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FINAL TOTAL RESOLUTION [RES381] · 5-CARD PROOF

Player 2 + 3 (3) vs. Banker 6 (Stands at 6): 5-Card Resolution #381

In walkthrough RES381, Player opens with 10+2 (2) and draws fifth-card 3 (3) for a modulo-10 total of 5, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES381 Player Path
P:2->5
RES381 Banker Path
B:6->6
RES381 Deal Length
5 Cards
RES381 Showdown
B (5v6)
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 P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES381 (P2+3->5 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

RES381 Four-Card Opening Deal
Player 10+2=2 vs Banker 3+3=6

Verified non-natural start via handTotal([10,2])=2 and handTotal([3,3])=6.

RES381 Fifth-Card Modulo Proof
(2 + 3) mod 10 = 5 via 3

Player draws fifth-card 3 (value 3), transforming two-card 2 into three-card 5.

RES381 Banker Tableau Lookup
BANKER_TABLEAU[6][3] = false

Banker 6 stands pat at 6 without pulling sixth-card A (1).

RES381 Card Count & Winner
5 Cards -> B (5 vs 6)

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

RES381 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 · RES381

Step-by-Step Card Arithmetic for RES381: P(10+2)+3 vs B(3+3)

During tableau case [RES381], Player holds 10+2 for 2 while Banker holds 3+3 for 6; drawing fifth-card 3 (3) shifts Player from 2 to 5, which reduces mod-10 to 5.

[RES381-B] Evaluating bankerShouldDraw(6, 3)=false (6-point two-value trigger (6..7)) in [RES381], Banker 6 preserves 6 while A (1) remains undealt.

Complete 5-Card Resolution Trace for RES381
RES381 StageRES381 CardsRES381 Modulo MathRES381 Status
[RES381:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES381:5th]Player +3 (3)(2+3) mod 10 = 55th Card Sideways
[RES381:6th]Banker Stands (skip A=1)Locked at 65-Card Final
[RES381:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES381-1] Confirm [RES381] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES381-2] Add [RES381] fifth-card 3 (3) to P=2 for (2+3) mod 10 = 5.
  • [RES381-3] Run [RES381] BANKER_TABLEAU[6][3]=false to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES381

Showdown Settlement & Scoreboard Logging for RES381 (5 vs 6)

[RES381-C9] Comparing [RES381] final totals (5c), Player 5 vs Banker 6 awards [RES381] to Banker (B), which pays 0.95:1 on 5%-commission [RES381] layouts (or 0.5:1 on 6 at No-Commission [RES381] tables) and appends B to BBPPBBPPPB.

[RES381-D5] Side-bet & road check for [RES381] (P2+3->5 vs B6->6, 5c): [RES381] leaves [RES381] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES381] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES381] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES381, Banker 6 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[6][3] = false.
MythBecause RES381 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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