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FINAL TOTAL RESOLUTION [RES333] · 6-CARD PROOF

Player 2 + 5 (5) vs. Banker 5 (Draws 8 (8)): 6-Card Resolution #333

In walkthrough RES333, Player opens with 10+2 (2) and draws fifth-card 5 (5) for a modulo-10 total of 7, while Banker opens with A+4 (5) and draws sixth-card 8 (8) for 3 (6-card P outcome).

RES333 Player Path
P:2->7
RES333 Banker Path
B:5->3
RES333 Deal Length
6 Cards
RES333 Showdown
P (7v3)
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 RES333 (P2+5->7 vs B5->3).

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

RES333 Four-Card Opening Deal
Player 10+2=2 vs Banker A+4=5

Verified non-natural start via handTotal([10,2])=2 and handTotal([A,4])=5.

RES333 Fifth-Card Modulo Proof
(2 + 5) mod 10 = 7 via 5

Player draws fifth-card 5 (value 5), transforming two-card 2 into three-card 7.

RES333 Banker Tableau Lookup
BANKER_TABLEAU[5][5] = true

Banker 5 draws sixth-card 8 (8) so (5+8) mod 10 = 3.

RES333 Card Count & Winner
6 Cards -> P (7 vs 3)

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

RES333 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 · RES333

Step-by-Step Card Arithmetic for RES333: P(10+2)+5 vs B(A+4)

Shoe deal [RES333] places 10+2 (2) on Player and A+4 (5) on Banker; because 2 is below 6, Player draws 5 (5) and 7 truncates the decimal tens place to 7.

[RES333-B] Next in [RES333], Banker consults 5-point four-value window (4..7): facing fifth-card 5 (5), Banker 5 draws 8 (8) so 5+8=13 -> 3.

Complete 6-Card Resolution Trace for RES333
RES333 StageRES333 CardsRES333 Modulo MathRES333 Status
[RES333:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES333:5th]Player +5 (5)(2+5) mod 10 = 75th Card Sideways
[RES333:6th]Banker +8 (8)(5+8) mod 10 = 36-Card Final
[RES333:Settle]P=7 vs B=3Winner: PBig Road +P
  • [RES333-1] Confirm [RES333] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES333-2] Add [RES333] fifth-card 5 (5) to P=2 for (2+5) mod 10 = 7.
  • [RES333-3] Run [RES333] BANKER_TABLEAU[5][5]=true to settle 7 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES333

Showdown Settlement & Scoreboard Logging for RES333 (7 vs 3)

[RES333-C0] Comparing [RES333] final totals (6c), Player 7 vs Banker 3 awards [RES333] to Player (P), which pays 1:1 even money on [RES333] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES333-D2] Side-bet & road check for [RES333] (P2+5->7 vs B5->3, 6c): [RES333] leaves [RES333] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES333] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES333] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES333, Banker 5 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[5][5] = true.
MythBecause RES333 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android