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FINAL TOTAL RESOLUTION [RES125] · 6-CARD PROOF

Player 4 + 10 (0) vs. Banker 2 (Draws 8 (8)): 6-Card Resolution #125

In walkthrough RES125, Player opens with 2+2 (4) and draws fifth-card 10 (0) for a modulo-10 total of 4, while Banker opens with 10+2 (2) and draws sixth-card 8 (8) for 0 (6-card P outcome).

RES125 Player Path
P:4->4
RES125 Banker Path
B:2->0
RES125 Deal Length
6 Cards
RES125 Showdown
P (4v0)
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 RES125 (P4+0->4 vs B2->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

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

RES125 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.

RES125 Fifth-Card Modulo Proof
(4 + 0) mod 10 = 4 via 10

Player draws fifth-card 10 (value 0), transforming two-card 4 into three-card 4.

RES125 Banker Tableau Lookup
BANKER_TABLEAU[2][0] = true

Banker 2 draws sixth-card 8 (8) so (2+8) mod 10 = 0.

RES125 Card Count & Winner
6 Cards -> P (4 vs 0)

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

RES125 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 · RES125

Step-by-Step Card Arithmetic for RES125: P(2+2)+10 vs B(10+2)

Hand record [RES125] tracks Player 4 (2+2) facing Banker 2 (10+2); with zero naturals on the felt, the fifth card 10 (worth 0) arrives and 4 calculates the mod-10 residue to 4.

[RES125-B] Next in [RES125], Banker consults 2-point mandatory draw band: facing fifth-card 10 (0), Banker 2 draws 8 (8) so 2+8=10 -> 0.

Complete 6-Card Resolution Trace for RES125
RES125 StageRES125 CardsRES125 Modulo MathRES125 Status
[RES125:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES125:5th]Player +10 (0)(4+0) mod 10 = 45th Card Sideways
[RES125:6th]Banker +8 (8)(2+8) mod 10 = 06-Card Final
[RES125:Settle]P=4 vs B=0Winner: PBig Road +P
  • [RES125-1] Confirm [RES125] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES125-2] Add [RES125] fifth-card 10 (0) to P=4 for (4+0) mod 10 = 4.
  • [RES125-3] Run [RES125] BANKER_TABLEAU[2][0]=true to settle 4 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES125

Showdown Settlement & Scoreboard Logging for RES125 (4 vs 0)

[RES125-C5] Comparing [RES125] final totals (6c), Player 4 vs Banker 0 awards [RES125] to Player (P), which pays 1:1 even money on [RES125] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES125-D2] Side-bet & road check for [RES125] (P4+0->4 vs B2->0, 6c): [RES125] leaves [RES125] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES125] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES125] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES125, Banker 2 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[2][0] = true.
MythBecause RES125 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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