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FINAL TOTAL RESOLUTION [RES215] · 6-CARD PROOF

Player 4 + 5 (5) vs. Banker 3 (Draws 4 (4)): 6-Card Resolution #215

In walkthrough RES215, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with 9+4 (3) and draws sixth-card 4 (4) for 7 (6-card P outcome).

RES215 Player Path
P:4->9
RES215 Banker Path
B:3->7
RES215 Deal Length
6 Cards
RES215 Showdown
P (9v7)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES215 (P4+5->9 vs B3->7).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES215 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.

RES215 Fifth-Card Modulo Proof
(4 + 5) mod 10 = 9 via 5

Player draws fifth-card 5 (value 5), transforming two-card 4 into three-card 9.

RES215 Banker Tableau Lookup
BANKER_TABLEAU[3][5] = true

Banker 3 draws sixth-card 4 (4) so (3+4) mod 10 = 7.

RES215 Card Count & Winner
6 Cards -> P (9 vs 7)

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

RES215 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 · RES215

Step-by-Step Card Arithmetic for RES215: P(2+2)+5 vs B(9+4)

Under audit [RES215], Player opens on two-card 4 (2+2) opposite Banker 3 (9+4), triggering a mandatory fifth-card pull of 5 (value 5) that settles via mod-10 arithmetic from 9 into 9.

[RES215-B] Triggered by 5 (5) in [RES215] (3-point single-shade row (0..7, 9)), Banker 3 receives 4 (4) and computes (3+4) mod 10 = 7.

Complete 6-Card Resolution Trace for RES215
RES215 StageRES215 CardsRES215 Modulo MathRES215 Status
[RES215:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES215:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES215:6th]Banker +4 (4)(3+4) mod 10 = 76-Card Final
[RES215:Settle]P=9 vs B=7Winner: PBig Road +P
  • [RES215-1] Confirm [RES215] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES215-2] Add [RES215] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES215-3] Run [RES215] BANKER_TABLEAU[3][5]=true to settle 9 vs 7 (P).
SETTLEMENT & SCOREBOARD · RES215

Showdown Settlement & Scoreboard Logging for RES215 (9 vs 7)

[RES215-C4] Comparing [RES215] final totals (6c), Player 9 vs Banker 7 awards [RES215] to Player (P), which pays 1:1 even money on [RES215] Player boxes with zero commission deducted and appends P to BBPPBPBPPP.

[RES215-D6] Side-bet & road check for [RES215] (P4+5->9 vs B3->7, 6c): [RES215] leaves [RES215] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and leaves [RES215] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES215] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES215, Banker 3 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[3][5] = true.
MythBecause RES215 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
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