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FINAL TOTAL RESOLUTION [RES154] · 6-CARD PROOF

Player 3 + 5 (5) vs. Banker 2 (Draws 9 (9)): 6-Card Resolution #154

In walkthrough RES154, Player opens with 9+4 (3) and draws fifth-card 5 (5) for a modulo-10 total of 8, while Banker opens with 8+4 (2) and draws sixth-card 9 (9) for 1 (6-card P outcome).

RES154 Player Path
P:3->8
RES154 Banker Path
B:2->1
RES154 Deal Length
6 Cards
RES154 Showdown
P (8v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES154 (P3+5->8 vs B2->1).

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

RES154 Four-Card Opening Deal
Player 9+4=3 vs Banker 8+4=2

Verified non-natural start via handTotal([9,4])=3 and handTotal([8,4])=2.

RES154 Fifth-Card Modulo Proof
(3 + 5) mod 10 = 8 via 5

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

RES154 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card 9 (9) so (2+9) mod 10 = 1.

RES154 Card Count & Winner
6 Cards -> P (8 vs 1)

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

RES154 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 · RES154

Step-by-Step Card Arithmetic for RES154: P(9+4)+5 vs B(8+4)

Step-by-step proof [RES154] pairs Player 9+4 (3) with Banker 8+4 (2); because 3 sits in the 0..5 draw zone, fifth-card 5 (5) lands and 3+5=8 resolves the unit-digit sum to 8.

[RES154-B] Because BANKER_TABLEAU[2][5]=true (2-point mandatory draw band) in [RES154], Banker 2 takes sixth-card 9 (9) and 2+9=11 settles at 1.

Complete 6-Card Resolution Trace for RES154
RES154 StageRES154 CardsRES154 Modulo MathRES154 Status
[RES154:Init]P(9+4)=3 vs B(8+4)=2playerShouldDraw(3)=true4-Card Deal
[RES154:5th]Player +5 (5)(3+5) mod 10 = 85th Card Sideways
[RES154:6th]Banker +9 (9)(2+9) mod 10 = 16-Card Final
[RES154:Settle]P=8 vs B=1Winner: PBig Road +P
  • [RES154-1] Confirm [RES154] opening P=3 (9+4) and B=2 (8+4) lack Natural 8/9.
  • [RES154-2] Add [RES154] fifth-card 5 (5) to P=3 for (3+5) mod 10 = 8.
  • [RES154-3] Run [RES154] BANKER_TABLEAU[2][5]=true to settle 8 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES154

Showdown Settlement & Scoreboard Logging for RES154 (8 vs 1)

[RES154-C7] Comparing [RES154] final totals (6c), Player 8 vs Banker 1 awards [RES154] to Player (P), which pays 1:1 even money on [RES154] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES154-D3] Side-bet & road check for [RES154] (P3+5->8 vs B2->1, 6c): [RES154] leaves [RES154] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and triggers [RES154] Panda 8 (winning 3-card Player 8, 25:1); on [RES154] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES154, Banker 2 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES154 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

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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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