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FINAL TOTAL RESOLUTION [RES089] · 6-CARD PROOF

Player 4 + 4 (4) vs. Banker 1 (Draws 3 (3)): 6-Card Resolution #89

In walkthrough RES089, Player opens with 2+2 (4) and draws fifth-card 4 (4) for a modulo-10 total of 8, while Banker opens with 7+4 (1) and draws sixth-card 3 (3) for 4 (6-card P outcome).

RES089 Player Path
P:4->8
RES089 Banker Path
B:1->4
RES089 Deal Length
6 Cards
RES089 Showdown
P (8v4)
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 RES089 (P4+4->8 vs B1->4).

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

RES089 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

Verified non-natural start via handTotal([2,2])=4 and handTotal([7,4])=1.

RES089 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.

RES089 Banker Tableau Lookup
BANKER_TABLEAU[1][4] = true

Banker 1 draws sixth-card 3 (3) so (1+3) mod 10 = 4.

RES089 Card Count & Winner
6 Cards -> P (8 vs 4)

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

RES089 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 · RES089

Step-by-Step Card Arithmetic for RES089: P(2+2)+4 vs B(7+4)

Under audit [RES089], Player opens on two-card 4 (2+2) opposite Banker 1 (7+4), triggering a mandatory fifth-card pull of 4 (value 4) that settles via mod-10 arithmetic from 8 into 8.

[RES089-B] Because BANKER_TABLEAU[1][4]=true (1-point automatic draw row) in [RES089], Banker 1 takes sixth-card 3 (3) and 1+3=4 settles at 4.

Complete 6-Card Resolution Trace for RES089
RES089 StageRES089 CardsRES089 Modulo MathRES089 Status
[RES089:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES089:5th]Player +4 (4)(4+4) mod 10 = 85th Card Sideways
[RES089:6th]Banker +3 (3)(1+3) mod 10 = 46-Card Final
[RES089:Settle]P=8 vs B=4Winner: PBig Road +P
  • [RES089-1] Confirm [RES089] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES089-2] Add [RES089] fifth-card 4 (4) to P=4 for (4+4) mod 10 = 8.
  • [RES089-3] Run [RES089] BANKER_TABLEAU[1][4]=true to settle 8 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES089

Showdown Settlement & Scoreboard Logging for RES089 (8 vs 4)

[RES089-C1] Comparing [RES089] final totals (6c), Player 8 vs Banker 4 awards [RES089] to Player (P), which pays 1:1 even money on [RES089] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES089-D3] Side-bet & road check for [RES089] (P4+4->8 vs B1->4, 6c): [RES089] leaves [RES089] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and triggers [RES089] Panda 8 (winning 3-card Player 8, 25:1); on [RES089] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES089, Banker 1 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[1][4] = true.
MythBecause RES089 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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