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FINAL TOTAL RESOLUTION [RES233] · 5-CARD PROOF

Player 4 + 8 (8) vs. Banker 3 (Stands at 3): 5-Card Resolution #233

In walkthrough RES233, Player opens with 2+2 (4) and draws fifth-card 8 (8) for a modulo-10 total of 2, while Banker opens with 9+4 (3) and stands pat at 3 (5-card B outcome).

RES233 Player Path
P:4->2
RES233 Banker Path
B:3->3
RES233 Deal Length
5 Cards
RES233 Showdown
B (2v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES233 (P4+8->2 vs B3->3).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES233 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

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

RES233 Fifth-Card Modulo Proof
(4 + 8) mod 10 = 2 via 8

Player draws fifth-card 8 (value 8), transforming two-card 4 into three-card 2.

RES233 Banker Tableau Lookup
BANKER_TABLEAU[3][8] = false

Banker 3 stands pat at 3 without pulling sixth-card A (1).

RES233 Card Count & Winner
5 Cards -> B (2 vs 3)

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

RES233 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 · RES233

Step-by-Step Card Arithmetic for RES233: P(2+2)+8 vs B(9+4)

Evaluating sequence [RES233], the shoe delivers 2+2 (4) to Player and 9+4 (3) to Banker; after natural checks clear, fifth-card 8 (8) maps the raw pip total mod 10 (4+8=12) to final Player total 2.

[RES233-B] Inspecting 8=8 via 3-point single-shade row (0..7, 9) in [RES233], Banker 3 stands at 3; A (1) stays in the shoe instead of 4.

Complete 5-Card Resolution Trace for RES233
RES233 StageRES233 CardsRES233 Modulo MathRES233 Status
[RES233:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES233:5th]Player +8 (8)(4+8) mod 10 = 25th Card Sideways
[RES233:6th]Banker Stands (skip A=1)Locked at 35-Card Final
[RES233:Settle]P=2 vs B=3Winner: BBig Road +B
  • [RES233-1] Confirm [RES233] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES233-2] Add [RES233] fifth-card 8 (8) to P=4 for (4+8) mod 10 = 2.
  • [RES233-3] Run [RES233] BANKER_TABLEAU[3][8]=false to settle 2 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES233

Showdown Settlement & Scoreboard Logging for RES233 (2 vs 3)

[RES233-C6] Comparing [RES233] final totals (5c), Player 2 vs Banker 3 awards [RES233] to Banker (B), which pays 0.95:1 on 5%-commission [RES233] layouts (or 0.5:1 on 6 at No-Commission [RES233] tables) and appends B to BBPPPBBBBP.

[RES233-D12] Side-bet & road check for [RES233] (P4+8->2 vs B3->3, 5c): [RES233] leaves [RES233] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=3) and leaves [RES233] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES233] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES233, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[3][8] = false.
MythBecause RES233 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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