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FINAL TOTAL RESOLUTION [RES093] · 6-CARD PROOF

Player 2 + 5 (5) vs. Banker 1 (Draws 4 (4)): 6-Card Resolution #93

In walkthrough RES093, Player opens with 10+2 (2) and draws fifth-card 5 (5) for a modulo-10 total of 7, while Banker opens with 7+4 (1) and draws sixth-card 4 (4) for 5 (6-card P outcome).

RES093 Player Path
P:2->7
RES093 Banker Path
B:1->5
RES093 Deal Length
6 Cards
RES093 Showdown
P (7v5)
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 RES093 (P2+5->7 vs B1->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

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

RES093 Four-Card Opening Deal
Player 10+2=2 vs Banker 7+4=1

Verified non-natural start via handTotal([10,2])=2 and handTotal([7,4])=1.

RES093 Fifth-Card Modulo Proof
(2 + 5) mod 10 = 7 via 5

Player draws fifth-card 5 (value 5), transforming two-card 2 into three-card 7.

RES093 Banker Tableau Lookup
BANKER_TABLEAU[1][5] = true

Banker 1 draws sixth-card 4 (4) so (1+4) mod 10 = 5.

RES093 Card Count & Winner
6 Cards -> P (7 vs 5)

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

RES093 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES093

Step-by-Step Card Arithmetic for RES093: P(10+2)+5 vs B(7+4)

Evaluating sequence [RES093], the shoe delivers 10+2 (2) to Player and 7+4 (1) to Banker; after natural checks clear, fifth-card 5 (5) maps the raw pip total mod 10 (2+5=7) to final Player total 7.

[RES093-B] Under 1-point automatic draw row for [RES093], exposed 5 (5) obligates Banker 1 to draw 4 (4), converting 1+4=5 into 5.

Complete 6-Card Resolution Trace for RES093
RES093 StageRES093 CardsRES093 Modulo MathRES093 Status
[RES093:Init]P(10+2)=2 vs B(7+4)=1playerShouldDraw(2)=true4-Card Deal
[RES093:5th]Player +5 (5)(2+5) mod 10 = 75th Card Sideways
[RES093:6th]Banker +4 (4)(1+4) mod 10 = 56-Card Final
[RES093:Settle]P=7 vs B=5Winner: PBig Road +P
  • [RES093-1] Confirm [RES093] opening P=2 (10+2) and B=1 (7+4) lack Natural 8/9.
  • [RES093-2] Add [RES093] fifth-card 5 (5) to P=2 for (2+5) mod 10 = 7.
  • [RES093-3] Run [RES093] BANKER_TABLEAU[1][5]=true to settle 7 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES093

Showdown Settlement & Scoreboard Logging for RES093 (7 vs 5)

[RES093-C10] Comparing [RES093] final totals (6c), Player 7 vs Banker 5 awards [RES093] to Player (P), which pays 1:1 even money on [RES093] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES093-D0] Side-bet & road check for [RES093] (P2+5->7 vs B1->5, 6c): [RES093] leaves [RES093] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES093] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES093] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES093, Banker 1 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[1][5] = true.
MythBecause RES093 resolves as P, the next derived-road mark must match P'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
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