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FINAL TOTAL RESOLUTION [RES155] · 6-CARD PROOF

Player 4 + 5 (5) vs. Banker 2 (Draws 3 (3)): 6-Card Resolution #155

In walkthrough RES155, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with 10+2 (2) and draws sixth-card 3 (3) for 5 (6-card P outcome).

RES155 Player Path
P:4->9
RES155 Banker Path
B:2->5
RES155 Deal Length
6 Cards
RES155 Showdown
P (9v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES155 (P4+5->9 vs B2->5).

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

RES155 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

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

RES155 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.

RES155 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card 3 (3) so (2+3) mod 10 = 5.

RES155 Card Count & Winner
6 Cards -> P (9 vs 5)

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

RES155 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 · RES155

Step-by-Step Card Arithmetic for RES155: P(2+2)+5 vs B(10+2)

[RES155] Walkthrough #155 begins with Player holding 2+2 (4) against Banker 10+2 (2); since neither side holds 8 or 9, Player draws fifth-card 5 (5) so 4+5=9 applies base-10 modular addition to 9.

[RES155-B] Acting on 5=5 inside [RES155], Banker 2 follows 2-point mandatory draw band and pulls 3 (3) for 2+3=5 -> 5.

Complete 6-Card Resolution Trace for RES155
RES155 StageRES155 CardsRES155 Modulo MathRES155 Status
[RES155:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES155:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES155:6th]Banker +3 (3)(2+3) mod 10 = 56-Card Final
[RES155:Settle]P=9 vs B=5Winner: PBig Road +P
  • [RES155-1] Confirm [RES155] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES155-2] Add [RES155] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES155-3] Run [RES155] BANKER_TABLEAU[2][5]=true to settle 9 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES155

Showdown Settlement & Scoreboard Logging for RES155 (9 vs 5)

[RES155-C1] Comparing [RES155] final totals (6c), Player 9 vs Banker 5 awards [RES155] to Player (P), which pays 1:1 even money on [RES155] Player boxes with zero commission deducted and appends P to BBPPBPPPBB.

[RES155-D12] Side-bet & road check for [RES155] (P4+5->9 vs B2->5, 6c): [RES155] leaves [RES155] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES155] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES155] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES155, Banker 2 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES155 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android