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FINAL TOTAL RESOLUTION [RES359] · 5-CARD PROOF

Player 4 + 9 (9) vs. Banker 5 (Stands at 5): 5-Card Resolution #359

In walkthrough RES359, Player opens with 2+2 (4) and draws fifth-card 9 (9) for a modulo-10 total of 3, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES359 Player Path
P:4->3
RES359 Banker Path
B:5->5
RES359 Deal Length
5 Cards
RES359 Showdown
B (3v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES359 (P4+9->3 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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES359 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES359 Fifth-Card Modulo Proof
(4 + 9) mod 10 = 3 via 9

Player draws fifth-card 9 (value 9), transforming two-card 4 into three-card 3.

RES359 Banker Tableau Lookup
BANKER_TABLEAU[5][9] = false

Banker 5 stands pat at 5 without pulling sixth-card 2 (2).

RES359 Card Count & Winner
5 Cards -> B (3 vs 5)

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

RES359 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 · RES359

Step-by-Step Card Arithmetic for RES359: P(2+2)+9 vs B(A+4)

Evaluating sequence [RES359], the shoe delivers 2+2 (4) to Player and A+4 (5) to Banker; after natural checks clear, fifth-card 9 (9) maps the raw pip total mod 10 (4+9=13) to final Player total 3.

[RES359-B] Next in [RES359], Banker applies 5-point four-value window (4..7): vs 9 (9), Banker 5 stands at 5 in 5c (skipping 2=2 -> 7).

Complete 5-Card Resolution Trace for RES359
RES359 StageRES359 CardsRES359 Modulo MathRES359 Status
[RES359:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES359:5th]Player +9 (9)(4+9) mod 10 = 35th Card Sideways
[RES359:6th]Banker Stands (skip 2=2)Locked at 55-Card Final
[RES359:Settle]P=3 vs B=5Winner: BBig Road +B
  • [RES359-1] Confirm [RES359] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES359-2] Add [RES359] fifth-card 9 (9) to P=4 for (4+9) mod 10 = 3.
  • [RES359-3] Run [RES359] BANKER_TABLEAU[5][9]=false to settle 3 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES359

Showdown Settlement & Scoreboard Logging for RES359 (3 vs 5)

[RES359-C9] Comparing [RES359] final totals (5c), Player 3 vs Banker 5 awards [RES359] to Banker (B), which pays 0.95:1 on 5%-commission [RES359] layouts (or 0.5:1 on 6 at No-Commission [RES359] tables) and appends B to BBPPBPBPPP.

[RES359-D2] Side-bet & road check for [RES359] (P4+9->3 vs B5->5, 5c): [RES359] leaves [RES359] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES359] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES359] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES359, Banker 5 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[5][9] = false.
MythBecause RES359 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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