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FINAL TOTAL RESOLUTION [RES084] · 6-CARD PROOF

Player 5 + 3 (3) vs. Banker 1 (Draws 8 (8)): 6-Card Resolution #84

In walkthrough RES084, Player opens with A+4 (5) and draws fifth-card 3 (3) for a modulo-10 total of 8, while Banker opens with 10+A (1) and draws sixth-card 8 (8) for 9 (6-card B outcome).

RES084 Player Path
P:5->8
RES084 Banker Path
B:1->9
RES084 Deal Length
6 Cards
RES084 Showdown
B (8v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES084 (P5+3->8 vs B1->9).

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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

RES084 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES084 Fifth-Card Modulo Proof
(5 + 3) mod 10 = 8 via 3

Player draws fifth-card 3 (value 3), transforming two-card 5 into three-card 8.

RES084 Banker Tableau Lookup
BANKER_TABLEAU[1][3] = true

Banker 1 draws sixth-card 8 (8) so (1+8) mod 10 = 9.

RES084 Card Count & Winner
6 Cards -> B (8 vs 9)

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

RES084 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 · RES084

Step-by-Step Card Arithmetic for RES084: P(A+4)+3 vs B(10+A)

Step-by-step proof [RES084] pairs Player A+4 (5) with Banker 10+A (1); because 5 sits in the 0..5 draw zone, fifth-card 3 (3) lands and 5+3=8 resolves the unit-digit sum to 8.

[RES084-B] Six-card branch [RES084] activates as 3 (3) hits Banker 1's 1-point automatic draw row; drawing 8 (8) sends 1+8=9 to 9.

Complete 6-Card Resolution Trace for RES084
RES084 StageRES084 CardsRES084 Modulo MathRES084 Status
[RES084:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES084:5th]Player +3 (3)(5+3) mod 10 = 85th Card Sideways
[RES084:6th]Banker +8 (8)(1+8) mod 10 = 96-Card Final
[RES084:Settle]P=8 vs B=9Winner: BBig Road +B
  • [RES084-1] Confirm [RES084] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES084-2] Add [RES084] fifth-card 3 (3) to P=5 for (5+3) mod 10 = 8.
  • [RES084-3] Run [RES084] BANKER_TABLEAU[1][3]=true to settle 8 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES084

Showdown Settlement & Scoreboard Logging for RES084 (8 vs 9)

[RES084-C9] Comparing [RES084] final totals (6c), Player 8 vs Banker 9 awards [RES084] to Banker (B), which pays 0.95:1 on 5%-commission [RES084] layouts (or 0.5:1 on 6 at No-Commission [RES084] tables) and appends B to PPBBBPPBPP.

[RES084-D10] Side-bet & road check for [RES084] (P5+3->8 vs B1->9, 6c): [RES084] leaves [RES084] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES084] Panda 8 inactive (needs winning 3c Player 8, got P=8); on [RES084] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES084, Banker 1 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[1][3] = true.
MythBecause RES084 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android