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FINAL TOTAL RESOLUTION [RES135] · 6-CARD PROOF

Player 2 + 2 (2) vs. Banker 2 (Draws 8 (8)): 6-Card Resolution #135

In walkthrough RES135, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with 10+2 (2) and draws sixth-card 8 (8) for 0 (6-card P outcome).

RES135 Player Path
P:2->4
RES135 Banker Path
B:2->0
RES135 Deal Length
6 Cards
RES135 Showdown
P (4v0)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES135 (P2+2->4 vs B2->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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES135 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+2=2

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

RES135 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

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

RES135 Banker Tableau Lookup
BANKER_TABLEAU[2][2] = true

Banker 2 draws sixth-card 8 (8) so (2+8) mod 10 = 0.

RES135 Card Count & Winner
6 Cards -> P (4 vs 0)

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

RES135 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 · RES135

Step-by-Step Card Arithmetic for RES135: P(10+2)+2 vs B(10+2)

Evaluating sequence [RES135], the shoe delivers 10+2 (2) to Player and 10+2 (2) to Banker; after natural checks clear, fifth-card 2 (2) maps the raw pip total mod 10 (2+2=4) to final Player total 4.

[RES135-B] Six-card branch [RES135] activates as 2 (2) hits Banker 2's 2-point mandatory draw band; drawing 8 (8) sends 2+8=10 to 0.

Complete 6-Card Resolution Trace for RES135
RES135 StageRES135 CardsRES135 Modulo MathRES135 Status
[RES135:Init]P(10+2)=2 vs B(10+2)=2playerShouldDraw(2)=true4-Card Deal
[RES135:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES135:6th]Banker +8 (8)(2+8) mod 10 = 06-Card Final
[RES135:Settle]P=4 vs B=0Winner: PBig Road +P
  • [RES135-1] Confirm [RES135] opening P=2 (10+2) and B=2 (10+2) lack Natural 8/9.
  • [RES135-2] Add [RES135] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES135-3] Run [RES135] BANKER_TABLEAU[2][2]=true to settle 4 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES135

Showdown Settlement & Scoreboard Logging for RES135 (4 vs 0)

[RES135-C0] Comparing [RES135] final totals (6c), Player 4 vs Banker 0 awards [RES135] to Player (P), which pays 1:1 even money on [RES135] Player boxes with zero commission deducted and appends P to BBPPBPBPPP.

[RES135-D1] Side-bet & road check for [RES135] (P2+2->4 vs B2->0, 6c): [RES135] leaves [RES135] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES135] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES135] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES135, Banker 2 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[2][2] = true.
MythBecause RES135 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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