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FINAL TOTAL RESOLUTION [RES056] · 6-CARD PROOF

Player 1 + 9 (9) vs. Banker 0 (Draws 5 (5)): 6-Card Resolution #56

In walkthrough RES056, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with 6+4 (0) and draws sixth-card 5 (5) for 5 (6-card B outcome).

RES056 Player Path
P:1->0
RES056 Banker Path
B:0->5
RES056 Deal Length
6 Cards
RES056 Showdown
B (0v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES056 (P1+9->0 vs B0->5).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES056 Four-Card Opening Deal
Player 7+4=1 vs Banker 6+4=0

Verified non-natural start via handTotal([7,4])=1 and handTotal([6,4])=0.

RES056 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES056 Banker Tableau Lookup
BANKER_TABLEAU[0][9] = true

Banker 0 draws sixth-card 5 (5) so (0+5) mod 10 = 5.

RES056 Card Count & Winner
6 Cards -> B (0 vs 5)

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

RES056 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 · RES056

Step-by-Step Card Arithmetic for RES056: P(7+4)+9 vs B(6+4)

Step-by-step proof [RES056] pairs Player 7+4 (1) with Banker 6+4 (0); because 1 sits in the 0..5 draw zone, fifth-card 9 (9) lands and 1+9=10 resolves the unit-digit sum to 0.

[RES056-B] Evaluating bankerShouldDraw(0, 9)=true (0-point unconditional draw tier) in [RES056], sixth-card 5 (5) advances Banker 0 via 0+5=5 to 5.

Complete 6-Card Resolution Trace for RES056
RES056 StageRES056 CardsRES056 Modulo MathRES056 Status
[RES056:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES056:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES056:6th]Banker +5 (5)(0+5) mod 10 = 56-Card Final
[RES056:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES056-1] Confirm [RES056] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES056-2] Add [RES056] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES056-3] Run [RES056] BANKER_TABLEAU[0][9]=true to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES056

Showdown Settlement & Scoreboard Logging for RES056 (0 vs 5)

[RES056-C1] Comparing [RES056] final totals (6c), Player 0 vs Banker 5 awards [RES056] to Banker (B), which pays 0.95:1 on 5%-commission [RES056] layouts (or 0.5:1 on 6 at No-Commission [RES056] tables) and appends B to PPBBPBPBBB.

[RES056-D5] Side-bet & road check for [RES056] (P1+9->0 vs B0->5, 6c): [RES056] leaves [RES056] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES056] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES056] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES056, Banker 0 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[0][9] = true.
MythBecause RES056 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
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