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FINAL TOTAL RESOLUTION [RES023] · 6-CARD PROOF

Player 4 + 3 (3) vs. Banker 0 (Draws 3 (3)): 6-Card Resolution #23

In walkthrough RES023, Player opens with 2+2 (4) and draws fifth-card 3 (3) for a modulo-10 total of 7, while Banker opens with 10+K (0) and draws sixth-card 3 (3) for 3 (6-card P outcome).

RES023 Player Path
P:4->7
RES023 Banker Path
B:0->3
RES023 Deal Length
6 Cards
RES023 Showdown
P (7v3)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES023 (P4+3->7 vs B0->3).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES023 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+K=0

Verified non-natural start via handTotal([2,2])=4 and handTotal([10,K])=0.

RES023 Fifth-Card Modulo Proof
(4 + 3) mod 10 = 7 via 3

Player draws fifth-card 3 (value 3), transforming two-card 4 into three-card 7.

RES023 Banker Tableau Lookup
BANKER_TABLEAU[0][3] = true

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

RES023 Card Count & Winner
6 Cards -> P (7 vs 3)

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

RES023 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 · RES023

Step-by-Step Card Arithmetic for RES023: P(2+2)+3 vs B(10+K)

Evaluating sequence [RES023], the shoe delivers 2+2 (4) to Player and 10+K (0) to Banker; after natural checks clear, fifth-card 3 (3) maps the raw pip total mod 10 (4+3=7) to final Player total 7.

[RES023-B] Because BANKER_TABLEAU[0][3]=true (0-point unconditional draw tier) in [RES023], Banker 0 takes sixth-card 3 (3) and 0+3=3 settles at 3.

Complete 6-Card Resolution Trace for RES023
RES023 StageRES023 CardsRES023 Modulo MathRES023 Status
[RES023:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES023:5th]Player +3 (3)(4+3) mod 10 = 75th Card Sideways
[RES023:6th]Banker +3 (3)(0+3) mod 10 = 36-Card Final
[RES023:Settle]P=7 vs B=3Winner: PBig Road +P
  • [RES023-1] Confirm [RES023] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES023-2] Add [RES023] fifth-card 3 (3) to P=4 for (4+3) mod 10 = 7.
  • [RES023-3] Run [RES023] BANKER_TABLEAU[0][3]=true to settle 7 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES023

Showdown Settlement & Scoreboard Logging for RES023 (7 vs 3)

[RES023-C1] Comparing [RES023] final totals (6c), Player 7 vs Banker 3 awards [RES023] to Player (P), which pays 1:1 even money on [RES023] Player boxes with zero commission deducted and appends P to BBPPBPBPPP.

[RES023-D7] Side-bet & road check for [RES023] (P4+3->7 vs B0->3, 6c): [RES023] leaves [RES023] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES023] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES023] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES023, Banker 0 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[0][3] = true.
MythBecause RES023 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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