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FINAL TOTAL RESOLUTION [RES132] · 6-CARD PROOF

Player 5 + A (1) vs. Banker 2 (Draws A (1)): 6-Card Resolution #132

In walkthrough RES132, Player opens with A+4 (5) and draws fifth-card A (1) 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).

RES132 Player Path
P:5->6
RES132 Banker Path
B:2->3
RES132 Deal Length
6 Cards
RES132 Showdown
P (6v3)
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 RES132 (P5+1->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

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

RES132 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES132 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

Player draws fifth-card A (value 1), transforming two-card 5 into three-card 6.

RES132 Banker Tableau Lookup
BANKER_TABLEAU[2][1] = true

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

RES132 Card Count & Winner
6 Cards -> P (6 vs 3)

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

RES132 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 · RES132

Step-by-Step Card Arithmetic for RES132: P(A+4)+A vs B(8+4)

Canonical test [RES132] examines Player 5 (A+4) against Banker 2 (8+4); the fifth card A (1) brings Player's raw count to 6, which computes the single-digit remainder to 6.

[RES132-B] Under 2-point mandatory draw band for [RES132], exposed A (1) obligates Banker 2 to draw A (1), converting 2+1=3 into 3.

Complete 6-Card Resolution Trace for RES132
RES132 StageRES132 CardsRES132 Modulo MathRES132 Status
[RES132:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES132:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES132:6th]Banker +A (1)(2+1) mod 10 = 36-Card Final
[RES132:Settle]P=6 vs B=3Winner: PBig Road +P
  • [RES132-1] Confirm [RES132] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES132-2] Add [RES132] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES132-3] Run [RES132] BANKER_TABLEAU[2][1]=true to settle 6 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES132

Showdown Settlement & Scoreboard Logging for RES132 (6 vs 3)

[RES132-C7] Comparing [RES132] final totals (6c), Player 6 vs Banker 3 awards [RES132] to Player (P), which pays 1:1 even money on [RES132] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES132-D0] Side-bet & road check for [RES132] (P5+1->6 vs B2->3, 6c): [RES132] leaves [RES132] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES132] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES132] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES132, Banker 2 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[2][1] = true.
MythBecause RES132 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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