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FINAL TOTAL RESOLUTION [RES142] · 6-CARD PROOF

Player 3 + 3 (3) vs. Banker 2 (Draws A (1)): 6-Card Resolution #142

In walkthrough RES142, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 8+4 (2) and draws sixth-card A (1) for 3 (6-card P outcome).

RES142 Player Path
P:3->6
RES142 Banker Path
B:2->3
RES142 Deal Length
6 Cards
RES142 Showdown
P (6v3)
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 RES142 (P3+3->6 vs B2->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

RES142 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.

RES142 Fifth-Card Modulo Proof
(3 + 3) mod 10 = 6 via 3

Player draws fifth-card 3 (value 3), transforming two-card 3 into three-card 6.

RES142 Banker Tableau Lookup
BANKER_TABLEAU[2][3] = true

Banker 2 draws sixth-card A (1) so (2+1) mod 10 = 3.

RES142 Card Count & Winner
6 Cards -> P (6 vs 3)

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

RES142 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 · RES142

Step-by-Step Card Arithmetic for RES142: P(9+4)+3 vs B(8+4)

Engine check [RES142] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 8+4 (2); adding fifth-card 3 (3) gives 6, which evaluates modulo ten to 6.

[RES142-B] Acting on 3=3 inside [RES142], Banker 2 follows 2-point mandatory draw band and pulls A (1) for 2+1=3 -> 3.

Complete 6-Card Resolution Trace for RES142
RES142 StageRES142 CardsRES142 Modulo MathRES142 Status
[RES142:Init]P(9+4)=3 vs B(8+4)=2playerShouldDraw(3)=true4-Card Deal
[RES142:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES142:6th]Banker +A (1)(2+1) mod 10 = 36-Card Final
[RES142:Settle]P=6 vs B=3Winner: PBig Road +P
  • [RES142-1] Confirm [RES142] opening P=3 (9+4) and B=2 (8+4) lack Natural 8/9.
  • [RES142-2] Add [RES142] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES142-3] Run [RES142] BANKER_TABLEAU[2][3]=true to settle 6 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES142

Showdown Settlement & Scoreboard Logging for RES142 (6 vs 3)

[RES142-C2] Comparing [RES142] final totals (6c), Player 6 vs Banker 3 awards [RES142] to Player (P), which pays 1:1 even money on [RES142] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES142-D12] Side-bet & road check for [RES142] (P3+3->6 vs B2->3, 6c): [RES142] leaves [RES142] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES142] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES142] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES142, Banker 2 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[2][3] = true.
MythBecause RES142 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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