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FINAL TOTAL RESOLUTION [RES073] · 6-CARD PROOF

Player 0 + 2 (2) vs. Banker 1 (Draws 9 (9)): 6-Card Resolution #73

In walkthrough RES073, Player opens with 10+K (0) and draws fifth-card 2 (2) for a modulo-10 total of 2, while Banker opens with 7+4 (1) and draws sixth-card 9 (9) for 0 (6-card P outcome).

RES073 Player Path
P:0->2
RES073 Banker Path
B:1->0
RES073 Deal Length
6 Cards
RES073 Showdown
P (2v0)
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 RES073 (P0+2->2 vs B1->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 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

RES073 Four-Card Opening Deal
Player 10+K=0 vs Banker 7+4=1

Verified non-natural start via handTotal([10,K])=0 and handTotal([7,4])=1.

RES073 Fifth-Card Modulo Proof
(0 + 2) mod 10 = 2 via 2

Player draws fifth-card 2 (value 2), transforming two-card 0 into three-card 2.

RES073 Banker Tableau Lookup
BANKER_TABLEAU[1][2] = true

Banker 1 draws sixth-card 9 (9) so (1+9) mod 10 = 0.

RES073 Card Count & Winner
6 Cards -> P (2 vs 0)

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

RES073 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 · RES073

Step-by-Step Card Arithmetic for RES073: P(10+K)+2 vs B(7+4)

During tableau case [RES073], Player holds 10+K for 0 while Banker holds 7+4 for 1; drawing fifth-card 2 (2) shifts Player from 0 to 2, which reduces mod-10 to 2.

[RES073-B] Next in [RES073], Banker consults 1-point automatic draw row: facing fifth-card 2 (2), Banker 1 draws 9 (9) so 1+9=10 -> 0.

Complete 6-Card Resolution Trace for RES073
RES073 StageRES073 CardsRES073 Modulo MathRES073 Status
[RES073:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES073:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES073:6th]Banker +9 (9)(1+9) mod 10 = 06-Card Final
[RES073:Settle]P=2 vs B=0Winner: PBig Road +P
  • [RES073-1] Confirm [RES073] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES073-2] Add [RES073] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES073-3] Run [RES073] BANKER_TABLEAU[1][2]=true to settle 2 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES073

Showdown Settlement & Scoreboard Logging for RES073 (2 vs 0)

[RES073-C9] Comparing [RES073] final totals (6c), Player 2 vs Banker 0 awards [RES073] to Player (P), which pays 1:1 even money on [RES073] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES073-D2] Side-bet & road check for [RES073] (P0+2->2 vs B1->0, 6c): [RES073] leaves [RES073] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES073] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES073] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES073, Banker 1 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[1][2] = true.
MythBecause RES073 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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