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FINAL TOTAL RESOLUTION [RES382] · 5-CARD PROOF

Player 3 + 3 (3) vs. Banker 6 (Stands at 6): 5-Card Resolution #382

In walkthrough RES382, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 2+4 (6) and stands pat at 6 (5-card T outcome).

RES382 Player Path
P:3->6
RES382 Banker Path
B:6->6
RES382 Deal Length
5 Cards
RES382 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P P B B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES382 (P3+3->6 vs B6->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES382 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES382 Fifth-Card Modulo Proof
(3 + 3) mod 10 = 6 via 3

Player draws fifth-card 3 (value 3), transforming two-card 3 into three-card 6.

RES382 Banker Tableau Lookup
BANKER_TABLEAU[6][3] = false

Banker 6 stands pat at 6 without pulling sixth-card 5 (5).

RES382 Card Count & Winner
5 Cards -> T (6 vs 6)

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

RES382 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES382

Step-by-Step Card Arithmetic for RES382: P(9+4)+3 vs B(2+4)

Within resolution [RES382], Player's opening 9+4 totals 3 against Banker's 2+4 (6); Punto Banco rules require drawing 3 (3), and 3+3=6 extracts the terminal digit to 6.

[RES382-B] Five-card branch [RES382] ends as 3 (3) falls outside 6-point two-value trigger (6..7), keeping Banker 6 at 6 rather than 1 via 5.

Complete 5-Card Resolution Trace for RES382
RES382 StageRES382 CardsRES382 Modulo MathRES382 Status
[RES382:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES382:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES382:6th]Banker Stands (skip 5=5)Locked at 65-Card Final
[RES382:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES382-1] Confirm [RES382] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES382-2] Add [RES382] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES382-3] Run [RES382] BANKER_TABLEAU[6][3]=false to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES382

Showdown Settlement & Scoreboard Logging for RES382 (6 vs 6)

[RES382-C3] Comparing [RES382] final totals (5c), Player 6 vs Banker 6 awards [RES382] to Tie (T), which pushes main [RES382] Player/Banker wagers while settling [RES382] Tie bets at 8:1 or 9:1 and appends T to PPBBPPBBBP.

[RES382-D1] Side-bet & road check for [RES382] (P3+3->6 vs B6->6, 5c): [RES382] leaves [RES382] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES382] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES382] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES382, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[6][3] = false.
MythBecause RES382 resolves as T, the next derived-road mark must match T'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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