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FINAL TOTAL RESOLUTION [RES022] · 6-CARD PROOF

Player 3 + 3 (3) vs. Banker 0 (Draws 9 (9)): 6-Card Resolution #22

In walkthrough RES022, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 6+4 (0) and draws sixth-card 9 (9) for 9 (6-card B outcome).

RES022 Player Path
P:3->6
RES022 Banker Path
B:0->9
RES022 Deal Length
6 Cards
RES022 Showdown
B (6v9)
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 6-card resolution RES022 (P3+3->6 vs B0->9).

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

RES022 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES022 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.

RES022 Banker Tableau Lookup
BANKER_TABLEAU[0][3] = true

Banker 0 draws sixth-card 9 (9) so (0+9) mod 10 = 9.

RES022 Card Count & Winner
6 Cards -> B (6 vs 9)

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

RES022 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 · RES022

Step-by-Step Card Arithmetic for RES022: P(9+4)+3 vs B(6+4)

Arithmetic trace [RES022] starts from four-card deal 9+4=3 vs 6+4=0; Player's compulsory draw of 3 (pip value 3) produces raw 6, which wraps modulo-10 to 6.

[RES022-B] Next in [RES022], Banker consults 0-point unconditional draw tier: facing fifth-card 3 (3), Banker 0 draws 9 (9) so 0+9=9 -> 9.

Complete 6-Card Resolution Trace for RES022
RES022 StageRES022 CardsRES022 Modulo MathRES022 Status
[RES022:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES022:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES022:6th]Banker +9 (9)(0+9) mod 10 = 96-Card Final
[RES022:Settle]P=6 vs B=9Winner: BBig Road +B
  • [RES022-1] Confirm [RES022] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES022-2] Add [RES022] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES022-3] Run [RES022] BANKER_TABLEAU[0][3]=true to settle 6 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES022

Showdown Settlement & Scoreboard Logging for RES022 (6 vs 9)

[RES022-C7] Comparing [RES022] final totals (6c), Player 6 vs Banker 9 awards [RES022] to Banker (B), which pays 0.95:1 on 5%-commission [RES022] layouts (or 0.5:1 on 6 at No-Commission [RES022] tables) and appends B to PPBBPPBPBP.

[RES022-D11] Side-bet & road check for [RES022] (P3+3->6 vs B0->9, 6c): [RES022] leaves [RES022] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES022] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES022] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES022, Banker 0 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[0][3] = true.
MythBecause RES022 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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