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FINAL TOTAL RESOLUTION [RES353] · 5-CARD PROOF

Player 4 + 8 (8) vs. Banker 5 (Stands at 5): 5-Card Resolution #353

In walkthrough RES353, Player opens with 2+2 (4) and draws fifth-card 8 (8) for a modulo-10 total of 2, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES353 Player Path
P:4->2
RES353 Banker Path
B:5->5
RES353 Deal Length
5 Cards
RES353 Showdown
B (2v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES353 (P4+8->2 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

RES353 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES353 Fifth-Card Modulo Proof
(4 + 8) mod 10 = 2 via 8

Player draws fifth-card 8 (value 8), transforming two-card 4 into three-card 2.

RES353 Banker Tableau Lookup
BANKER_TABLEAU[5][8] = false

Banker 5 stands pat at 5 without pulling sixth-card 3 (3).

RES353 Card Count & Winner
5 Cards -> B (2 vs 5)

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

RES353 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 · RES353

Step-by-Step Card Arithmetic for RES353: P(2+2)+8 vs B(A+4)

During tableau case [RES353], Player holds 2+2 for 4 while Banker holds A+4 for 5; drawing fifth-card 8 (8) shifts Player from 4 to 12, which reduces mod-10 to 2.

[RES353-B] Under 5-point four-value window (4..7) for [RES353], 8 (8) closes action at 5c with Banker at 5 (had 3=3 landed, 5+3=8 -> 8).

Complete 5-Card Resolution Trace for RES353
RES353 StageRES353 CardsRES353 Modulo MathRES353 Status
[RES353:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES353:5th]Player +8 (8)(4+8) mod 10 = 25th Card Sideways
[RES353:6th]Banker Stands (skip 3=3)Locked at 55-Card Final
[RES353:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES353-1] Confirm [RES353] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES353-2] Add [RES353] fifth-card 8 (8) to P=4 for (4+8) mod 10 = 2.
  • [RES353-3] Run [RES353] BANKER_TABLEAU[5][8]=false to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES353

Showdown Settlement & Scoreboard Logging for RES353 (2 vs 5)

[RES353-C1] Comparing [RES353] final totals (5c), Player 2 vs Banker 5 awards [RES353] to Banker (B), which pays 0.95:1 on 5%-commission [RES353] layouts (or 0.5:1 on 6 at No-Commission [RES353] tables) and appends B to BBPPBPBBPP.

[RES353-D0] Side-bet & road check for [RES353] (P4+8->2 vs B5->5, 5c): [RES353] leaves [RES353] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES353] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES353] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES353, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[5][8] = false.
MythBecause RES353 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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