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FINAL TOTAL RESOLUTION [RES005] · 6-CARD PROOF

Player 4 + 10 (0) vs. Banker 0 (Draws 6 (6)): 6-Card Resolution #5

In walkthrough RES005, Player opens with 2+2 (4) and draws fifth-card 10 (0) for a modulo-10 total of 4, while Banker opens with 10+K (0) and draws sixth-card 6 (6) for 6 (6-card B outcome).

RES005 Player Path
P:4->4
RES005 Banker Path
B:0->6
RES005 Deal Length
6 Cards
RES005 Showdown
B (4v6)
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 B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES005 (P4+0->4 vs B0->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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES005 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+K=0

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

RES005 Fifth-Card Modulo Proof
(4 + 0) mod 10 = 4 via 10

Player draws fifth-card 10 (value 0), transforming two-card 4 into three-card 4.

RES005 Banker Tableau Lookup
BANKER_TABLEAU[0][0] = true

Banker 0 draws sixth-card 6 (6) so (0+6) mod 10 = 6.

RES005 Card Count & Winner
6 Cards -> B (4 vs 6)

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

RES005 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 · RES005

Step-by-Step Card Arithmetic for RES005: P(2+2)+10 vs B(10+K)

Under audit [RES005], Player opens on two-card 4 (2+2) opposite Banker 0 (10+K), triggering a mandatory fifth-card pull of 10 (value 0) that settles via mod-10 arithmetic from 4 into 4.

[RES005-B] Six-card branch [RES005] activates as 10 (0) hits Banker 0's 0-point unconditional draw tier; drawing 6 (6) sends 0+6=6 to 6.

Complete 6-Card Resolution Trace for RES005
RES005 StageRES005 CardsRES005 Modulo MathRES005 Status
[RES005:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES005:5th]Player +10 (0)(4+0) mod 10 = 45th Card Sideways
[RES005:6th]Banker +6 (6)(0+6) mod 10 = 66-Card Final
[RES005:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES005-1] Confirm [RES005] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES005-2] Add [RES005] fifth-card 10 (0) to P=4 for (4+0) mod 10 = 4.
  • [RES005-3] Run [RES005] BANKER_TABLEAU[0][0]=true to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES005

Showdown Settlement & Scoreboard Logging for RES005 (4 vs 6)

[RES005-C10] Comparing [RES005] final totals (6c), Player 4 vs Banker 6 awards [RES005] to Banker (B), which pays 0.95:1 on 5%-commission [RES005] layouts (or 0.5:1 on 6 at No-Commission [RES005] tables) and appends B to BBPPBBPBPB.

[RES005-D1] Side-bet & road check for [RES005] (P4+0->4 vs B0->6, 6c): [RES005] leaves [RES005] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES005] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES005] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES005, Banker 0 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[0][0] = true.
MythBecause RES005 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