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FINAL TOTAL RESOLUTION [RES221] · 6-CARD PROOF

Player 4 + 6 (6) vs. Banker 3 (Draws 3 (3)): 6-Card Resolution #221

In walkthrough RES221, Player opens with 2+2 (4) and draws fifth-card 6 (6) for a modulo-10 total of 0, while Banker opens with 9+4 (3) and draws sixth-card 3 (3) for 6 (6-card B outcome).

RES221 Player Path
P:4->0
RES221 Banker Path
B:3->6
RES221 Deal Length
6 Cards
RES221 Showdown
B (0v6)
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 RES221 (P4+6->0 vs B3->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

RES221 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

Verified non-natural start via handTotal([2,2])=4 and handTotal([9,4])=3.

RES221 Fifth-Card Modulo Proof
(4 + 6) mod 10 = 0 via 6

Player draws fifth-card 6 (value 6), transforming two-card 4 into three-card 0.

RES221 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card 3 (3) so (3+3) mod 10 = 6.

RES221 Card Count & Winner
6 Cards -> B (0 vs 6)

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

RES221 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 · RES221

Step-by-Step Card Arithmetic for RES221: P(2+2)+6 vs B(9+4)

Shoe deal [RES221] places 2+2 (4) on Player and 9+4 (3) on Banker; because 4 is below 6, Player draws 6 (6) and 10 truncates the decimal tens place to 0.

[RES221-B] Acting on 6=6 inside [RES221], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 3 (3) for 3+3=6 -> 6.

Complete 6-Card Resolution Trace for RES221
RES221 StageRES221 CardsRES221 Modulo MathRES221 Status
[RES221:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES221:5th]Player +6 (6)(4+6) mod 10 = 05th Card Sideways
[RES221:6th]Banker +3 (3)(3+3) mod 10 = 66-Card Final
[RES221:Settle]P=0 vs B=6Winner: BBig Road +B
  • [RES221-1] Confirm [RES221] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES221-2] Add [RES221] fifth-card 6 (6) to P=4 for (4+6) mod 10 = 0.
  • [RES221-3] Run [RES221] BANKER_TABLEAU[3][6]=true to settle 0 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES221

Showdown Settlement & Scoreboard Logging for RES221 (0 vs 6)

[RES221-C1] Comparing [RES221] final totals (6c), Player 0 vs Banker 6 awards [RES221] to Banker (B), which pays 0.95:1 on 5%-commission [RES221] layouts (or 0.5:1 on 6 at No-Commission [RES221] tables) and appends B to BBPPBBPPPB.

[RES221-D8] Side-bet & road check for [RES221] (P4+6->0 vs B3->6, 6c): [RES221] leaves [RES221] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES221] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES221] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES221, Banker 3 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES221 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
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