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FINAL TOTAL RESOLUTION [RES134] · 6-CARD PROOF

Player 1 + 2 (2) vs. Banker 2 (Draws 4 (4)): 6-Card Resolution #134

In walkthrough RES134, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with 8+4 (2) and draws sixth-card 4 (4) for 6 (6-card B outcome).

RES134 Player Path
P:1->3
RES134 Banker Path
B:2->6
RES134 Deal Length
6 Cards
RES134 Showdown
B (3v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES134 (P1+2->3 vs B2->6).

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

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES134 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES134 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES134 Banker Tableau Lookup
BANKER_TABLEAU[2][2] = true

Banker 2 draws sixth-card 4 (4) so (2+4) mod 10 = 6.

RES134 Card Count & Winner
6 Cards -> B (3 vs 6)

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

RES134 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 · RES134

Step-by-Step Card Arithmetic for RES134: P(7+4)+2 vs B(8+4)

Arithmetic trace [RES134] starts from four-card deal 7+4=1 vs 8+4=2; Player's compulsory draw of 2 (pip value 2) produces raw 3, which wraps modulo-10 to 3.

[RES134-B] Evaluating bankerShouldDraw(2, 2)=true (2-point mandatory draw band) in [RES134], sixth-card 4 (4) advances Banker 2 via 2+4=6 to 6.

Complete 6-Card Resolution Trace for RES134
RES134 StageRES134 CardsRES134 Modulo MathRES134 Status
[RES134:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES134:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES134:6th]Banker +4 (4)(2+4) mod 10 = 66-Card Final
[RES134:Settle]P=3 vs B=6Winner: BBig Road +B
  • [RES134-1] Confirm [RES134] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES134-2] Add [RES134] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES134-3] Run [RES134] BANKER_TABLEAU[2][2]=true to settle 3 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES134

Showdown Settlement & Scoreboard Logging for RES134 (3 vs 6)

[RES134-C6] Comparing [RES134] final totals (6c), Player 3 vs Banker 6 awards [RES134] to Banker (B), which pays 0.95:1 on 5%-commission [RES134] layouts (or 0.5:1 on 6 at No-Commission [RES134] tables) and appends B to PPBBPPBPBP.

[RES134-D5] Side-bet & road check for [RES134] (P1+2->3 vs B2->6, 6c): [RES134] leaves [RES134] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES134] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES134] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES134, Banker 2 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[2][2] = true.
MythBecause RES134 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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