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FINAL TOTAL RESOLUTION [RES281] · 6-CARD PROOF

Player 4 + 6 (6) vs. Banker 4 (Draws 4 (4)): 6-Card Resolution #281

In walkthrough RES281, Player opens with 2+2 (4) and draws fifth-card 6 (6) for a modulo-10 total of 0, while Banker opens with 2+2 (4) and draws sixth-card 4 (4) for 8 (6-card B outcome).

RES281 Player Path
P:4->0
RES281 Banker Path
B:4->8
RES281 Deal Length
6 Cards
RES281 Showdown
B (0v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES281 (P4+6->0 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

RES281 Four-Card Opening Deal
Player 2+2=4 vs Banker 2+2=4

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

RES281 Fifth-Card Modulo Proof
(4 + 6) mod 10 = 0 via 6

Player draws fifth-card 6 (value 6), transforming two-card 4 into three-card 0.

RES281 Banker Tableau Lookup
BANKER_TABLEAU[4][6] = true

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

RES281 Card Count & Winner
6 Cards -> B (0 vs 8)

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

RES281 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 · RES281

Step-by-Step Card Arithmetic for RES281: P(2+2)+6 vs B(2+2)

[RES281] Walkthrough #281 begins with Player holding 2+2 (4) against Banker 2+2 (4); since neither side holds 8 or 9, Player draws fifth-card 6 (6) so 4+6=10 applies base-10 modular addition to 0.

[RES281-B] Next in [RES281], Banker consults 4-point six-value gate (2..7): facing fifth-card 6 (6), Banker 4 draws 4 (4) so 4+4=8 -> 8.

Complete 6-Card Resolution Trace for RES281
RES281 StageRES281 CardsRES281 Modulo MathRES281 Status
[RES281:Init]P(2+2)=4 vs B(2+2)=4playerShouldDraw(4)=true4-Card Deal
[RES281:5th]Player +6 (6)(4+6) mod 10 = 05th Card Sideways
[RES281:6th]Banker +4 (4)(4+4) mod 10 = 86-Card Final
[RES281:Settle]P=0 vs B=8Winner: BBig Road +B
  • [RES281-1] Confirm [RES281] opening P=4 (2+2) and B=4 (2+2) lack Natural 8/9.
  • [RES281-2] Add [RES281] fifth-card 6 (6) to P=4 for (4+6) mod 10 = 0.
  • [RES281-3] Run [RES281] BANKER_TABLEAU[4][6]=true to settle 0 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES281

Showdown Settlement & Scoreboard Logging for RES281 (0 vs 8)

[RES281-C4] Comparing [RES281] final totals (6c), Player 0 vs Banker 8 awards [RES281] to Banker (B), which pays 0.95:1 on 5%-commission [RES281] layouts (or 0.5:1 on 6 at No-Commission [RES281] tables) and appends B to BBPPPBBBBP.

[RES281-D2] Side-bet & road check for [RES281] (P4+6->0 vs B4->8, 6c): [RES281] leaves [RES281] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES281] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES281] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES281, Banker 4 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[4][6] = true.
MythBecause RES281 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
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