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FINAL TOTAL RESOLUTION [RES294] · 5-CARD PROOF

Player 5 + 8 (8) vs. Banker 4 (Stands at 4): 5-Card Resolution #294

In walkthrough RES294, Player opens with A+4 (5) and draws fifth-card 8 (8) for a modulo-10 total of 3, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES294 Player Path
P:5->3
RES294 Banker Path
B:4->4
RES294 Deal Length
5 Cards
RES294 Showdown
B (3v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES294 (P5+8->3 vs B4->4).

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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES294 Four-Card Opening Deal
Player A+4=5 vs Banker A+3=4

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

RES294 Fifth-Card Modulo Proof
(5 + 8) mod 10 = 3 via 8

Player draws fifth-card 8 (value 8), transforming two-card 5 into three-card 3.

RES294 Banker Tableau Lookup
BANKER_TABLEAU[4][8] = false

Banker 4 stands pat at 4 without pulling sixth-card 6 (6).

RES294 Card Count & Winner
5 Cards -> B (3 vs 4)

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

RES294 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 · RES294

Step-by-Step Card Arithmetic for RES294: P(A+4)+8 vs B(A+3)

Step-by-step proof [RES294] pairs Player A+4 (5) with Banker A+3 (4); because 5 sits in the 0..5 draw zone, fifth-card 8 (8) lands and 5+8=13 resolves the unit-digit sum to 3.

[RES294-B] Next in [RES294], Banker applies 4-point six-value gate (2..7): vs 8 (8), Banker 4 stands at 4 in 5c (skipping 6=6 -> 0).

Complete 5-Card Resolution Trace for RES294
RES294 StageRES294 CardsRES294 Modulo MathRES294 Status
[RES294:Init]P(A+4)=5 vs B(A+3)=4playerShouldDraw(5)=true4-Card Deal
[RES294:5th]Player +8 (8)(5+8) mod 10 = 35th Card Sideways
[RES294:6th]Banker Stands (skip 6=6)Locked at 45-Card Final
[RES294:Settle]P=3 vs B=4Winner: BBig Road +B
  • [RES294-1] Confirm [RES294] opening P=5 (A+4) and B=4 (A+3) lack Natural 8/9.
  • [RES294-2] Add [RES294] fifth-card 8 (8) to P=5 for (5+8) mod 10 = 3.
  • [RES294-3] Run [RES294] BANKER_TABLEAU[4][8]=false to settle 3 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES294

Showdown Settlement & Scoreboard Logging for RES294 (3 vs 4)

[RES294-C3] Comparing [RES294] final totals (5c), Player 3 vs Banker 4 awards [RES294] to Banker (B), which pays 0.95:1 on 5%-commission [RES294] layouts (or 0.5:1 on 6 at No-Commission [RES294] tables) and appends B to PPBBPPBPBP.

[RES294-D2] Side-bet & road check for [RES294] (P5+8->3 vs B4->4, 5c): [RES294] leaves [RES294] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES294] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES294] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES294, Banker 4 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[4][8] = false.
MythBecause RES294 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
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