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FINAL TOTAL RESOLUTION [RES207] · 6-CARD PROOF

Player 2 + 4 (4) vs. Banker 3 (Draws 7 (7)): 6-Card Resolution #207

In walkthrough RES207, Player opens with 10+2 (2) and draws fifth-card 4 (4) for a modulo-10 total of 6, while Banker opens with 9+4 (3) and draws sixth-card 7 (7) for 0 (6-card P outcome).

RES207 Player Path
P:2->6
RES207 Banker Path
B:3->0
RES207 Deal Length
6 Cards
RES207 Showdown
P (6v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES207 (P2+4->6 vs B3->0).

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

RES207 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.

RES207 Fifth-Card Modulo Proof
(2 + 4) mod 10 = 6 via 4

Player draws fifth-card 4 (value 4), transforming two-card 2 into three-card 6.

RES207 Banker Tableau Lookup
BANKER_TABLEAU[3][4] = true

Banker 3 draws sixth-card 7 (7) so (3+7) mod 10 = 0.

RES207 Card Count & Winner
6 Cards -> P (6 vs 0)

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

RES207 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 · RES207

Step-by-Step Card Arithmetic for RES207: P(10+2)+4 vs B(9+4)

Shoe deal [RES207] places 10+2 (2) on Player and 9+4 (3) on Banker; because 2 is below 6, Player draws 4 (4) and 6 truncates the decimal tens place to 6.

[RES207-B] Acting on 4=4 inside [RES207], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 7 (7) for 3+7=10 -> 0.

Complete 6-Card Resolution Trace for RES207
RES207 StageRES207 CardsRES207 Modulo MathRES207 Status
[RES207:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES207:5th]Player +4 (4)(2+4) mod 10 = 65th Card Sideways
[RES207:6th]Banker +7 (7)(3+7) mod 10 = 06-Card Final
[RES207:Settle]P=6 vs B=0Winner: PBig Road +P
  • [RES207-1] Confirm [RES207] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES207-2] Add [RES207] fifth-card 4 (4) to P=2 for (2+4) mod 10 = 6.
  • [RES207-3] Run [RES207] BANKER_TABLEAU[3][4]=true to settle 6 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES207

Showdown Settlement & Scoreboard Logging for RES207 (6 vs 0)

[RES207-C8] Comparing [RES207] final totals (6c), Player 6 vs Banker 0 awards [RES207] to Player (P), which pays 1:1 even money on [RES207] Player boxes with zero commission deducted and appends P to BBPPBPBBPB.

[RES207-D12] Side-bet & road check for [RES207] (P2+4->6 vs B3->0, 6c): [RES207] leaves [RES207] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES207] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES207] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES207, Banker 3 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[3][4] = true.
MythBecause RES207 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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