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FINAL TOTAL RESOLUTION [RES322] · 5-CARD PROOF

Player 3 + 3 (3) vs. Banker 5 (Stands at 5): 5-Card Resolution #322

In walkthrough RES322, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 2+3 (5) and stands pat at 5 (5-card P outcome).

RES322 Player Path
P:3->6
RES322 Banker Path
B:5->5
RES322 Deal Length
5 Cards
RES322 Showdown
P (6v5)
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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 5-card resolution RES322 (P3+3->6 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

RES322 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+3=5

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,3])=5.

RES322 Fifth-Card Modulo Proof
(3 + 3) mod 10 = 6 via 3

Player draws fifth-card 3 (value 3), transforming two-card 3 into three-card 6.

RES322 Banker Tableau Lookup
BANKER_TABLEAU[5][3] = false

Banker 5 stands pat at 5 without pulling sixth-card 4 (4).

RES322 Card Count & Winner
5 Cards -> P (6 vs 5)

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

RES322 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES322

Step-by-Step Card Arithmetic for RES322: P(9+4)+3 vs B(2+3)

Step-by-step proof [RES322] pairs Player 9+4 (3) with Banker 2+3 (5); because 3 sits in the 0..5 draw zone, fifth-card 3 (3) lands and 3+3=6 resolves the unit-digit sum to 6.

[RES322-B] Because BANKER_TABLEAU[5][3]=false (5-point four-value window (4..7)) in [RES322], Banker 5 locks 5 at 5c (leaving 4=4 -> 9 unpulled).

Complete 5-Card Resolution Trace for RES322
RES322 StageRES322 CardsRES322 Modulo MathRES322 Status
[RES322:Init]P(9+4)=3 vs B(2+3)=5playerShouldDraw(3)=true4-Card Deal
[RES322:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES322:6th]Banker Stands (skip 4=4)Locked at 55-Card Final
[RES322:Settle]P=6 vs B=5Winner: PBig Road +P
  • [RES322-1] Confirm [RES322] opening P=3 (9+4) and B=5 (2+3) lack Natural 8/9.
  • [RES322-2] Add [RES322] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES322-3] Run [RES322] BANKER_TABLEAU[5][3]=false to settle 6 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES322

Showdown Settlement & Scoreboard Logging for RES322 (6 vs 5)

[RES322-C0] Comparing [RES322] final totals (5c), Player 6 vs Banker 5 awards [RES322] to Player (P), which pays 1:1 even money on [RES322] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES322-D7] Side-bet & road check for [RES322] (P3+3->6 vs B5->5, 5c): [RES322] leaves [RES322] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES322] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES322] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES322, Banker 5 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[5][3] = false.
MythBecause RES322 resolves as P, the next derived-road mark must match P'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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