Five-deck transitional carrier audits and mathematical convergence proofs. In a fresh 5-deck shoe containing 260 cards (80 zero-value cards and 20 of each pip Ace–9), exact six-card enumeration yields 45.8697% Banker wins, 44.6304% Player wins, and 9.5000% Ties, resulting in a 1.0542% Banker house edge and 1.2393% Player house edge.
5-deck sample shoe (260 cards). Derived-road colors reflect Big Road column structure, never 5-deck card depletion.
This bead is at Row 2. Column 2 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 2 stopped exactly one row above this bead.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
This bead is at Row 2. Column 2 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 2 stopped exactly one row above this bead.
80 ten/face 0-point cards plus 20 per pip rank A–9.
50.6847% share of non-tie resolved decisions in 5-deck play.
49.3153% share of non-tie resolved decisions in 5-deck play.
Variance 0.8602 per unit staked in 5-deck shoes.
Player natural 18.9486%, Banker natural 18.9486%, both 3.5802%.
[D5-INVENTORY] Five decks assemble 260 cards (eighty 10/J/Q/K cards and twenty of each pip 1–9), crossing the quarter-thousand card threshold. Single-card removal shifts remaining shoe composition by 0.385%, moving five-deck exact probabilities within 0.004 percentage points of six-deck Mini-Baccarat.
[D5-PAYOUTS] Five-deck Tie probability registers at 9.5436%, corresponding to a 14.107% house edge on 8-to-1 Tie and 1.053% on 5%-commission Banker. Natural 8 and Natural 9 settlements account for over 31.8% of hands, locking out third-card draws on either side whenever a two-card 8 or 9 appears.
| D5 Wager | D5 Win % | D5 Loss % | D5 Push % | D5 House Edge | D5 Variance |
|---|---|---|---|---|---|
| D5-Banker (0.95:1) | 45.8697% | 44.6304% | 9.5000% | 1.0542% | 0.86017 |
| D5-Player (1.00:1) | 44.6304% | 45.8697% | 9.5000% | 1.2393% | 0.90485 |
| D5-Tie (8.00:1) | 9.5000% | 90.5000% | 0.0000% | 14.5001% | 6.96397 |
| D5-Naturals (8/9) | 34.3170% | 65.6830% | 3.5802% | P:18.9486% | B:18.9486% |
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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.