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FINAL TOTAL RESOLUTION [RES285] · 6-CARD PROOF

Player 2 + 7 (7) vs. Banker 4 (Draws 5 (5)): 6-Card Resolution #285

In walkthrough RES285, Player opens with 10+2 (2) and draws fifth-card 7 (7) for a modulo-10 total of 9, while Banker opens with 2+2 (4) and draws sixth-card 5 (5) for 9 (6-card T outcome).

RES285 Player Path
P:2->9
RES285 Banker Path
B:4->9
RES285 Deal Length
6 Cards
RES285 Showdown
T (9v9)
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 RES285 (P2+7->9 vs B4->9).

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

RES285 Four-Card Opening Deal
Player 10+2=2 vs Banker 2+2=4

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

RES285 Fifth-Card Modulo Proof
(2 + 7) mod 10 = 9 via 7

Player draws fifth-card 7 (value 7), transforming two-card 2 into three-card 9.

RES285 Banker Tableau Lookup
BANKER_TABLEAU[4][7] = true

Banker 4 draws sixth-card 5 (5) so (4+5) mod 10 = 9.

RES285 Card Count & Winner
6 Cards -> T (9 vs 9)

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

RES285 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES285

Step-by-Step Card Arithmetic for RES285: P(10+2)+7 vs B(2+2)

Under audit [RES285], Player opens on two-card 2 (10+2) opposite Banker 4 (2+2), triggering a mandatory fifth-card pull of 7 (value 7) that settles via mod-10 arithmetic from 9 into 9.

[RES285-B] Acting on 7=7 inside [RES285], Banker 4 follows 4-point six-value gate (2..7) and pulls 5 (5) for 4+5=9 -> 9.

Complete 6-Card Resolution Trace for RES285
RES285 StageRES285 CardsRES285 Modulo MathRES285 Status
[RES285:Init]P(10+2)=2 vs B(2+2)=4playerShouldDraw(2)=true4-Card Deal
[RES285:5th]Player +7 (7)(2+7) mod 10 = 95th Card Sideways
[RES285:6th]Banker +5 (5)(4+5) mod 10 = 96-Card Final
[RES285:Settle]P=9 vs B=9Winner: TBig Road +T
  • [RES285-1] Confirm [RES285] opening P=2 (10+2) and B=4 (2+2) lack Natural 8/9.
  • [RES285-2] Add [RES285] fifth-card 7 (7) to P=2 for (2+7) mod 10 = 9.
  • [RES285-3] Run [RES285] BANKER_TABLEAU[4][7]=true to settle 9 vs 9 (T).
SETTLEMENT & SCOREBOARD · RES285

Showdown Settlement & Scoreboard Logging for RES285 (9 vs 9)

[RES285-C2] Comparing [RES285] final totals (6c), Player 9 vs Banker 9 awards [RES285] to Tie (T), which pushes main [RES285] Player/Banker wagers while settling [RES285] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPPPB.

[RES285-D12] Side-bet & road check for [RES285] (P2+7->9 vs B4->9, 6c): [RES285] leaves [RES285] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES285] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES285] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES285, Banker 4 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[4][7] = true.
MythBecause RES285 resolves as T, the next derived-road mark must match T'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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