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FINAL TOTAL RESOLUTION [RES327] · 6-CARD PROOF

Player 2 + 4 (4) vs. Banker 5 (Draws 9 (9)): 6-Card Resolution #327

In walkthrough RES327, Player opens with 10+2 (2) and draws fifth-card 4 (4) for a modulo-10 total of 6, while Banker opens with A+4 (5) and draws sixth-card 9 (9) for 4 (6-card P outcome).

RES327 Player Path
P:2->6
RES327 Banker Path
B:5->4
RES327 Deal Length
6 Cards
RES327 Showdown
P (6v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES327 (P2+4->6 vs B5->4).

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

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES327 Four-Card Opening Deal
Player 10+2=2 vs Banker A+4=5

Verified non-natural start via handTotal([10,2])=2 and handTotal([A,4])=5.

RES327 Fifth-Card Modulo Proof
(2 + 4) mod 10 = 6 via 4

Player draws fifth-card 4 (value 4), transforming two-card 2 into three-card 6.

RES327 Banker Tableau Lookup
BANKER_TABLEAU[5][4] = true

Banker 5 draws sixth-card 9 (9) so (5+9) mod 10 = 4.

RES327 Card Count & Winner
6 Cards -> P (6 vs 4)

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

RES327 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 · RES327

Step-by-Step Card Arithmetic for RES327: P(10+2)+4 vs B(A+4)

Under audit [RES327], Player opens on two-card 2 (10+2) opposite Banker 5 (A+4), triggering a mandatory fifth-card pull of 4 (value 4) that settles via mod-10 arithmetic from 6 into 6.

[RES327-B] Under 5-point four-value window (4..7) for [RES327], exposed 4 (4) obligates Banker 5 to draw 9 (9), converting 5+9=14 into 4.

Complete 6-Card Resolution Trace for RES327
RES327 StageRES327 CardsRES327 Modulo MathRES327 Status
[RES327:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES327:5th]Player +4 (4)(2+4) mod 10 = 65th Card Sideways
[RES327:6th]Banker +9 (9)(5+9) mod 10 = 46-Card Final
[RES327:Settle]P=6 vs B=4Winner: PBig Road +P
  • [RES327-1] Confirm [RES327] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES327-2] Add [RES327] fifth-card 4 (4) to P=2 for (2+4) mod 10 = 6.
  • [RES327-3] Run [RES327] BANKER_TABLEAU[5][4]=true to settle 6 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES327

Showdown Settlement & Scoreboard Logging for RES327 (6 vs 4)

[RES327-C3] Comparing [RES327] final totals (6c), Player 6 vs Banker 4 awards [RES327] to Player (P), which pays 1:1 even money on [RES327] Player boxes with zero commission deducted and appends P to BBPPBPBPPP.

[RES327-D0] Side-bet & road check for [RES327] (P2+4->6 vs B5->4, 6c): [RES327] leaves [RES327] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES327] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES327] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES327, Banker 5 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[5][4] = true.
MythBecause RES327 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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