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FINAL TOTAL RESOLUTION [RES358] · 5-CARD PROOF

Player 3 + 9 (9) vs. Banker 5 (Stands at 5): 5-Card Resolution #358

In walkthrough RES358, Player opens with 9+4 (3) and draws fifth-card 9 (9) for a modulo-10 total of 2, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES358 Player Path
P:3->2
RES358 Banker Path
B:5->5
RES358 Deal Length
5 Cards
RES358 Showdown
B (2v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 5-card resolution RES358 (P3+9->2 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

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

RES358 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.

RES358 Fifth-Card Modulo Proof
(3 + 9) mod 10 = 2 via 9

Player draws fifth-card 9 (value 9), transforming two-card 3 into three-card 2.

RES358 Banker Tableau Lookup
BANKER_TABLEAU[5][9] = false

Banker 5 stands pat at 5 without pulling sixth-card 8 (8).

RES358 Card Count & Winner
5 Cards -> B (2 vs 5)

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

RES358 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 · RES358

Step-by-Step Card Arithmetic for RES358: P(9+4)+9 vs B(2+3)

Arithmetic trace [RES358] starts from four-card deal 9+4=3 vs 2+3=5; Player's compulsory draw of 9 (pip value 9) produces raw 12, which wraps modulo-10 to 2.

[RES358-B] Guided by 5-point four-value window (4..7) against 9 (9) in [RES358], Banker 5 stands on 5 so the coup finishes in 5c without 8 (8).

Complete 5-Card Resolution Trace for RES358
RES358 StageRES358 CardsRES358 Modulo MathRES358 Status
[RES358:Init]P(9+4)=3 vs B(2+3)=5playerShouldDraw(3)=true4-Card Deal
[RES358:5th]Player +9 (9)(3+9) mod 10 = 25th Card Sideways
[RES358:6th]Banker Stands (skip 8=8)Locked at 55-Card Final
[RES358:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES358-1] Confirm [RES358] opening P=3 (9+4) and B=5 (2+3) lack Natural 8/9.
  • [RES358-2] Add [RES358] fifth-card 9 (9) to P=3 for (3+9) mod 10 = 2.
  • [RES358-3] Run [RES358] BANKER_TABLEAU[5][9]=false to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES358

Showdown Settlement & Scoreboard Logging for RES358 (2 vs 5)

[RES358-C4] Comparing [RES358] final totals (5c), Player 2 vs Banker 5 awards [RES358] to Banker (B), which pays 0.95:1 on 5%-commission [RES358] layouts (or 0.5:1 on 6 at No-Commission [RES358] tables) and appends B to PPBBPPBPBP.

[RES358-D6] Side-bet & road check for [RES358] (P3+9->2 vs B5->5, 5c): [RES358] leaves [RES358] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES358] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES358] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES358, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[5][9] = false.
MythBecause RES358 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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