Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #54
FINAL TOTAL RESOLUTION [RES054] · 6-CARD PROOF

Player 5 + 8 (8) vs. Banker 0 (Draws 2 (2)): 6-Card Resolution #54

In walkthrough RES054, Player opens with A+4 (5) and draws fifth-card 8 (8) for a modulo-10 total of 3, while Banker opens with 6+4 (0) and draws sixth-card 2 (2) for 2 (6-card P outcome).

RES054 Player Path
P:5->3
RES054 Banker Path
B:0->2
RES054 Deal Length
6 Cards
RES054 Showdown
P (3v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES054 (P5+8->3 vs B0->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

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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES054 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES054 Fifth-Card Modulo Proof
(5 + 8) mod 10 = 3 via 8

Player draws fifth-card 8 (value 8), transforming two-card 5 into three-card 3.

RES054 Banker Tableau Lookup
BANKER_TABLEAU[0][8] = true

Banker 0 draws sixth-card 2 (2) so (0+2) mod 10 = 2.

RES054 Card Count & Winner
6 Cards -> P (3 vs 2)

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

RES054 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 · RES054

Step-by-Step Card Arithmetic for RES054: P(A+4)+8 vs B(6+4)

Floor verification [RES054] inspects Player A+4 (5) versus Banker 6+4 (0); once fifth-card 8 (8) is exposed sideways, 5+8=13 drops the tens digit to three-card 3.

[RES054-B] Under 0-point unconditional draw tier for [RES054], exposed 8 (8) obligates Banker 0 to draw 2 (2), converting 0+2=2 into 2.

Complete 6-Card Resolution Trace for RES054
RES054 StageRES054 CardsRES054 Modulo MathRES054 Status
[RES054:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES054:5th]Player +8 (8)(5+8) mod 10 = 35th Card Sideways
[RES054:6th]Banker +2 (2)(0+2) mod 10 = 26-Card Final
[RES054:Settle]P=3 vs B=2Winner: PBig Road +P
  • [RES054-1] Confirm [RES054] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES054-2] Add [RES054] fifth-card 8 (8) to P=5 for (5+8) mod 10 = 3.
  • [RES054-3] Run [RES054] BANKER_TABLEAU[0][8]=true to settle 3 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES054

Showdown Settlement & Scoreboard Logging for RES054 (3 vs 2)

[RES054-C2] Comparing [RES054] final totals (6c), Player 3 vs Banker 2 awards [RES054] to Player (P), which pays 1:1 even money on [RES054] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES054-D0] Side-bet & road check for [RES054] (P5+8->3 vs B0->2, 6c): [RES054] leaves [RES054] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES054] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES054] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES054, Banker 0 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[0][8] = true.
MythBecause RES054 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