Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #173
FINAL TOTAL RESOLUTION [RES173] · 6-CARD PROOF

Player 4 + 8 (8) vs. Banker 2 (Draws 10 (0)): 6-Card Resolution #173

In walkthrough RES173, Player opens with 2+2 (4) and draws fifth-card 8 (8) for a modulo-10 total of 2, while Banker opens with 10+2 (2) and draws sixth-card 10 (0) for 2 (6-card T outcome).

RES173 Player Path
P:4->2
RES173 Banker Path
B:2->2
RES173 Deal Length
6 Cards
RES173 Showdown
T (2v2)
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 RES173 (P4+8->2 vs B2->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

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

RES173 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.

RES173 Fifth-Card Modulo Proof
(4 + 8) mod 10 = 2 via 8

Player draws fifth-card 8 (value 8), transforming two-card 4 into three-card 2.

RES173 Banker Tableau Lookup
BANKER_TABLEAU[2][8] = true

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

RES173 Card Count & Winner
6 Cards -> T (2 vs 2)

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

RES173 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 · RES173

Step-by-Step Card Arithmetic for RES173: P(2+2)+8 vs B(10+2)

Under audit [RES173], Player opens on two-card 4 (2+2) opposite Banker 2 (10+2), triggering a mandatory fifth-card pull of 8 (value 8) that settles via mod-10 arithmetic from 12 into 2.

[RES173-B] Evaluating bankerShouldDraw(2, 8)=true (2-point mandatory draw band) in [RES173], sixth-card 10 (0) advances Banker 2 via 2+0=2 to 2.

Complete 6-Card Resolution Trace for RES173
RES173 StageRES173 CardsRES173 Modulo MathRES173 Status
[RES173:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES173:5th]Player +8 (8)(4+8) mod 10 = 25th Card Sideways
[RES173:6th]Banker +10 (0)(2+0) mod 10 = 26-Card Final
[RES173:Settle]P=2 vs B=2Winner: TBig Road +T
  • [RES173-1] Confirm [RES173] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES173-2] Add [RES173] fifth-card 8 (8) to P=4 for (4+8) mod 10 = 2.
  • [RES173-3] Run [RES173] BANKER_TABLEAU[2][8]=true to settle 2 vs 2 (T).
SETTLEMENT & SCOREBOARD · RES173

Showdown Settlement & Scoreboard Logging for RES173 (2 vs 2)

[RES173-C3] Comparing [RES173] final totals (6c), Player 2 vs Banker 2 awards [RES173] to Tie (T), which pushes main [RES173] Player/Banker wagers while settling [RES173] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPPPB.

[RES173-D5] Side-bet & road check for [RES173] (P4+8->2 vs B2->2, 6c): [RES173] leaves [RES173] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES173] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES173] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES173, Banker 2 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[2][8] = true.
MythBecause RES173 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

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