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FINAL TOTAL RESOLUTION [RES338] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 5 (Draws 3 (3)): 6-Card Resolution #338

In walkthrough RES338, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with 2+3 (5) and draws sixth-card 3 (3) for 8 (6-card B outcome).

RES338 Player Path
P:1->7
RES338 Banker Path
B:5->8
RES338 Deal Length
6 Cards
RES338 Showdown
B (7v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES338 (P1+6->7 vs B5->8).

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES338 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES338 Fifth-Card Modulo Proof
(1 + 6) mod 10 = 7 via 6

Player draws fifth-card 6 (value 6), transforming two-card 1 into three-card 7.

RES338 Banker Tableau Lookup
BANKER_TABLEAU[5][6] = true

Banker 5 draws sixth-card 3 (3) so (5+3) mod 10 = 8.

RES338 Card Count & Winner
6 Cards -> B (7 vs 8)

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

RES338 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 · RES338

Step-by-Step Card Arithmetic for RES338: P(7+4)+6 vs B(2+3)

Engine check [RES338] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker 2+3 (5); adding fifth-card 6 (6) gives 7, which evaluates modulo ten to 7.

[RES338-B] Acting on 6=6 inside [RES338], Banker 5 follows 5-point four-value window (4..7) and pulls 3 (3) for 5+3=8 -> 8.

Complete 6-Card Resolution Trace for RES338
RES338 StageRES338 CardsRES338 Modulo MathRES338 Status
[RES338:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES338:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES338:6th]Banker +3 (3)(5+3) mod 10 = 86-Card Final
[RES338:Settle]P=7 vs B=8Winner: BBig Road +B
  • [RES338-1] Confirm [RES338] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES338-2] Add [RES338] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES338-3] Run [RES338] BANKER_TABLEAU[5][6]=true to settle 7 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES338

Showdown Settlement & Scoreboard Logging for RES338 (7 vs 8)

[RES338-C3] Comparing [RES338] final totals (6c), Player 7 vs Banker 8 awards [RES338] to Banker (B), which pays 0.95:1 on 5%-commission [RES338] layouts (or 0.5:1 on 6 at No-Commission [RES338] tables) and appends B to PPBBPBPPBB.

[RES338-D8] Side-bet & road check for [RES338] (P1+6->7 vs B5->8, 6c): [RES338] leaves [RES338] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES338] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES338] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES338, Banker 5 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[5][6] = true.
MythBecause RES338 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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