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FINAL TOTAL RESOLUTION [RES085] · 6-CARD PROOF

Player 0 + 4 (4) vs. Banker 1 (Draws 7 (7)): 6-Card Resolution #85

In walkthrough RES085, Player opens with 10+K (0) and draws fifth-card 4 (4) for a modulo-10 total of 4, while Banker opens with 7+4 (1) and draws sixth-card 7 (7) for 8 (6-card B outcome).

RES085 Player Path
P:0->4
RES085 Banker Path
B:1->8
RES085 Deal Length
6 Cards
RES085 Showdown
B (4v8)
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 B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES085 (P0+4->4 vs B1->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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES085 Four-Card Opening Deal
Player 10+K=0 vs Banker 7+4=1

Verified non-natural start via handTotal([10,K])=0 and handTotal([7,4])=1.

RES085 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.

RES085 Banker Tableau Lookup
BANKER_TABLEAU[1][4] = true

Banker 1 draws sixth-card 7 (7) so (1+7) mod 10 = 8.

RES085 Card Count & Winner
6 Cards -> B (4 vs 8)

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

RES085 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 · RES085

Step-by-Step Card Arithmetic for RES085: P(10+K)+4 vs B(7+4)

[RES085] Walkthrough #85 begins with Player holding 10+K (0) against Banker 7+4 (1); since neither side holds 8 or 9, Player draws fifth-card 4 (4) so 0+4=4 applies base-10 modular addition to 4.

[RES085-B] Triggered by 4 (4) in [RES085] (1-point automatic draw row), Banker 1 receives 7 (7) and computes (1+7) mod 10 = 8.

Complete 6-Card Resolution Trace for RES085
RES085 StageRES085 CardsRES085 Modulo MathRES085 Status
[RES085:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES085:5th]Player +4 (4)(0+4) mod 10 = 45th Card Sideways
[RES085:6th]Banker +7 (7)(1+7) mod 10 = 86-Card Final
[RES085:Settle]P=4 vs B=8Winner: BBig Road +B
  • [RES085-1] Confirm [RES085] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES085-2] Add [RES085] fifth-card 4 (4) to P=0 for (0+4) mod 10 = 4.
  • [RES085-3] Run [RES085] BANKER_TABLEAU[1][4]=true to settle 4 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES085

Showdown Settlement & Scoreboard Logging for RES085 (4 vs 8)

[RES085-C3] Comparing [RES085] final totals (6c), Player 4 vs Banker 8 awards [RES085] to Banker (B), which pays 0.95:1 on 5%-commission [RES085] layouts (or 0.5:1 on 6 at No-Commission [RES085] tables) and appends B to BBPPBBPBPB.

[RES085-D6] Side-bet & road check for [RES085] (P0+4->4 vs B1->8, 6c): [RES085] leaves [RES085] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES085] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES085] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES085, Banker 1 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[1][4] = true.
MythBecause RES085 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