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FINAL TOTAL RESOLUTION [RES013] · 6-CARD PROOF

Player 0 + 2 (2) vs. Banker 0 (Draws 8 (8)): 6-Card Resolution #13

In walkthrough RES013, Player opens with 10+K (0) and draws fifth-card 2 (2) for a modulo-10 total of 2, while Banker opens with 10+K (0) and draws sixth-card 8 (8) for 8 (6-card B outcome).

RES013 Player Path
P:0->2
RES013 Banker Path
B:0->8
RES013 Deal Length
6 Cards
RES013 Showdown
B (2v8)
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 RES013 (P0+2->2 vs B0->8).

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

RES013 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+K=0

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

RES013 Fifth-Card Modulo Proof
(0 + 2) mod 10 = 2 via 2

Player draws fifth-card 2 (value 2), transforming two-card 0 into three-card 2.

RES013 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

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

RES013 Card Count & Winner
6 Cards -> B (2 vs 8)

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

RES013 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 · RES013

Step-by-Step Card Arithmetic for RES013: P(10+K)+2 vs B(10+K)

Hand record [RES013] tracks Player 0 (10+K) facing Banker 0 (10+K); with zero naturals on the felt, the fifth card 2 (worth 2) arrives and 2 calculates the mod-10 residue to 2.

[RES013-B] Acting on 2=2 inside [RES013], Banker 0 follows 0-point unconditional draw tier and pulls 8 (8) for 0+8=8 -> 8.

Complete 6-Card Resolution Trace for RES013
RES013 StageRES013 CardsRES013 Modulo MathRES013 Status
[RES013:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES013:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES013:6th]Banker +8 (8)(0+8) mod 10 = 86-Card Final
[RES013:Settle]P=2 vs B=8Winner: BBig Road +B
  • [RES013-1] Confirm [RES013] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES013-2] Add [RES013] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES013-3] Run [RES013] BANKER_TABLEAU[0][2]=true to settle 2 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES013

Showdown Settlement & Scoreboard Logging for RES013 (2 vs 8)

[RES013-C6] Comparing [RES013] final totals (6c), Player 2 vs Banker 8 awards [RES013] to Banker (B), which pays 0.95:1 on 5%-commission [RES013] layouts (or 0.5:1 on 6 at No-Commission [RES013] tables) and appends B to BBPPBBPPPB.

[RES013-D8] Side-bet & road check for [RES013] (P0+2->2 vs B0->8, 6c): [RES013] leaves [RES013] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES013] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES013] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES013, Banker 0 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES013 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

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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