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FINAL TOTAL RESOLUTION [RES380] · 5-CARD PROOF

Player 1 + 3 (3) vs. Banker 6 (Stands at 6): 5-Card Resolution #380

In walkthrough RES380, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES380 Player Path
P:1->4
RES380 Banker Path
B:6->6
RES380 Deal Length
5 Cards
RES380 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES380 (P1+3->4 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

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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

RES380 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+4=6

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,4])=6.

RES380 Fifth-Card Modulo Proof
(1 + 3) mod 10 = 4 via 3

Player draws fifth-card 3 (value 3), transforming two-card 1 into three-card 4.

RES380 Banker Tableau Lookup
BANKER_TABLEAU[6][3] = false

Banker 6 stands pat at 6 without pulling sixth-card 7 (7).

RES380 Card Count & Winner
5 Cards -> B (4 vs 6)

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

RES380 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 · RES380

Step-by-Step Card Arithmetic for RES380: P(7+4)+3 vs B(2+4)

Engine check [RES380] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker 2+4 (6); adding fifth-card 3 (3) gives 4, which evaluates modulo ten to 4.

[RES380-B] Evaluating bankerShouldDraw(6, 3)=false (6-point two-value trigger (6..7)) in [RES380], Banker 6 preserves 6 while 7 (7) remains undealt.

Complete 5-Card Resolution Trace for RES380
RES380 StageRES380 CardsRES380 Modulo MathRES380 Status
[RES380:Init]P(7+4)=1 vs B(2+4)=6playerShouldDraw(1)=true4-Card Deal
[RES380:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES380:6th]Banker Stands (skip 7=7)Locked at 65-Card Final
[RES380:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES380-1] Confirm [RES380] opening P=1 (7+4) and B=6 (2+4) lack Natural 8/9.
  • [RES380-2] Add [RES380] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES380-3] Run [RES380] BANKER_TABLEAU[6][3]=false to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES380

Showdown Settlement & Scoreboard Logging for RES380 (4 vs 6)

[RES380-C4] Comparing [RES380] final totals (5c), Player 4 vs Banker 6 awards [RES380] to Banker (B), which pays 0.95:1 on 5%-commission [RES380] layouts (or 0.5:1 on 6 at No-Commission [RES380] tables) and appends B to PPBBPBBBPP.

[RES380-D9] Side-bet & road check for [RES380] (P1+3->4 vs B6->6, 5c): [RES380] leaves [RES380] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES380] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES380] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES380, Banker 6 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[6][3] = false.
MythBecause RES380 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

Read Every Derived Road at Table Speed

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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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