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FINAL TOTAL RESOLUTION [RES229] · 5-CARD PROOF

Player 0 + 8 (8) vs. Banker 3 (Stands at 3): 5-Card Resolution #229

In walkthrough RES229, Player opens with 10+K (0) and draws fifth-card 8 (8) for a modulo-10 total of 8, while Banker opens with 9+4 (3) and stands pat at 3 (5-card P outcome).

RES229 Player Path
P:0->8
RES229 Banker Path
B:3->3
RES229 Deal Length
5 Cards
RES229 Showdown
P (8v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES229 (P0+8->8 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

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

RES229 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES229 Fifth-Card Modulo Proof
(0 + 8) mod 10 = 8 via 8

Player draws fifth-card 8 (value 8), transforming two-card 0 into three-card 8.

RES229 Banker Tableau Lookup
BANKER_TABLEAU[3][8] = false

Banker 3 stands pat at 3 without pulling sixth-card 5 (5).

RES229 Card Count & Winner
5 Cards -> P (8 vs 3)

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

RES229 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES229

Step-by-Step Card Arithmetic for RES229: P(10+K)+8 vs B(9+4)

Under audit [RES229], Player opens on two-card 0 (10+K) opposite Banker 3 (9+4), triggering a mandatory fifth-card pull of 8 (value 8) that settles via mod-10 arithmetic from 8 into 8.

[RES229-B] Next in [RES229], Banker applies 3-point single-shade row (0..7, 9): vs 8 (8), Banker 3 stands at 3 in 5c (skipping 5=5 -> 8).

Complete 5-Card Resolution Trace for RES229
RES229 StageRES229 CardsRES229 Modulo MathRES229 Status
[RES229:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES229:5th]Player +8 (8)(0+8) mod 10 = 85th Card Sideways
[RES229:6th]Banker Stands (skip 5=5)Locked at 35-Card Final
[RES229:Settle]P=8 vs B=3Winner: PBig Road +P
  • [RES229-1] Confirm [RES229] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES229-2] Add [RES229] fifth-card 8 (8) to P=0 for (0+8) mod 10 = 8.
  • [RES229-3] Run [RES229] BANKER_TABLEAU[3][8]=false to settle 8 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES229

Showdown Settlement & Scoreboard Logging for RES229 (8 vs 3)

[RES229-C8] Comparing [RES229] final totals (5c), Player 8 vs Banker 3 awards [RES229] to Player (P), which pays 1:1 even money on [RES229] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES229-D2] Side-bet & road check for [RES229] (P0+8->8 vs B3->3, 5c): [RES229] leaves [RES229] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=3) and triggers [RES229] Panda 8 (winning 3-card Player 8, 25:1); on [RES229] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES229, Banker 3 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[3][8] = false.
MythBecause RES229 resolves as P, the next derived-road mark must match P's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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