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FINAL TOTAL RESOLUTION [RES239] · 6-CARD PROOF

Player 4 + 9 (9) vs. Banker 3 (Draws 10 (0)): 6-Card Resolution #239

In walkthrough RES239, Player opens with 2+2 (4) and draws fifth-card 9 (9) for a modulo-10 total of 3, while Banker opens with 9+4 (3) and draws sixth-card 10 (0) for 3 (6-card T outcome).

RES239 Player Path
P:4->3
RES239 Banker Path
B:3->3
RES239 Deal Length
6 Cards
RES239 Showdown
T (3v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B B P B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES239 (P4+9->3 vs B3->3).

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

RES239 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

Verified non-natural start via handTotal([2,2])=4 and handTotal([9,4])=3.

RES239 Fifth-Card Modulo Proof
(4 + 9) mod 10 = 3 via 9

Player draws fifth-card 9 (value 9), transforming two-card 4 into three-card 3.

RES239 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

Banker 3 draws sixth-card 10 (0) so (3+0) mod 10 = 3.

RES239 Card Count & Winner
6 Cards -> T (3 vs 3)

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

RES239 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES239

Step-by-Step Card Arithmetic for RES239: P(2+2)+9 vs B(9+4)

[RES239] Walkthrough #239 begins with Player holding 2+2 (4) against Banker 9+4 (3); since neither side holds 8 or 9, Player draws fifth-card 9 (9) so 4+9=13 applies base-10 modular addition to 3.

[RES239-B] Six-card branch [RES239] activates as 9 (9) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 10 (0) sends 3+0=3 to 3.

Complete 6-Card Resolution Trace for RES239
RES239 StageRES239 CardsRES239 Modulo MathRES239 Status
[RES239:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES239:5th]Player +9 (9)(4+9) mod 10 = 35th Card Sideways
[RES239:6th]Banker +10 (0)(3+0) mod 10 = 36-Card Final
[RES239:Settle]P=3 vs B=3Winner: TBig Road +T
  • [RES239-1] Confirm [RES239] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES239-2] Add [RES239] fifth-card 9 (9) to P=4 for (4+9) mod 10 = 3.
  • [RES239-3] Run [RES239] BANKER_TABLEAU[3][9]=true to settle 3 vs 3 (T).
SETTLEMENT & SCOREBOARD · RES239

Showdown Settlement & Scoreboard Logging for RES239 (3 vs 3)

[RES239-C3] Comparing [RES239] final totals (6c), Player 3 vs Banker 3 awards [RES239] to Tie (T), which pushes main [RES239] Player/Banker wagers while settling [RES239] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBBPB.

[RES239-D1] Side-bet & road check for [RES239] (P4+9->3 vs B3->3, 6c): [RES239] leaves [RES239] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES239] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES239] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES239, Banker 3 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES239 resolves as T, the next derived-road mark must match T'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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