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FINAL TOTAL RESOLUTION [RES091] · 6-CARD PROOF

Player 0 + 5 (5) vs. Banker 1 (Draws 6 (6)): 6-Card Resolution #91

In walkthrough RES091, Player opens with 10+K (0) and draws fifth-card 5 (5) for a modulo-10 total of 5, while Banker opens with 7+4 (1) and draws sixth-card 6 (6) for 7 (6-card B outcome).

RES091 Player Path
P:0->5
RES091 Banker Path
B:1->7
RES091 Deal Length
6 Cards
RES091 Showdown
B (5v7)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES091 (P0+5->5 vs B1->7).

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

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

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

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

RES091 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.

RES091 Fifth-Card Modulo Proof
(0 + 5) mod 10 = 5 via 5

Player draws fifth-card 5 (value 5), transforming two-card 0 into three-card 5.

RES091 Banker Tableau Lookup
BANKER_TABLEAU[1][5] = true

Banker 1 draws sixth-card 6 (6) so (1+6) mod 10 = 7.

RES091 Card Count & Winner
6 Cards -> B (5 vs 7)

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

RES091 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 · RES091

Step-by-Step Card Arithmetic for RES091: P(10+K)+5 vs B(7+4)

Matrix coordinate [RES091] isolates Player two-card 0 (10+K) and Banker 1 (7+4); dealing fifth-card 5 (5) yields raw 5 that retains the rightmost digit to 5.

[RES091-B] Acting on 5=5 inside [RES091], Banker 1 follows 1-point automatic draw row and pulls 6 (6) for 1+6=7 -> 7.

Complete 6-Card Resolution Trace for RES091
RES091 StageRES091 CardsRES091 Modulo MathRES091 Status
[RES091:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES091:5th]Player +5 (5)(0+5) mod 10 = 55th Card Sideways
[RES091:6th]Banker +6 (6)(1+6) mod 10 = 76-Card Final
[RES091:Settle]P=5 vs B=7Winner: BBig Road +B
  • [RES091-1] Confirm [RES091] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES091-2] Add [RES091] fifth-card 5 (5) to P=0 for (0+5) mod 10 = 5.
  • [RES091-3] Run [RES091] BANKER_TABLEAU[1][5]=true to settle 5 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES091

Showdown Settlement & Scoreboard Logging for RES091 (5 vs 7)

[RES091-C0] Comparing [RES091] final totals (6c), Player 5 vs Banker 7 awards [RES091] to Banker (B), which pays 0.95:1 on 5%-commission [RES091] layouts (or 0.5:1 on 6 at No-Commission [RES091] tables) and appends B to BBPPBPPPBB.

[RES091-D8] Side-bet & road check for [RES091] (P0+5->5 vs B1->7, 6c): [RES091] triggers [RES091] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES091] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES091] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES091, Banker 1 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[1][5] = true.
MythBecause RES091 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
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