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FINAL TOTAL RESOLUTION [RES339] · 6-CARD PROOF

Player 2 + 6 (6) vs. Banker 5 (Draws 7 (7)): 6-Card Resolution #339

In walkthrough RES339, Player opens with 10+2 (2) and draws fifth-card 6 (6) for a modulo-10 total of 8, while Banker opens with A+4 (5) and draws sixth-card 7 (7) for 2 (6-card P outcome).

RES339 Player Path
P:2->8
RES339 Banker Path
B:5->2
RES339 Deal Length
6 Cards
RES339 Showdown
P (8v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES339 (P2+6->8 vs B5->2).

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

RES339 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.

RES339 Fifth-Card Modulo Proof
(2 + 6) mod 10 = 8 via 6

Player draws fifth-card 6 (value 6), transforming two-card 2 into three-card 8.

RES339 Banker Tableau Lookup
BANKER_TABLEAU[5][6] = true

Banker 5 draws sixth-card 7 (7) so (5+7) mod 10 = 2.

RES339 Card Count & Winner
6 Cards -> P (8 vs 2)

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

RES339 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 · RES339

Step-by-Step Card Arithmetic for RES339: P(10+2)+6 vs B(A+4)

During tableau case [RES339], Player holds 10+2 for 2 while Banker holds A+4 for 5; drawing fifth-card 6 (6) shifts Player from 2 to 8, which reduces mod-10 to 8.

[RES339-B] Under 5-point four-value window (4..7) for [RES339], exposed 6 (6) obligates Banker 5 to draw 7 (7), converting 5+7=12 into 2.

Complete 6-Card Resolution Trace for RES339
RES339 StageRES339 CardsRES339 Modulo MathRES339 Status
[RES339:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES339:5th]Player +6 (6)(2+6) mod 10 = 85th Card Sideways
[RES339:6th]Banker +7 (7)(5+7) mod 10 = 26-Card Final
[RES339:Settle]P=8 vs B=2Winner: PBig Road +P
  • [RES339-1] Confirm [RES339] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES339-2] Add [RES339] fifth-card 6 (6) to P=2 for (2+6) mod 10 = 8.
  • [RES339-3] Run [RES339] BANKER_TABLEAU[5][6]=true to settle 8 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES339

Showdown Settlement & Scoreboard Logging for RES339 (8 vs 2)

[RES339-C8] Comparing [RES339] final totals (6c), Player 8 vs Banker 2 awards [RES339] to Player (P), which pays 1:1 even money on [RES339] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES339-D4] Side-bet & road check for [RES339] (P2+6->8 vs B5->2, 6c): [RES339] leaves [RES339] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and triggers [RES339] Panda 8 (winning 3-card Player 8, 25:1); on [RES339] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES339, Banker 5 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[5][6] = true.
MythBecause RES339 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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