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FINAL TOTAL RESOLUTION [RES342] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 5 (Draws 9 (9)): 6-Card Resolution #342

In walkthrough RES342, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with 2+3 (5) and draws sixth-card 9 (9) for 4 (6-card B outcome).

RES342 Player Path
P:5->1
RES342 Banker Path
B:5->4
RES342 Deal Length
6 Cards
RES342 Showdown
B (1v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES342 (P5+6->1 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES342 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

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

RES342 Fifth-Card Modulo Proof
(5 + 6) mod 10 = 1 via 6

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

RES342 Banker Tableau Lookup
BANKER_TABLEAU[5][6] = true

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

RES342 Card Count & Winner
6 Cards -> B (1 vs 4)

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

RES342 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 · RES342

Step-by-Step Card Arithmetic for RES342: P(A+4)+6 vs B(2+3)

Canonical test [RES342] examines Player 5 (A+4) against Banker 5 (2+3); the fifth card 6 (6) brings Player's raw count to 11, which computes the single-digit remainder to 1.

[RES342-B] Evaluating bankerShouldDraw(5, 6)=true (5-point four-value window (4..7)) in [RES342], sixth-card 9 (9) advances Banker 5 via 5+9=14 to 4.

Complete 6-Card Resolution Trace for RES342
RES342 StageRES342 CardsRES342 Modulo MathRES342 Status
[RES342:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES342:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES342:6th]Banker +9 (9)(5+9) mod 10 = 46-Card Final
[RES342:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES342-1] Confirm [RES342] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES342-2] Add [RES342] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES342-3] Run [RES342] BANKER_TABLEAU[5][6]=true to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES342

Showdown Settlement & Scoreboard Logging for RES342 (1 vs 4)

[RES342-C1] Comparing [RES342] final totals (6c), Player 1 vs Banker 4 awards [RES342] to Banker (B), which pays 0.95:1 on 5%-commission [RES342] layouts (or 0.5:1 on 6 at No-Commission [RES342] tables) and appends B to PPBBPPBPBP.

[RES342-D5] Side-bet & road check for [RES342] (P5+6->1 vs B5->4, 6c): [RES342] leaves [RES342] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES342] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES342] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES342, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[5][6] = true.
MythBecause RES342 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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