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FINAL TOTAL RESOLUTION [RES201] · 6-CARD PROOF

Player 2 + 3 (3) vs. Banker 3 (Draws 8 (8)): 6-Card Resolution #201

In walkthrough RES201, Player opens with 10+2 (2) and draws fifth-card 3 (3) for a modulo-10 total of 5, while Banker opens with 9+4 (3) and draws sixth-card 8 (8) for 1 (6-card P outcome).

RES201 Player Path
P:2->5
RES201 Banker Path
B:3->1
RES201 Deal Length
6 Cards
RES201 Showdown
P (5v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES201 (P2+3->5 vs B3->1).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES201 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.

RES201 Fifth-Card Modulo Proof
(2 + 3) mod 10 = 5 via 3

Player draws fifth-card 3 (value 3), transforming two-card 2 into three-card 5.

RES201 Banker Tableau Lookup
BANKER_TABLEAU[3][3] = true

Banker 3 draws sixth-card 8 (8) so (3+8) mod 10 = 1.

RES201 Card Count & Winner
6 Cards -> P (5 vs 1)

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

RES201 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 · RES201

Step-by-Step Card Arithmetic for RES201: P(10+2)+3 vs B(9+4)

Under audit [RES201], Player opens on two-card 2 (10+2) opposite Banker 3 (9+4), triggering a mandatory fifth-card pull of 3 (value 3) that settles via mod-10 arithmetic from 5 into 5.

[RES201-B] Six-card branch [RES201] activates as 3 (3) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 8 (8) sends 3+8=11 to 1.

Complete 6-Card Resolution Trace for RES201
RES201 StageRES201 CardsRES201 Modulo MathRES201 Status
[RES201:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES201:5th]Player +3 (3)(2+3) mod 10 = 55th Card Sideways
[RES201:6th]Banker +8 (8)(3+8) mod 10 = 16-Card Final
[RES201:Settle]P=5 vs B=1Winner: PBig Road +P
  • [RES201-1] Confirm [RES201] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES201-2] Add [RES201] fifth-card 3 (3) to P=2 for (2+3) mod 10 = 5.
  • [RES201-3] Run [RES201] BANKER_TABLEAU[3][3]=true to settle 5 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES201

Showdown Settlement & Scoreboard Logging for RES201 (5 vs 1)

[RES201-C0] Comparing [RES201] final totals (6c), Player 5 vs Banker 1 awards [RES201] to Player (P), which pays 1:1 even money on [RES201] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES201-D10] Side-bet & road check for [RES201] (P2+3->5 vs B3->1, 6c): [RES201] leaves [RES201] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES201] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES201] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES201, Banker 3 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[3][3] = true.
MythBecause RES201 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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