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FINAL TOTAL RESOLUTION [RES286] · 6-CARD PROOF

Player 3 + 7 (7) vs. Banker 4 (Draws 9 (9)): 6-Card Resolution #286

In walkthrough RES286, Player opens with 9+4 (3) and draws fifth-card 7 (7) for a modulo-10 total of 0, while Banker opens with A+3 (4) and draws sixth-card 9 (9) for 3 (6-card B outcome).

RES286 Player Path
P:3->0
RES286 Banker Path
B:4->3
RES286 Deal Length
6 Cards
RES286 Showdown
B (0v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P P B B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES286 (P3+7->0 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES286 Four-Card Opening Deal
Player 9+4=3 vs Banker A+3=4

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

RES286 Fifth-Card Modulo Proof
(3 + 7) mod 10 = 0 via 7

Player draws fifth-card 7 (value 7), transforming two-card 3 into three-card 0.

RES286 Banker Tableau Lookup
BANKER_TABLEAU[4][7] = true

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

RES286 Card Count & Winner
6 Cards -> B (0 vs 3)

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

RES286 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 · RES286

Step-by-Step Card Arithmetic for RES286: P(9+4)+7 vs B(A+3)

Canonical test [RES286] examines Player 3 (9+4) against Banker 4 (A+3); the fifth card 7 (7) brings Player's raw count to 10, which computes the single-digit remainder to 0.

[RES286-B] Acting on 7=7 inside [RES286], Banker 4 follows 4-point six-value gate (2..7) and pulls 9 (9) for 4+9=13 -> 3.

Complete 6-Card Resolution Trace for RES286
RES286 StageRES286 CardsRES286 Modulo MathRES286 Status
[RES286:Init]P(9+4)=3 vs B(A+3)=4playerShouldDraw(3)=true4-Card Deal
[RES286:5th]Player +7 (7)(3+7) mod 10 = 05th Card Sideways
[RES286:6th]Banker +9 (9)(4+9) mod 10 = 36-Card Final
[RES286:Settle]P=0 vs B=3Winner: BBig Road +B
  • [RES286-1] Confirm [RES286] opening P=3 (9+4) and B=4 (A+3) lack Natural 8/9.
  • [RES286-2] Add [RES286] fifth-card 7 (7) to P=3 for (3+7) mod 10 = 0.
  • [RES286-3] Run [RES286] BANKER_TABLEAU[4][7]=true to settle 0 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES286

Showdown Settlement & Scoreboard Logging for RES286 (0 vs 3)

[RES286-C7] Comparing [RES286] final totals (6c), Player 0 vs Banker 3 awards [RES286] to Banker (B), which pays 0.95:1 on 5%-commission [RES286] layouts (or 0.5:1 on 6 at No-Commission [RES286] tables) and appends B to PPBBPPBBBP.

[RES286-D8] Side-bet & road check for [RES286] (P3+7->0 vs B4->3, 6c): [RES286] leaves [RES286] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES286] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES286] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES286, Banker 4 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[4][7] = true.
MythBecause RES286 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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