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FINAL TOTAL RESOLUTION [RES017] · 6-CARD PROOF

Player 4 + 2 (2) vs. Banker 0 (Draws 4 (4)): 6-Card Resolution #17

In walkthrough RES017, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 10+K (0) and draws sixth-card 4 (4) for 4 (6-card P outcome).

RES017 Player Path
P:4->6
RES017 Banker Path
B:0->4
RES017 Deal Length
6 Cards
RES017 Showdown
P (6v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES017 (P4+2->6 vs B0->4).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES017 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.

RES017 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES017 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

Banker 0 draws sixth-card 4 (4) so (0+4) mod 10 = 4.

RES017 Card Count & Winner
6 Cards -> P (6 vs 4)

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

RES017 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 · RES017

Step-by-Step Card Arithmetic for RES017: P(2+2)+2 vs B(10+K)

During tableau case [RES017], Player holds 2+2 for 4 while Banker holds 10+K for 0; drawing fifth-card 2 (2) shifts Player from 4 to 6, which reduces mod-10 to 6.

[RES017-B] Evaluating bankerShouldDraw(0, 2)=true (0-point unconditional draw tier) in [RES017], sixth-card 4 (4) advances Banker 0 via 0+4=4 to 4.

Complete 6-Card Resolution Trace for RES017
RES017 StageRES017 CardsRES017 Modulo MathRES017 Status
[RES017:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES017:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES017:6th]Banker +4 (4)(0+4) mod 10 = 46-Card Final
[RES017:Settle]P=6 vs B=4Winner: PBig Road +P
  • [RES017-1] Confirm [RES017] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES017-2] Add [RES017] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES017-3] Run [RES017] BANKER_TABLEAU[0][2]=true to settle 6 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES017

Showdown Settlement & Scoreboard Logging for RES017 (6 vs 4)

[RES017-C4] Comparing [RES017] final totals (6c), Player 6 vs Banker 4 awards [RES017] to Player (P), which pays 1:1 even money on [RES017] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES017-D5] Side-bet & road check for [RES017] (P4+2->6 vs B0->4, 6c): [RES017] leaves [RES017] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES017] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES017] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES017, Banker 0 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES017 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

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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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