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FINAL TOTAL RESOLUTION [RES261] · 6-CARD PROOF

Player 2 + 3 (3) vs. Banker 4 (Draws 9 (9)): 6-Card Resolution #261

In walkthrough RES261, Player opens with 10+2 (2) and draws fifth-card 3 (3) for a modulo-10 total of 5, while Banker opens with 2+2 (4) and draws sixth-card 9 (9) for 3 (6-card P outcome).

RES261 Player Path
P:2->5
RES261 Banker Path
B:4->3
RES261 Deal Length
6 Cards
RES261 Showdown
P (5v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES261 (P2+3->5 vs B4->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

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

RES261 Four-Card Opening Deal
Player 10+2=2 vs Banker 2+2=4

Verified non-natural start via handTotal([10,2])=2 and handTotal([2,2])=4.

RES261 Fifth-Card Modulo Proof
(2 + 3) mod 10 = 5 via 3

Player draws fifth-card 3 (value 3), transforming two-card 2 into three-card 5.

RES261 Banker Tableau Lookup
BANKER_TABLEAU[4][3] = true

Banker 4 draws sixth-card 9 (9) so (4+9) mod 10 = 3.

RES261 Card Count & Winner
6 Cards -> P (5 vs 3)

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

RES261 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 · RES261

Step-by-Step Card Arithmetic for RES261: P(10+2)+3 vs B(2+2)

Evaluating sequence [RES261], the shoe delivers 10+2 (2) to Player and 2+2 (4) to Banker; after natural checks clear, fifth-card 3 (3) maps the raw pip total mod 10 (2+3=5) to final Player total 5.

[RES261-B] Under 4-point six-value gate (2..7) for [RES261], exposed 3 (3) obligates Banker 4 to draw 9 (9), converting 4+9=13 into 3.

Complete 6-Card Resolution Trace for RES261
RES261 StageRES261 CardsRES261 Modulo MathRES261 Status
[RES261:Init]P(10+2)=2 vs B(2+2)=4playerShouldDraw(2)=true4-Card Deal
[RES261:5th]Player +3 (3)(2+3) mod 10 = 55th Card Sideways
[RES261:6th]Banker +9 (9)(4+9) mod 10 = 36-Card Final
[RES261:Settle]P=5 vs B=3Winner: PBig Road +P
  • [RES261-1] Confirm [RES261] opening P=2 (10+2) and B=4 (2+2) lack Natural 8/9.
  • [RES261-2] Add [RES261] fifth-card 3 (3) to P=2 for (2+3) mod 10 = 5.
  • [RES261-3] Run [RES261] BANKER_TABLEAU[4][3]=true to settle 5 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES261

Showdown Settlement & Scoreboard Logging for RES261 (5 vs 3)

[RES261-C3] Comparing [RES261] final totals (6c), Player 5 vs Banker 3 awards [RES261] to Player (P), which pays 1:1 even money on [RES261] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES261-D4] Side-bet & road check for [RES261] (P2+3->5 vs B4->3, 6c): [RES261] leaves [RES261] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES261] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES261] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES261, Banker 4 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[4][3] = true.
MythBecause RES261 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
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