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FINAL TOTAL RESOLUTION [RES113] · 6-CARD PROOF

Player 4 + 8 (8) vs. Banker 1 (Draws 9 (9)): 6-Card Resolution #113

In walkthrough RES113, Player opens with 2+2 (4) and draws fifth-card 8 (8) for a modulo-10 total of 2, while Banker opens with 7+4 (1) and draws sixth-card 9 (9) for 0 (6-card P outcome).

RES113 Player Path
P:4->2
RES113 Banker Path
B:1->0
RES113 Deal Length
6 Cards
RES113 Showdown
P (2v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES113 (P4+8->2 vs B1->0).

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES113 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.

RES113 Fifth-Card Modulo Proof
(4 + 8) mod 10 = 2 via 8

Player draws fifth-card 8 (value 8), transforming two-card 4 into three-card 2.

RES113 Banker Tableau Lookup
BANKER_TABLEAU[1][8] = true

Banker 1 draws sixth-card 9 (9) so (1+9) mod 10 = 0.

RES113 Card Count & Winner
6 Cards -> P (2 vs 0)

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

RES113 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 · RES113

Step-by-Step Card Arithmetic for RES113: P(2+2)+8 vs B(7+4)

[RES113] Walkthrough #113 begins with Player holding 2+2 (4) against Banker 7+4 (1); since neither side holds 8 or 9, Player draws fifth-card 8 (8) so 4+8=12 applies base-10 modular addition to 2.

[RES113-B] Next in [RES113], Banker consults 1-point automatic draw row: facing fifth-card 8 (8), Banker 1 draws 9 (9) so 1+9=10 -> 0.

Complete 6-Card Resolution Trace for RES113
RES113 StageRES113 CardsRES113 Modulo MathRES113 Status
[RES113:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES113:5th]Player +8 (8)(4+8) mod 10 = 25th Card Sideways
[RES113:6th]Banker +9 (9)(1+9) mod 10 = 06-Card Final
[RES113:Settle]P=2 vs B=0Winner: PBig Road +P
  • [RES113-1] Confirm [RES113] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES113-2] Add [RES113] fifth-card 8 (8) to P=4 for (4+8) mod 10 = 2.
  • [RES113-3] Run [RES113] BANKER_TABLEAU[1][8]=true to settle 2 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES113

Showdown Settlement & Scoreboard Logging for RES113 (2 vs 0)

[RES113-C0] Comparing [RES113] final totals (6c), Player 2 vs Banker 0 awards [RES113] to Player (P), which pays 1:1 even money on [RES113] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES113-D11] Side-bet & road check for [RES113] (P4+8->2 vs B1->0, 6c): [RES113] leaves [RES113] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES113] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES113] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES113, Banker 1 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[1][8] = true.
MythBecause RES113 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

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
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