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FINAL TOTAL RESOLUTION [RES028] · 6-CARD PROOF

Player 3 + 4 (4) vs. Banker 0 (Draws 8 (8)): 6-Card Resolution #28

In walkthrough RES028, Player opens with 9+4 (3) and draws fifth-card 4 (4) for a modulo-10 total of 7, while Banker opens with 6+4 (0) and draws sixth-card 8 (8) for 8 (6-card B outcome).

RES028 Player Path
P:3->7
RES028 Banker Path
B:0->8
RES028 Deal Length
6 Cards
RES028 Showdown
B (7v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P B B B P P P P B P P B B P P B
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard sequence paired with 6-card resolution RES028 (P3+4->7 vs B0->8).

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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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

RES028 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES028 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES028 Banker Tableau Lookup
BANKER_TABLEAU[0][4] = true

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

RES028 Card Count & Winner
6 Cards -> B (7 vs 8)

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

RES028 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 · RES028

Step-by-Step Card Arithmetic for RES028: P(9+4)+4 vs B(6+4)

Step-by-step proof [RES028] pairs Player 9+4 (3) with Banker 6+4 (0); because 3 sits in the 0..5 draw zone, fifth-card 4 (4) lands and 3+4=7 resolves the unit-digit sum to 7.

[RES028-B] Under 0-point unconditional draw tier for [RES028], exposed 4 (4) obligates Banker 0 to draw 8 (8), converting 0+8=8 into 8.

Complete 6-Card Resolution Trace for RES028
RES028 StageRES028 CardsRES028 Modulo MathRES028 Status
[RES028:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES028:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES028:6th]Banker +8 (8)(0+8) mod 10 = 86-Card Final
[RES028:Settle]P=7 vs B=8Winner: BBig Road +B
  • [RES028-1] Confirm [RES028] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES028-2] Add [RES028] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES028-3] Run [RES028] BANKER_TABLEAU[0][4]=true to settle 7 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES028

Showdown Settlement & Scoreboard Logging for RES028 (7 vs 8)

[RES028-C4] Comparing [RES028] final totals (6c), Player 7 vs Banker 8 awards [RES028] to Banker (B), which pays 0.95:1 on 5%-commission [RES028] layouts (or 0.5:1 on 6 at No-Commission [RES028] tables) and appends B to PPBBPBBBPP.

[RES028-D0] Side-bet & road check for [RES028] (P3+4->7 vs B0->8, 6c): [RES028] leaves [RES028] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES028] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES028] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES028, Banker 0 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[0][4] = true.
MythBecause RES028 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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