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FINAL TOTAL RESOLUTION [RES206] · 6-CARD PROOF

Player 1 + 4 (4) vs. Banker 3 (Draws 3 (3)): 6-Card Resolution #206

In walkthrough RES206, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with 10+3 (3) and draws sixth-card 3 (3) for 6 (6-card B outcome).

RES206 Player Path
P:1->5
RES206 Banker Path
B:3->6
RES206 Deal Length
6 Cards
RES206 Showdown
B (5v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES206 (P1+4->5 vs B3->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

RES206 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES206 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES206 Banker Tableau Lookup
BANKER_TABLEAU[3][4] = true

Banker 3 draws sixth-card 3 (3) so (3+3) mod 10 = 6.

RES206 Card Count & Winner
6 Cards -> B (5 vs 6)

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

RES206 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 · RES206

Step-by-Step Card Arithmetic for RES206: P(7+4)+4 vs B(10+3)

In coup [RES206], initial cards deal 7+4=1 to Player and 10+3=3 to Banker; lacking a four-card natural, Player takes fifth-card 4 (4) where raw sum 5 projects onto the 0..9 ring to 5.

[RES206-B] Because BANKER_TABLEAU[3][4]=true (3-point single-shade row (0..7, 9)) in [RES206], Banker 3 takes sixth-card 3 (3) and 3+3=6 settles at 6.

Complete 6-Card Resolution Trace for RES206
RES206 StageRES206 CardsRES206 Modulo MathRES206 Status
[RES206:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES206:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES206:6th]Banker +3 (3)(3+3) mod 10 = 66-Card Final
[RES206:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES206-1] Confirm [RES206] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES206-2] Add [RES206] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES206-3] Run [RES206] BANKER_TABLEAU[3][4]=true to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES206

Showdown Settlement & Scoreboard Logging for RES206 (5 vs 6)

[RES206-C3] Comparing [RES206] final totals (6c), Player 5 vs Banker 6 awards [RES206] to Banker (B), which pays 0.95:1 on 5%-commission [RES206] layouts (or 0.5:1 on 6 at No-Commission [RES206] tables) and appends B to PPBBPPBBBP.

[RES206-D3] Side-bet & road check for [RES206] (P1+4->5 vs B3->6, 6c): [RES206] leaves [RES206] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES206] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES206] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES206, Banker 3 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[3][4] = true.
MythBecause RES206 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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