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FINAL TOTAL RESOLUTION [RES149] · 6-CARD PROOF

Player 4 + 4 (4) vs. Banker 2 (Draws 4 (4)): 6-Card Resolution #149

In walkthrough RES149, Player opens with 2+2 (4) and draws fifth-card 4 (4) for a modulo-10 total of 8, while Banker opens with 10+2 (2) and draws sixth-card 4 (4) for 6 (6-card P outcome).

RES149 Player Path
P:4->8
RES149 Banker Path
B:2->6
RES149 Deal Length
6 Cards
RES149 Showdown
P (8v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES149 (P4+4->8 vs B2->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES149 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

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

RES149 Fifth-Card Modulo Proof
(4 + 4) mod 10 = 8 via 4

Player draws fifth-card 4 (value 4), transforming two-card 4 into three-card 8.

RES149 Banker Tableau Lookup
BANKER_TABLEAU[2][4] = true

Banker 2 draws sixth-card 4 (4) so (2+4) mod 10 = 6.

RES149 Card Count & Winner
6 Cards -> P (8 vs 6)

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

RES149 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 · RES149

Step-by-Step Card Arithmetic for RES149: P(2+2)+4 vs B(10+2)

Evaluating sequence [RES149], the shoe delivers 2+2 (4) to Player and 10+2 (2) to Banker; after natural checks clear, fifth-card 4 (4) maps the raw pip total mod 10 (4+4=8) to final Player total 8.

[RES149-B] Six-card branch [RES149] activates as 4 (4) hits Banker 2's 2-point mandatory draw band; drawing 4 (4) sends 2+4=6 to 6.

Complete 6-Card Resolution Trace for RES149
RES149 StageRES149 CardsRES149 Modulo MathRES149 Status
[RES149:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES149:5th]Player +4 (4)(4+4) mod 10 = 85th Card Sideways
[RES149:6th]Banker +4 (4)(2+4) mod 10 = 66-Card Final
[RES149:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES149-1] Confirm [RES149] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES149-2] Add [RES149] fifth-card 4 (4) to P=4 for (4+4) mod 10 = 8.
  • [RES149-3] Run [RES149] BANKER_TABLEAU[2][4]=true to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES149

Showdown Settlement & Scoreboard Logging for RES149 (8 vs 6)

[RES149-C4] Comparing [RES149] final totals (6c), Player 8 vs Banker 6 awards [RES149] to Player (P), which pays 1:1 even money on [RES149] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES149-D10] Side-bet & road check for [RES149] (P4+4->8 vs B2->6, 6c): [RES149] leaves [RES149] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and triggers [RES149] Panda 8 (winning 3-card Player 8, 25:1); on [RES149] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES149, Banker 2 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[2][4] = true.
MythBecause RES149 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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