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FINAL TOTAL RESOLUTION [RES253] · 6-CARD PROOF

Player 0 + 2 (2) vs. Banker 4 (Draws 2 (2)): 6-Card Resolution #253

In walkthrough RES253, Player opens with 10+K (0) and draws fifth-card 2 (2) for a modulo-10 total of 2, while Banker opens with 2+2 (4) and draws sixth-card 2 (2) for 6 (6-card B outcome).

RES253 Player Path
P:0->2
RES253 Banker Path
B:4->6
RES253 Deal Length
6 Cards
RES253 Showdown
B (2v6)
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 P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES253 (P0+2->2 vs B4->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

RES253 Four-Card Opening Deal
Player 10+K=0 vs Banker 2+2=4

Verified non-natural start via handTotal([10,K])=0 and handTotal([2,2])=4.

RES253 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.

RES253 Banker Tableau Lookup
BANKER_TABLEAU[4][2] = true

Banker 4 draws sixth-card 2 (2) so (4+2) mod 10 = 6.

RES253 Card Count & Winner
6 Cards -> B (2 vs 6)

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

RES253 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES253

Step-by-Step Card Arithmetic for RES253: P(10+K)+2 vs B(2+2)

[RES253] Walkthrough #253 begins with Player holding 10+K (0) against Banker 2+2 (4); since neither side holds 8 or 9, Player draws fifth-card 2 (2) so 0+2=2 applies base-10 modular addition to 2.

[RES253-B] Six-card branch [RES253] activates as 2 (2) hits Banker 4's 4-point six-value gate (2..7); drawing 2 (2) sends 4+2=6 to 6.

Complete 6-Card Resolution Trace for RES253
RES253 StageRES253 CardsRES253 Modulo MathRES253 Status
[RES253:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES253:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES253:6th]Banker +2 (2)(4+2) mod 10 = 66-Card Final
[RES253:Settle]P=2 vs B=6Winner: BBig Road +B
  • [RES253-1] Confirm [RES253] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES253-2] Add [RES253] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES253-3] Run [RES253] BANKER_TABLEAU[4][2]=true to settle 2 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES253

Showdown Settlement & Scoreboard Logging for RES253 (2 vs 6)

[RES253-C7] Comparing [RES253] final totals (6c), Player 2 vs Banker 6 awards [RES253] to Banker (B), which pays 0.95:1 on 5%-commission [RES253] layouts (or 0.5:1 on 6 at No-Commission [RES253] tables) and appends B to BBPPBBPPPB.

[RES253-D10] Side-bet & road check for [RES253] (P0+2->2 vs B4->6, 6c): [RES253] leaves [RES253] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES253] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES253] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES253, Banker 4 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[4][2] = true.
MythBecause RES253 resolves as B, the next derived-road mark must match B'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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android