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FINAL TOTAL RESOLUTION [RES157] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 2 (Draws 6 (6)): 6-Card Resolution #157

In walkthrough RES157, Player opens with 10+K (0) and draws fifth-card 6 (6) for a modulo-10 total of 6, while Banker opens with 10+2 (2) and draws sixth-card 6 (6) for 8 (6-card B outcome).

RES157 Player Path
P:0->6
RES157 Banker Path
B:2->8
RES157 Deal Length
6 Cards
RES157 Showdown
B (6v8)
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 RES157 (P0+6->6 vs B2->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

RES157 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,2])=2.

RES157 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES157 Banker Tableau Lookup
BANKER_TABLEAU[2][6] = true

Banker 2 draws sixth-card 6 (6) so (2+6) mod 10 = 8.

RES157 Card Count & Winner
6 Cards -> B (6 vs 8)

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

RES157 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 · RES157

Step-by-Step Card Arithmetic for RES157: P(10+K)+6 vs B(10+2)

During tableau case [RES157], Player holds 10+K for 0 while Banker holds 10+2 for 2; drawing fifth-card 6 (6) shifts Player from 0 to 6, which reduces mod-10 to 6.

[RES157-B] Under 2-point mandatory draw band for [RES157], exposed 6 (6) obligates Banker 2 to draw 6 (6), converting 2+6=8 into 8.

Complete 6-Card Resolution Trace for RES157
RES157 StageRES157 CardsRES157 Modulo MathRES157 Status
[RES157:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES157:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES157:6th]Banker +6 (6)(2+6) mod 10 = 86-Card Final
[RES157:Settle]P=6 vs B=8Winner: BBig Road +B
  • [RES157-1] Confirm [RES157] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES157-2] Add [RES157] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES157-3] Run [RES157] BANKER_TABLEAU[2][6]=true to settle 6 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES157

Showdown Settlement & Scoreboard Logging for RES157 (6 vs 8)

[RES157-C0] Comparing [RES157] final totals (6c), Player 6 vs Banker 8 awards [RES157] to Banker (B), which pays 0.95:1 on 5%-commission [RES157] layouts (or 0.5:1 on 6 at No-Commission [RES157] tables) and appends B to BBPPBBPPPB.

[RES157-D4] Side-bet & road check for [RES157] (P0+6->6 vs B2->8, 6c): [RES157] leaves [RES157] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES157] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES157] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES157, Banker 2 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[2][6] = true.
MythBecause RES157 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