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FINAL TOTAL RESOLUTION [RES107] · 6-CARD PROOF

Player 4 + 7 (7) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #107

In walkthrough RES107, Player opens with 2+2 (4) and draws fifth-card 7 (7) for a modulo-10 total of 1, while Banker opens with 7+4 (1) and draws sixth-card 10 (0) for 1 (6-card T outcome).

RES107 Player Path
P:4->1
RES107 Banker Path
B:1->1
RES107 Deal Length
6 Cards
RES107 Showdown
T (1v1)
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 RES107 (P4+7->1 vs B1->1).

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

RES107 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

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

RES107 Fifth-Card Modulo Proof
(4 + 7) mod 10 = 1 via 7

Player draws fifth-card 7 (value 7), transforming two-card 4 into three-card 1.

RES107 Banker Tableau Lookup
BANKER_TABLEAU[1][7] = true

Banker 1 draws sixth-card 10 (0) so (1+0) mod 10 = 1.

RES107 Card Count & Winner
6 Cards -> T (1 vs 1)

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

RES107 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES107

Step-by-Step Card Arithmetic for RES107: P(2+2)+7 vs B(7+4)

Evaluating sequence [RES107], the shoe delivers 2+2 (4) to Player and 7+4 (1) to Banker; after natural checks clear, fifth-card 7 (7) maps the raw pip total mod 10 (4+7=11) to final Player total 1.

[RES107-B] Evaluating bankerShouldDraw(1, 7)=true (1-point automatic draw row) in [RES107], sixth-card 10 (0) advances Banker 1 via 1+0=1 to 1.

Complete 6-Card Resolution Trace for RES107
RES107 StageRES107 CardsRES107 Modulo MathRES107 Status
[RES107:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES107:5th]Player +7 (7)(4+7) mod 10 = 15th Card Sideways
[RES107:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES107:Settle]P=1 vs B=1Winner: TBig Road +T
  • [RES107-1] Confirm [RES107] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES107-2] Add [RES107] fifth-card 7 (7) to P=4 for (4+7) mod 10 = 1.
  • [RES107-3] Run [RES107] BANKER_TABLEAU[1][7]=true to settle 1 vs 1 (T).
SETTLEMENT & SCOREBOARD · RES107

Showdown Settlement & Scoreboard Logging for RES107 (1 vs 1)

[RES107-C3] Comparing [RES107] final totals (6c), Player 1 vs Banker 1 awards [RES107] to Tie (T), which pushes main [RES107] Player/Banker wagers while settling [RES107] Tie bets at 8:1 or 9:1 and appends T to BBPPBPPPBB.

[RES107-D9] Side-bet & road check for [RES107] (P4+7->1 vs B1->1, 6c): [RES107] leaves [RES107] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES107] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES107] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES107, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[1][7] = true.
MythBecause RES107 resolves as T, the next derived-road mark must match T'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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