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FINAL TOTAL RESOLUTION [RES141] · 6-CARD PROOF

Player 2 + 3 (3) vs. Banker 2 (Draws 7 (7)): 6-Card Resolution #141

In walkthrough RES141, Player opens with 10+2 (2) and draws fifth-card 3 (3) for a modulo-10 total of 5, while Banker opens with 10+2 (2) and draws sixth-card 7 (7) for 9 (6-card B outcome).

RES141 Player Path
P:2->5
RES141 Banker Path
B:2->9
RES141 Deal Length
6 Cards
RES141 Showdown
B (5v9)
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 P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES141 (P2+3->5 vs B2->9).

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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES141 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+2=2

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

RES141 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.

RES141 Banker Tableau Lookup
BANKER_TABLEAU[2][3] = true

Banker 2 draws sixth-card 7 (7) so (2+7) mod 10 = 9.

RES141 Card Count & Winner
6 Cards -> B (5 vs 9)

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

RES141 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES141

Step-by-Step Card Arithmetic for RES141: P(10+2)+3 vs B(10+2)

[RES141] Walkthrough #141 begins with Player holding 10+2 (2) against Banker 10+2 (2); since neither side holds 8 or 9, Player draws fifth-card 3 (3) so 2+3=5 applies base-10 modular addition to 5.

[RES141-B] Because BANKER_TABLEAU[2][3]=true (2-point mandatory draw band) in [RES141], Banker 2 takes sixth-card 7 (7) and 2+7=9 settles at 9.

Complete 6-Card Resolution Trace for RES141
RES141 StageRES141 CardsRES141 Modulo MathRES141 Status
[RES141:Init]P(10+2)=2 vs B(10+2)=2playerShouldDraw(2)=true4-Card Deal
[RES141:5th]Player +3 (3)(2+3) mod 10 = 55th Card Sideways
[RES141:6th]Banker +7 (7)(2+7) mod 10 = 96-Card Final
[RES141:Settle]P=5 vs B=9Winner: BBig Road +B
  • [RES141-1] Confirm [RES141] opening P=2 (10+2) and B=2 (10+2) lack Natural 8/9.
  • [RES141-2] Add [RES141] fifth-card 3 (3) to P=2 for (2+3) mod 10 = 5.
  • [RES141-3] Run [RES141] BANKER_TABLEAU[2][3]=true to settle 5 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES141

Showdown Settlement & Scoreboard Logging for RES141 (5 vs 9)

[RES141-C8] Comparing [RES141] final totals (6c), Player 5 vs Banker 9 awards [RES141] to Banker (B), which pays 0.95:1 on 5%-commission [RES141] layouts (or 0.5:1 on 6 at No-Commission [RES141] tables) and appends B to BBPPBBPPPB.

[RES141-D3] Side-bet & road check for [RES141] (P2+3->5 vs B2->9, 6c): [RES141] leaves [RES141] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES141] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES141] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES141, Banker 2 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[2][3] = true.
MythBecause RES141 resolves as B, the next derived-road mark must match B'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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