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FINAL TOTAL RESOLUTION [RES376] · 5-CARD PROOF

Player 3 + 2 (2) vs. Banker 6 (Stands at 6): 5-Card Resolution #376

In walkthrough RES376, Player opens with 9+4 (3) and draws fifth-card 2 (2) for a modulo-10 total of 5, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES376 Player Path
P:3->5
RES376 Banker Path
B:6->6
RES376 Deal Length
5 Cards
RES376 Showdown
B (5v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES376 (P3+2->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

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

RES376 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.

RES376 Fifth-Card Modulo Proof
(3 + 2) mod 10 = 5 via 2

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

RES376 Banker Tableau Lookup
BANKER_TABLEAU[6][2] = false

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

RES376 Card Count & Winner
5 Cards -> B (5 vs 6)

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

RES376 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 · RES376

Step-by-Step Card Arithmetic for RES376: P(9+4)+2 vs B(2+4)

Floor verification [RES376] inspects Player 9+4 (3) versus Banker 2+4 (6); once fifth-card 2 (2) is exposed sideways, 3+2=5 drops the tens digit to three-card 5.

[RES376-B] Inspecting 2=2 via 6-point two-value trigger (6..7) in [RES376], Banker 6 stands at 6; 6 (6) stays in the shoe instead of 2.

Complete 5-Card Resolution Trace for RES376
RES376 StageRES376 CardsRES376 Modulo MathRES376 Status
[RES376:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES376:5th]Player +2 (2)(3+2) mod 10 = 55th Card Sideways
[RES376:6th]Banker Stands (skip 6=6)Locked at 65-Card Final
[RES376:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES376-1] Confirm [RES376] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES376-2] Add [RES376] fifth-card 2 (2) to P=3 for (3+2) mod 10 = 5.
  • [RES376-3] Run [RES376] BANKER_TABLEAU[6][2]=false to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES376

Showdown Settlement & Scoreboard Logging for RES376 (5 vs 6)

[RES376-C6] Comparing [RES376] final totals (5c), Player 5 vs Banker 6 awards [RES376] to Banker (B), which pays 0.95:1 on 5%-commission [RES376] layouts (or 0.5:1 on 6 at No-Commission [RES376] tables) and appends B to PPBBPBPBBB.

[RES376-D12] Side-bet & road check for [RES376] (P3+2->5 vs B6->6, 5c): [RES376] leaves [RES376] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES376] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES376] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES376, Banker 6 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[6][2] = false.
MythBecause RES376 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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