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FINAL TOTAL RESOLUTION [RES220] · 6-CARD PROOF

Player 3 + 6 (6) vs. Banker 3 (Draws 9 (9)): 6-Card Resolution #220

In walkthrough RES220, Player opens with 9+4 (3) and draws fifth-card 6 (6) for a modulo-10 total of 9, while Banker opens with 10+3 (3) and draws sixth-card 9 (9) for 2 (6-card P outcome).

RES220 Player Path
P:3->9
RES220 Banker Path
B:3->2
RES220 Deal Length
6 Cards
RES220 Showdown
P (9v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES220 (P3+6->9 vs B3->2).

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

RES220 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES220 Fifth-Card Modulo Proof
(3 + 6) mod 10 = 9 via 6

Player draws fifth-card 6 (value 6), transforming two-card 3 into three-card 9.

RES220 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card 9 (9) so (3+9) mod 10 = 2.

RES220 Card Count & Winner
6 Cards -> P (9 vs 2)

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

RES220 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 · RES220

Step-by-Step Card Arithmetic for RES220: P(9+4)+6 vs B(10+3)

In coup [RES220], initial cards deal 9+4=3 to Player and 10+3=3 to Banker; lacking a four-card natural, Player takes fifth-card 6 (6) where raw sum 9 projects onto the 0..9 ring to 9.

[RES220-B] Acting on 6=6 inside [RES220], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 9 (9) for 3+9=12 -> 2.

Complete 6-Card Resolution Trace for RES220
RES220 StageRES220 CardsRES220 Modulo MathRES220 Status
[RES220:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES220:5th]Player +6 (6)(3+6) mod 10 = 95th Card Sideways
[RES220:6th]Banker +9 (9)(3+9) mod 10 = 26-Card Final
[RES220:Settle]P=9 vs B=2Winner: PBig Road +P
  • [RES220-1] Confirm [RES220] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES220-2] Add [RES220] fifth-card 6 (6) to P=3 for (3+6) mod 10 = 9.
  • [RES220-3] Run [RES220] BANKER_TABLEAU[3][6]=true to settle 9 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES220

Showdown Settlement & Scoreboard Logging for RES220 (9 vs 2)

[RES220-C7] Comparing [RES220] final totals (6c), Player 9 vs Banker 2 awards [RES220] to Player (P), which pays 1:1 even money on [RES220] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES220-D12] Side-bet & road check for [RES220] (P3+6->9 vs B3->2, 6c): [RES220] leaves [RES220] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES220] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES220] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES220, Banker 3 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES220 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

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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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