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FINAL TOTAL RESOLUTION [RES182] · 6-CARD PROOF

Player 1 + 10 (0) vs. Banker 3 (Draws 7 (7)): 6-Card Resolution #182

In walkthrough RES182, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with 10+3 (3) and draws sixth-card 7 (7) for 0 (6-card P outcome).

RES182 Player Path
P:1->1
RES182 Banker Path
B:3->0
RES182 Deal Length
6 Cards
RES182 Showdown
P (1v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P P B P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES182 (P1+0->1 vs B3->0).

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

RES182 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES182 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES182 Banker Tableau Lookup
BANKER_TABLEAU[3][0] = true

Banker 3 draws sixth-card 7 (7) so (3+7) mod 10 = 0.

RES182 Card Count & Winner
6 Cards -> P (1 vs 0)

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

RES182 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 · RES182

Step-by-Step Card Arithmetic for RES182: P(7+4)+10 vs B(10+3)

Step-by-step proof [RES182] pairs Player 7+4 (1) with Banker 10+3 (3); because 1 sits in the 0..5 draw zone, fifth-card 10 (0) lands and 1+0=1 resolves the unit-digit sum to 1.

[RES182-B] Acting on 10=0 inside [RES182], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 7 (7) for 3+7=10 -> 0.

Complete 6-Card Resolution Trace for RES182
RES182 StageRES182 CardsRES182 Modulo MathRES182 Status
[RES182:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES182:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES182:6th]Banker +7 (7)(3+7) mod 10 = 06-Card Final
[RES182:Settle]P=1 vs B=0Winner: PBig Road +P
  • [RES182-1] Confirm [RES182] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES182-2] Add [RES182] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES182-3] Run [RES182] BANKER_TABLEAU[3][0]=true to settle 1 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES182

Showdown Settlement & Scoreboard Logging for RES182 (1 vs 0)

[RES182-C4] Comparing [RES182] final totals (6c), Player 1 vs Banker 0 awards [RES182] to Player (P), which pays 1:1 even money on [RES182] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES182-D8] Side-bet & road check for [RES182] (P1+0->1 vs B3->0, 6c): [RES182] leaves [RES182] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES182] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES182] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES182, Banker 3 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[3][0] = true.
MythBecause RES182 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

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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