Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #354
FINAL TOTAL RESOLUTION [RES354] · 5-CARD PROOF

Player 5 + 8 (8) vs. Banker 5 (Stands at 5): 5-Card Resolution #354

In walkthrough RES354, Player opens with A+4 (5) and draws fifth-card 8 (8) for a modulo-10 total of 3, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES354 Player Path
P:5->3
RES354 Banker Path
B:5->5
RES354 Deal Length
5 Cards
RES354 Showdown
B (3v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES354 (P5+8->3 vs B5->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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES354 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,3])=5.

RES354 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.

RES354 Banker Tableau Lookup
BANKER_TABLEAU[5][8] = false

Banker 5 stands pat at 5 without pulling sixth-card 7 (7).

RES354 Card Count & Winner
5 Cards -> B (3 vs 5)

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

RES354 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES354

Step-by-Step Card Arithmetic for RES354: P(A+4)+8 vs B(2+3)

Within resolution [RES354], Player's opening A+4 totals 5 against Banker's 2+3 (5); Punto Banco rules require drawing 8 (8), and 5+8=13 extracts the terminal digit to 3.

[RES354-B] Evaluating bankerShouldDraw(5, 8)=false (5-point four-value window (4..7)) in [RES354], Banker 5 preserves 5 while 7 (7) remains undealt.

Complete 5-Card Resolution Trace for RES354
RES354 StageRES354 CardsRES354 Modulo MathRES354 Status
[RES354:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES354:5th]Player +8 (8)(5+8) mod 10 = 35th Card Sideways
[RES354:6th]Banker Stands (skip 7=7)Locked at 55-Card Final
[RES354:Settle]P=3 vs B=5Winner: BBig Road +B
  • [RES354-1] Confirm [RES354] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES354-2] Add [RES354] fifth-card 8 (8) to P=5 for (5+8) mod 10 = 3.
  • [RES354-3] Run [RES354] BANKER_TABLEAU[5][8]=false to settle 3 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES354

Showdown Settlement & Scoreboard Logging for RES354 (3 vs 5)

[RES354-C6] Comparing [RES354] final totals (5c), Player 3 vs Banker 5 awards [RES354] to Banker (B), which pays 0.95:1 on 5%-commission [RES354] layouts (or 0.5:1 on 6 at No-Commission [RES354] tables) and appends B to PPBBPBPPBB.

[RES354-D9] Side-bet & road check for [RES354] (P5+8->3 vs B5->5, 5c): [RES354] leaves [RES354] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES354] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES354] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES354, Banker 5 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[5][8] = false.
MythBecause RES354 resolves as B, the next derived-road mark must match B'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