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FINAL TOTAL RESOLUTION [RES266] · 6-CARD PROOF

Player 1 + 4 (4) vs. Banker 4 (Draws 4 (4)): 6-Card Resolution #266

In walkthrough RES266, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with A+3 (4) and draws sixth-card 4 (4) for 8 (6-card B outcome).

RES266 Player Path
P:1->5
RES266 Banker Path
B:4->8
RES266 Deal Length
6 Cards
RES266 Showdown
B (5v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES266 (P1+4->5 vs B4->8).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES266 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES266 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES266 Banker Tableau Lookup
BANKER_TABLEAU[4][4] = true

Banker 4 draws sixth-card 4 (4) so (4+4) mod 10 = 8.

RES266 Card Count & Winner
6 Cards -> B (5 vs 8)

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

RES266 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 · RES266

Step-by-Step Card Arithmetic for RES266: P(7+4)+4 vs B(A+3)

Step-by-step proof [RES266] pairs Player 7+4 (1) with Banker A+3 (4); because 1 sits in the 0..5 draw zone, fifth-card 4 (4) lands and 1+4=5 resolves the unit-digit sum to 5.

[RES266-B] Six-card branch [RES266] activates as 4 (4) hits Banker 4's 4-point six-value gate (2..7); drawing 4 (4) sends 4+4=8 to 8.

Complete 6-Card Resolution Trace for RES266
RES266 StageRES266 CardsRES266 Modulo MathRES266 Status
[RES266:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES266:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES266:6th]Banker +4 (4)(4+4) mod 10 = 86-Card Final
[RES266:Settle]P=5 vs B=8Winner: BBig Road +B
  • [RES266-1] Confirm [RES266] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES266-2] Add [RES266] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES266-3] Run [RES266] BANKER_TABLEAU[4][4]=true to settle 5 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES266

Showdown Settlement & Scoreboard Logging for RES266 (5 vs 8)

[RES266-C6] Comparing [RES266] final totals (6c), Player 5 vs Banker 8 awards [RES266] to Banker (B), which pays 0.95:1 on 5%-commission [RES266] layouts (or 0.5:1 on 6 at No-Commission [RES266] tables) and appends B to PPBBBPPPPB.

[RES266-D10] Side-bet & road check for [RES266] (P1+4->5 vs B4->8, 6c): [RES266] leaves [RES266] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES266] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES266] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES266, Banker 4 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[4][4] = true.
MythBecause RES266 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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