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FINAL TOTAL RESOLUTION [RES015] · 6-CARD PROOF

Player 2 + 2 (2) vs. Banker 0 (Draws 6 (6)): 6-Card Resolution #15

In walkthrough RES015, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with 10+K (0) and draws sixth-card 6 (6) for 6 (6-card B outcome).

RES015 Player Path
P:2->4
RES015 Banker Path
B:0->6
RES015 Deal Length
6 Cards
RES015 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES015 (P2+2->4 vs B0->6).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

RES015 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.

RES015 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

Player draws fifth-card 2 (value 2), transforming two-card 2 into three-card 4.

RES015 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

Banker 0 draws sixth-card 6 (6) so (0+6) mod 10 = 6.

RES015 Card Count & Winner
6 Cards -> B (4 vs 6)

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

RES015 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 · RES015

Step-by-Step Card Arithmetic for RES015: P(10+2)+2 vs B(10+K)

[RES015] Walkthrough #15 begins with Player holding 10+2 (2) against Banker 10+K (0); since neither side holds 8 or 9, Player draws fifth-card 2 (2) so 2+2=4 applies base-10 modular addition to 4.

[RES015-B] Under 0-point unconditional draw tier for [RES015], exposed 2 (2) obligates Banker 0 to draw 6 (6), converting 0+6=6 into 6.

Complete 6-Card Resolution Trace for RES015
RES015 StageRES015 CardsRES015 Modulo MathRES015 Status
[RES015:Init]P(10+2)=2 vs B(10+K)=0playerShouldDraw(2)=true4-Card Deal
[RES015:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES015:6th]Banker +6 (6)(0+6) mod 10 = 66-Card Final
[RES015:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES015-1] Confirm [RES015] opening P=2 (10+2) and B=0 (10+K) lack Natural 8/9.
  • [RES015-2] Add [RES015] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES015-3] Run [RES015] BANKER_TABLEAU[0][2]=true to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES015

Showdown Settlement & Scoreboard Logging for RES015 (4 vs 6)

[RES015-C5] Comparing [RES015] final totals (6c), Player 4 vs Banker 6 awards [RES015] to Banker (B), which pays 0.95:1 on 5%-commission [RES015] layouts (or 0.5:1 on 6 at No-Commission [RES015] tables) and appends B to BBPPBPBBPB.

[RES015-D0] Side-bet & road check for [RES015] (P2+2->4 vs B0->6, 6c): [RES015] leaves [RES015] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES015] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES015] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES015, Banker 0 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES015 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android