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FINAL TOTAL RESOLUTION [RES320] · 5-CARD PROOF

Player 1 + 3 (3) vs. Banker 5 (Stands at 5): 5-Card Resolution #320

In walkthrough RES320, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES320 Player Path
P:1->4
RES320 Banker Path
B:5->5
RES320 Deal Length
5 Cards
RES320 Showdown
B (4v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES320 (P1+3->4 vs B5->5).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES320 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES320 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.

RES320 Banker Tableau Lookup
BANKER_TABLEAU[5][3] = false

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

RES320 Card Count & Winner
5 Cards -> B (4 vs 5)

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

RES320 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 · RES320

Step-by-Step Card Arithmetic for RES320: P(7+4)+3 vs B(2+3)

Floor verification [RES320] inspects Player 7+4 (1) versus Banker 2+3 (5); once fifth-card 3 (3) is exposed sideways, 1+3=4 drops the tens digit to three-card 4.

[RES320-B] Next in [RES320], Banker applies 5-point four-value window (4..7): vs 3 (3), Banker 5 stands at 5 in 5c (skipping 6=6 -> 1).

Complete 5-Card Resolution Trace for RES320
RES320 StageRES320 CardsRES320 Modulo MathRES320 Status
[RES320:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES320:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES320:6th]Banker Stands (skip 6=6)Locked at 55-Card Final
[RES320:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES320-1] Confirm [RES320] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES320-2] Add [RES320] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES320-3] Run [RES320] BANKER_TABLEAU[5][3]=false to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES320

Showdown Settlement & Scoreboard Logging for RES320 (4 vs 5)

[RES320-C1] Comparing [RES320] final totals (5c), Player 4 vs Banker 5 awards [RES320] to Banker (B), which pays 0.95:1 on 5%-commission [RES320] layouts (or 0.5:1 on 6 at No-Commission [RES320] tables) and appends B to PPBBPBPPBP.

[RES320-D2] Side-bet & road check for [RES320] (P1+3->4 vs B5->5, 5c): [RES320] leaves [RES320] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES320] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES320] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES320, Banker 5 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[5][3] = false.
MythBecause RES320 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android