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FINAL TOTAL RESOLUTION [RES337] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 5 (Draws 9 (9)): 6-Card Resolution #337

In walkthrough RES337, Player opens with 10+K (0) and draws fifth-card 6 (6) 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).

RES337 Player Path
P:0->6
RES337 Banker Path
B:5->4
RES337 Deal Length
6 Cards
RES337 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 B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES337 (P0+6->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

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

RES337 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES337 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES337 Banker Tableau Lookup
BANKER_TABLEAU[5][6] = true

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

RES337 Card Count & Winner
6 Cards -> P (6 vs 4)

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

RES337 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 · RES337

Step-by-Step Card Arithmetic for RES337: P(10+K)+6 vs B(A+4)

[RES337] Walkthrough #337 begins with Player holding 10+K (0) against Banker A+4 (5); since neither side holds 8 or 9, Player draws fifth-card 6 (6) so 0+6=6 applies base-10 modular addition to 6.

[RES337-B] Acting on 6=6 inside [RES337], Banker 5 follows 5-point four-value window (4..7) and pulls 9 (9) for 5+9=14 -> 4.

Complete 6-Card Resolution Trace for RES337
RES337 StageRES337 CardsRES337 Modulo MathRES337 Status
[RES337:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES337:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES337:6th]Banker +9 (9)(5+9) mod 10 = 46-Card Final
[RES337:Settle]P=6 vs B=4Winner: PBig Road +P
  • [RES337-1] Confirm [RES337] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES337-2] Add [RES337] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES337-3] Run [RES337] BANKER_TABLEAU[5][6]=true to settle 6 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES337

Showdown Settlement & Scoreboard Logging for RES337 (6 vs 4)

[RES337-C9] Comparing [RES337] final totals (6c), Player 6 vs Banker 4 awards [RES337] to Player (P), which pays 1:1 even money on [RES337] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES337-D12] Side-bet & road check for [RES337] (P0+6->6 vs B5->4, 6c): [RES337] leaves [RES337] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES337] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES337] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES337, Banker 5 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[5][6] = true.
MythBecause RES337 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

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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