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FINAL TOTAL RESOLUTION [RES049] · 6-CARD PROOF

Player 0 + 8 (8) vs. Banker 0 (Draws 2 (2)): 6-Card Resolution #49

In walkthrough RES049, Player opens with 10+K (0) and draws fifth-card 8 (8) for a modulo-10 total of 8, while Banker opens with 10+K (0) and draws sixth-card 2 (2) for 2 (6-card P outcome).

RES049 Player Path
P:0->8
RES049 Banker Path
B:0->2
RES049 Deal Length
6 Cards
RES049 Showdown
P (8v2)
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 RES049 (P0+8->8 vs B0->2).

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

RES049 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+K=0

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,K])=0.

RES049 Fifth-Card Modulo Proof
(0 + 8) mod 10 = 8 via 8

Player draws fifth-card 8 (value 8), transforming two-card 0 into three-card 8.

RES049 Banker Tableau Lookup
BANKER_TABLEAU[0][8] = true

Banker 0 draws sixth-card 2 (2) so (0+2) mod 10 = 2.

RES049 Card Count & Winner
6 Cards -> P (8 vs 2)

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

RES049 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 · RES049

Step-by-Step Card Arithmetic for RES049: P(10+K)+8 vs B(10+K)

Matrix coordinate [RES049] isolates Player two-card 0 (10+K) and Banker 0 (10+K); dealing fifth-card 8 (8) yields raw 8 that retains the rightmost digit to 8.

[RES049-B] Because BANKER_TABLEAU[0][8]=true (0-point unconditional draw tier) in [RES049], Banker 0 takes sixth-card 2 (2) and 0+2=2 settles at 2.

Complete 6-Card Resolution Trace for RES049
RES049 StageRES049 CardsRES049 Modulo MathRES049 Status
[RES049:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES049:5th]Player +8 (8)(0+8) mod 10 = 85th Card Sideways
[RES049:6th]Banker +2 (2)(0+2) mod 10 = 26-Card Final
[RES049:Settle]P=8 vs B=2Winner: PBig Road +P
  • [RES049-1] Confirm [RES049] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES049-2] Add [RES049] fifth-card 8 (8) to P=0 for (0+8) mod 10 = 8.
  • [RES049-3] Run [RES049] BANKER_TABLEAU[0][8]=true to settle 8 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES049

Showdown Settlement & Scoreboard Logging for RES049 (8 vs 2)

[RES049-C10] Comparing [RES049] final totals (6c), Player 8 vs Banker 2 awards [RES049] to Player (P), which pays 1:1 even money on [RES049] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES049-D7] Side-bet & road check for [RES049] (P0+8->8 vs B0->2, 6c): [RES049] leaves [RES049] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and triggers [RES049] Panda 8 (winning 3-card Player 8, 25:1); on [RES049] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES049, Banker 0 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[0][8] = true.
MythBecause RES049 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
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