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FINAL TOTAL RESOLUTION [RES191] · 6-CARD PROOF

Player 4 + A (1) vs. Banker 3 (Draws 8 (8)): 6-Card Resolution #191

In walkthrough RES191, Player opens with 2+2 (4) and draws fifth-card A (1) 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).

RES191 Player Path
P:4->5
RES191 Banker Path
B:3->1
RES191 Deal Length
6 Cards
RES191 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 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 RES191 (P4+1->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 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

RES191 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

Verified non-natural start via handTotal([2,2])=4 and handTotal([9,4])=3.

RES191 Fifth-Card Modulo Proof
(4 + 1) mod 10 = 5 via A

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

RES191 Banker Tableau Lookup
BANKER_TABLEAU[3][1] = true

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

RES191 Card Count & Winner
6 Cards -> P (5 vs 1)

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

RES191 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 · RES191

Step-by-Step Card Arithmetic for RES191: P(2+2)+A vs B(9+4)

Evaluating sequence [RES191], the shoe delivers 2+2 (4) to Player and 9+4 (3) to Banker; after natural checks clear, fifth-card A (1) maps the raw pip total mod 10 (4+1=5) to final Player total 5.

[RES191-B] Next in [RES191], Banker consults 3-point single-shade row (0..7, 9): facing fifth-card A (1), Banker 3 draws 8 (8) so 3+8=11 -> 1.

Complete 6-Card Resolution Trace for RES191
RES191 StageRES191 CardsRES191 Modulo MathRES191 Status
[RES191:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES191:5th]Player +A (1)(4+1) mod 10 = 55th Card Sideways
[RES191:6th]Banker +8 (8)(3+8) mod 10 = 16-Card Final
[RES191:Settle]P=5 vs B=1Winner: PBig Road +P
  • [RES191-1] Confirm [RES191] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES191-2] Add [RES191] fifth-card A (1) to P=4 for (4+1) mod 10 = 5.
  • [RES191-3] Run [RES191] BANKER_TABLEAU[3][1]=true to settle 5 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES191

Showdown Settlement & Scoreboard Logging for RES191 (5 vs 1)

[RES191-C5] Comparing [RES191] final totals (6c), Player 5 vs Banker 1 awards [RES191] to Player (P), which pays 1:1 even money on [RES191] Player boxes with zero commission deducted and appends P to BBPPBPBBPB.

[RES191-D11] Side-bet & road check for [RES191] (P4+1->5 vs B3->1, 6c): [RES191] leaves [RES191] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES191] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES191] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES191, Banker 3 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[3][1] = true.
MythBecause RES191 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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