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FINAL TOTAL RESOLUTION [RES352] · 5-CARD PROOF

Player 3 + 8 (8) vs. Banker 5 (Stands at 5): 5-Card Resolution #352

In walkthrough RES352, Player opens with 9+4 (3) and draws fifth-card 8 (8) for a modulo-10 total of 1, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES352 Player Path
P:3->1
RES352 Banker Path
B:5->5
RES352 Deal Length
5 Cards
RES352 Showdown
B (1v5)
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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES352 (P3+8->1 vs B5->5).

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

RES352 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+3=5

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,3])=5.

RES352 Fifth-Card Modulo Proof
(3 + 8) mod 10 = 1 via 8

Player draws fifth-card 8 (value 8), transforming two-card 3 into three-card 1.

RES352 Banker Tableau Lookup
BANKER_TABLEAU[5][8] = false

Banker 5 stands pat at 5 without pulling sixth-card 9 (9).

RES352 Card Count & Winner
5 Cards -> B (1 vs 5)

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

RES352 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 · RES352

Step-by-Step Card Arithmetic for RES352: P(9+4)+8 vs B(2+3)

Engine check [RES352] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 2+3 (5); adding fifth-card 8 (8) gives 11, which evaluates modulo ten to 1.

[RES352-B] Under 5-point four-value window (4..7) for [RES352], 8 (8) closes action at 5c with Banker at 5 (had 9=9 landed, 5+9=14 -> 4).

Complete 5-Card Resolution Trace for RES352
RES352 StageRES352 CardsRES352 Modulo MathRES352 Status
[RES352:Init]P(9+4)=3 vs B(2+3)=5playerShouldDraw(3)=true4-Card Deal
[RES352:5th]Player +8 (8)(3+8) mod 10 = 15th Card Sideways
[RES352:6th]Banker Stands (skip 9=9)Locked at 55-Card Final
[RES352:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES352-1] Confirm [RES352] opening P=3 (9+4) and B=5 (2+3) lack Natural 8/9.
  • [RES352-2] Add [RES352] fifth-card 8 (8) to P=3 for (3+8) mod 10 = 1.
  • [RES352-3] Run [RES352] BANKER_TABLEAU[5][8]=false to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES352

Showdown Settlement & Scoreboard Logging for RES352 (1 vs 5)

[RES352-C7] Comparing [RES352] final totals (5c), Player 1 vs Banker 5 awards [RES352] to Banker (B), which pays 0.95:1 on 5%-commission [RES352] layouts (or 0.5:1 on 6 at No-Commission [RES352] tables) and appends B to PPBBPBPPBP.

[RES352-D4] Side-bet & road check for [RES352] (P3+8->1 vs B5->5, 5c): [RES352] leaves [RES352] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES352] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES352] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES352, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[5][8] = false.
MythBecause RES352 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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