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FINAL TOTAL RESOLUTION [RES009] · 6-CARD PROOF

Player 2 + A (1) vs. Banker 0 (Draws 7 (7)): 6-Card Resolution #9

In walkthrough RES009, Player opens with 10+2 (2) and draws fifth-card A (1) for a modulo-10 total of 3, while Banker opens with 10+K (0) and draws sixth-card 7 (7) for 7 (6-card B outcome).

RES009 Player Path
P:2->3
RES009 Banker Path
B:0->7
RES009 Deal Length
6 Cards
RES009 Showdown
B (3v7)
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 RES009 (P2+1->3 vs B0->7).

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

RES009 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+K=0

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

RES009 Fifth-Card Modulo Proof
(2 + 1) mod 10 = 3 via A

Player draws fifth-card A (value 1), transforming two-card 2 into three-card 3.

RES009 Banker Tableau Lookup
BANKER_TABLEAU[0][1] = true

Banker 0 draws sixth-card 7 (7) so (0+7) mod 10 = 7.

RES009 Card Count & Winner
6 Cards -> B (3 vs 7)

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

RES009 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 · RES009

Step-by-Step Card Arithmetic for RES009: P(10+2)+A vs B(10+K)

Evaluating sequence [RES009], the shoe delivers 10+2 (2) to Player and 10+K (0) to Banker; after natural checks clear, fifth-card A (1) maps the raw pip total mod 10 (2+1=3) to final Player total 3.

[RES009-B] Next in [RES009], Banker consults 0-point unconditional draw tier: facing fifth-card A (1), Banker 0 draws 7 (7) so 0+7=7 -> 7.

Complete 6-Card Resolution Trace for RES009
RES009 StageRES009 CardsRES009 Modulo MathRES009 Status
[RES009:Init]P(10+2)=2 vs B(10+K)=0playerShouldDraw(2)=true4-Card Deal
[RES009:5th]Player +A (1)(2+1) mod 10 = 35th Card Sideways
[RES009:6th]Banker +7 (7)(0+7) mod 10 = 76-Card Final
[RES009:Settle]P=3 vs B=7Winner: BBig Road +B
  • [RES009-1] Confirm [RES009] opening P=2 (10+2) and B=0 (10+K) lack Natural 8/9.
  • [RES009-2] Add [RES009] fifth-card A (1) to P=2 for (2+1) mod 10 = 3.
  • [RES009-3] Run [RES009] BANKER_TABLEAU[0][1]=true to settle 3 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES009

Showdown Settlement & Scoreboard Logging for RES009 (3 vs 7)

[RES009-C8] Comparing [RES009] final totals (6c), Player 3 vs Banker 7 awards [RES009] to Banker (B), which pays 0.95:1 on 5%-commission [RES009] layouts (or 0.5:1 on 6 at No-Commission [RES009] tables) and appends B to BBPPPBBBBP.

[RES009-D11] Side-bet & road check for [RES009] (P2+1->3 vs B0->7, 6c): [RES009] triggers [RES009] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES009] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES009] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES009, Banker 0 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[0][1] = true.
MythBecause RES009 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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