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FINAL TOTAL RESOLUTION [RES133] · 6-CARD PROOF

Player 0 + 2 (2) vs. Banker 2 (Draws 10 (0)): 6-Card Resolution #133

In walkthrough RES133, Player opens with 10+K (0) and draws fifth-card 2 (2) for a modulo-10 total of 2, while Banker opens with 10+2 (2) and draws sixth-card 10 (0) for 2 (6-card T outcome).

RES133 Player Path
P:0->2
RES133 Banker Path
B:2->2
RES133 Deal Length
6 Cards
RES133 Showdown
T (2v2)
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 B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES133 (P0+2->2 vs B2->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

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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES133 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,2])=2.

RES133 Fifth-Card Modulo Proof
(0 + 2) mod 10 = 2 via 2

Player draws fifth-card 2 (value 2), transforming two-card 0 into three-card 2.

RES133 Banker Tableau Lookup
BANKER_TABLEAU[2][2] = true

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

RES133 Card Count & Winner
6 Cards -> T (2 vs 2)

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

RES133 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 · RES133

Step-by-Step Card Arithmetic for RES133: P(10+K)+2 vs B(10+2)

Matrix coordinate [RES133] isolates Player two-card 0 (10+K) and Banker 2 (10+2); dealing fifth-card 2 (2) yields raw 2 that retains the rightmost digit to 2.

[RES133-B] Evaluating bankerShouldDraw(2, 2)=true (2-point mandatory draw band) in [RES133], sixth-card 10 (0) advances Banker 2 via 2+0=2 to 2.

Complete 6-Card Resolution Trace for RES133
RES133 StageRES133 CardsRES133 Modulo MathRES133 Status
[RES133:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES133:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES133:6th]Banker +10 (0)(2+0) mod 10 = 26-Card Final
[RES133:Settle]P=2 vs B=2Winner: TBig Road +T
  • [RES133-1] Confirm [RES133] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES133-2] Add [RES133] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES133-3] Run [RES133] BANKER_TABLEAU[2][2]=true to settle 2 vs 2 (T).
SETTLEMENT & SCOREBOARD · RES133

Showdown Settlement & Scoreboard Logging for RES133 (2 vs 2)

[RES133-C1] Comparing [RES133] final totals (6c), Player 2 vs Banker 2 awards [RES133] to Tie (T), which pushes main [RES133] Player/Banker wagers while settling [RES133] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPBPB.

[RES133-D9] Side-bet & road check for [RES133] (P0+2->2 vs B2->2, 6c): [RES133] leaves [RES133] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES133] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES133] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES133, Banker 2 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[2][2] = true.
MythBecause RES133 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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