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FINAL TOTAL RESOLUTION [RES219] · 6-CARD PROOF

Player 2 + 6 (6) vs. Banker 3 (Draws 5 (5)): 6-Card Resolution #219

In walkthrough RES219, Player opens with 10+2 (2) and draws fifth-card 6 (6) for a modulo-10 total of 8, while Banker opens with 9+4 (3) and draws sixth-card 5 (5) for 8 (6-card T outcome).

RES219 Player Path
P:2->8
RES219 Banker Path
B:3->8
RES219 Deal Length
6 Cards
RES219 Showdown
T (8v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P P P B B B B P B B P P B B P
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard sequence paired with 6-card resolution RES219 (P2+6->8 vs B3->8).

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES219 Four-Card Opening Deal
Player 10+2=2 vs Banker 9+4=3

Verified non-natural start via handTotal([10,2])=2 and handTotal([9,4])=3.

RES219 Fifth-Card Modulo Proof
(2 + 6) mod 10 = 8 via 6

Player draws fifth-card 6 (value 6), transforming two-card 2 into three-card 8.

RES219 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card 5 (5) so (3+5) mod 10 = 8.

RES219 Card Count & Winner
6 Cards -> T (8 vs 8)

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

RES219 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES219

Step-by-Step Card Arithmetic for RES219: P(10+2)+6 vs B(9+4)

Evaluating sequence [RES219], the shoe delivers 10+2 (2) to Player and 9+4 (3) to Banker; after natural checks clear, fifth-card 6 (6) maps the raw pip total mod 10 (2+6=8) to final Player total 8.

[RES219-B] Because BANKER_TABLEAU[3][6]=true (3-point single-shade row (0..7, 9)) in [RES219], Banker 3 takes sixth-card 5 (5) and 3+5=8 settles at 8.

Complete 6-Card Resolution Trace for RES219
RES219 StageRES219 CardsRES219 Modulo MathRES219 Status
[RES219:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES219:5th]Player +6 (6)(2+6) mod 10 = 85th Card Sideways
[RES219:6th]Banker +5 (5)(3+5) mod 10 = 86-Card Final
[RES219:Settle]P=8 vs B=8Winner: TBig Road +T
  • [RES219-1] Confirm [RES219] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES219-2] Add [RES219] fifth-card 6 (6) to P=2 for (2+6) mod 10 = 8.
  • [RES219-3] Run [RES219] BANKER_TABLEAU[3][6]=true to settle 8 vs 8 (T).
SETTLEMENT & SCOREBOARD · RES219

Showdown Settlement & Scoreboard Logging for RES219 (8 vs 8)

[RES219-C2] Comparing [RES219] final totals (6c), Player 8 vs Banker 8 awards [RES219] to Tie (T), which pushes main [RES219] Player/Banker wagers while settling [RES219] Tie bets at 8:1 or 9:1 and appends T to BBPPBPPPBB.

[RES219-D3] Side-bet & road check for [RES219] (P2+6->8 vs B3->8, 6c): [RES219] leaves [RES219] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES219] Panda 8 inactive (needs winning 3c Player 8, got P=8); on [RES219] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES219, Banker 3 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES219 resolves as T, the next derived-road mark must match T'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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