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FINAL TOTAL RESOLUTION [RES025] · 6-CARD PROOF

Player 0 + 4 (4) vs. Banker 0 (Draws 6 (6)): 6-Card Resolution #25

In walkthrough RES025, Player opens with 10+K (0) and draws fifth-card 4 (4) 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).

RES025 Player Path
P:0->4
RES025 Banker Path
B:0->6
RES025 Deal Length
6 Cards
RES025 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES025 (P0+4->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES025 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.

RES025 Fifth-Card Modulo Proof
(0 + 4) mod 10 = 4 via 4

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

RES025 Banker Tableau Lookup
BANKER_TABLEAU[0][4] = true

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

RES025 Card Count & Winner
6 Cards -> B (4 vs 6)

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

RES025 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 · RES025

Step-by-Step Card Arithmetic for RES025: P(10+K)+4 vs B(10+K)

Shoe deal [RES025] places 10+K (0) on Player and 10+K (0) on Banker; because 0 is below 6, Player draws 4 (4) and 4 truncates the decimal tens place to 4.

[RES025-B] Acting on 4=4 inside [RES025], Banker 0 follows 0-point unconditional draw tier and pulls 6 (6) for 0+6=6 -> 6.

Complete 6-Card Resolution Trace for RES025
RES025 StageRES025 CardsRES025 Modulo MathRES025 Status
[RES025:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES025:5th]Player +4 (4)(0+4) mod 10 = 45th Card Sideways
[RES025:6th]Banker +6 (6)(0+6) mod 10 = 66-Card Final
[RES025:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES025-1] Confirm [RES025] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES025-2] Add [RES025] fifth-card 4 (4) to P=0 for (0+4) mod 10 = 4.
  • [RES025-3] Run [RES025] BANKER_TABLEAU[0][4]=true to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES025

Showdown Settlement & Scoreboard Logging for RES025 (4 vs 6)

[RES025-C0] Comparing [RES025] final totals (6c), Player 4 vs Banker 6 awards [RES025] to Banker (B), which pays 0.95:1 on 5%-commission [RES025] layouts (or 0.5:1 on 6 at No-Commission [RES025] tables) and appends B to BBPPPBBBBP.

[RES025-D12] Side-bet & road check for [RES025] (P0+4->4 vs B0->6, 6c): [RES025] leaves [RES025] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES025] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES025] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES025, Banker 0 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[0][4] = true.
MythBecause RES025 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