Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #250
FINAL TOTAL RESOLUTION [RES250] · 5-CARD PROOF

Player 3 + A (1) vs. Banker 4 (Stands at 4): 5-Card Resolution #250

In walkthrough RES250, Player opens with 9+4 (3) and draws fifth-card A (1) for a modulo-10 total of 4, while Banker opens with A+3 (4) and stands pat at 4 (5-card T outcome).

RES250 Player Path
P:3->4
RES250 Banker Path
B:4->4
RES250 Deal Length
5 Cards
RES250 Showdown
T (4v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES250 (P3+1->4 vs B4->4).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES250 Four-Card Opening Deal
Player 9+4=3 vs Banker A+3=4

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

RES250 Fifth-Card Modulo Proof
(3 + 1) mod 10 = 4 via A

Player draws fifth-card A (value 1), transforming two-card 3 into three-card 4.

RES250 Banker Tableau Lookup
BANKER_TABLEAU[4][1] = false

Banker 4 stands pat at 4 without pulling sixth-card 5 (5).

RES250 Card Count & Winner
5 Cards -> T (4 vs 4)

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

RES250 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 · RES250

Step-by-Step Card Arithmetic for RES250: P(9+4)+A vs B(A+3)

Floor verification [RES250] inspects Player 9+4 (3) versus Banker A+3 (4); once fifth-card A (1) is exposed sideways, 3+1=4 drops the tens digit to three-card 4.

[RES250-B] Evaluating bankerShouldDraw(4, 1)=false (4-point six-value gate (2..7)) in [RES250], Banker 4 preserves 4 while 5 (5) remains undealt.

Complete 5-Card Resolution Trace for RES250
RES250 StageRES250 CardsRES250 Modulo MathRES250 Status
[RES250:Init]P(9+4)=3 vs B(A+3)=4playerShouldDraw(3)=true4-Card Deal
[RES250:5th]Player +A (1)(3+1) mod 10 = 45th Card Sideways
[RES250:6th]Banker Stands (skip 5=5)Locked at 45-Card Final
[RES250:Settle]P=4 vs B=4Winner: TBig Road +T
  • [RES250-1] Confirm [RES250] opening P=3 (9+4) and B=4 (A+3) lack Natural 8/9.
  • [RES250-2] Add [RES250] fifth-card A (1) to P=3 for (3+1) mod 10 = 4.
  • [RES250-3] Run [RES250] BANKER_TABLEAU[4][1]=false to settle 4 vs 4 (T).
SETTLEMENT & SCOREBOARD · RES250

Showdown Settlement & Scoreboard Logging for RES250 (4 vs 4)

[RES250-C3] Comparing [RES250] final totals (5c), Player 4 vs Banker 4 awards [RES250] to Tie (T), which pushes main [RES250] Player/Banker wagers while settling [RES250] Tie bets at 8:1 or 9:1 and appends T to PPBBBPPPPB.

[RES250-D9] Side-bet & road check for [RES250] (P3+1->4 vs B4->4, 5c): [RES250] leaves [RES250] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES250] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES250] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES250, Banker 4 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[4][1] = false.
MythBecause RES250 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