] Comparing [RES240] final totals (6c), Player 4 vs Banker 7 awards [RES240] to Banker (B), which pays 0.95:1 on 5%-commission [RES240] layouts (or 0.5:1 on 6 at No-Commission [RES240] tables) and appends B to PPBBPBPPBP.

[RES240-D10] Side-bet & road check for [RES240] (P5+9->4 vs B3->7, 6c): [RES240] triggers [RES240] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES240] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES240] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES240, Banker 3 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES240 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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