Probability Tables for Every Casino Game: Quick Reference Guide (2026)
Most casino gamblers have never seen the actual probability tables for the games they play. They know roughly that "the house has an edge" but could not tell you whether a Place 6 bet in craps is better or worse than a Banker bet in baccarat, or what the actual probability of being dealt a natural blackjack is. These numbers exist, they are not secrets, and knowing them transforms the way you approach every table in the casino.
This guide compiles the complete probability tables for every major casino game into a single reference. Every bet, every probability, every payout ratio, and every house edge. You can use these tables to compare bets across games, calculate your expected losses for any session, and make informed decisions about where to put your money.
These are not estimates or approximations. These are the exact mathematical probabilities derived from the combinatorial analysis of each game. The casinos know these numbers intimately. Now you will too.
Verify any of these probabilities with our free Roulette Odds Calculator, Craps Odds Calculator, Baccarat Odds Calculator, and Blackjack House Edge Calculator.
How to Use These Tables
Before diving into the numbers, here is what each column means:
| Column | Definition |
|---|---|
| Bet | The specific wager |
| Win Probability | Chance of winning this bet (decimal and percentage) |
| True Odds | Fair payout ratio based on actual probability |
| Payout | What the casino actually pays |
| House Edge | The casino's mathematical advantage |
| EV per $100 | Expected loss per $100 wagered |
The house edge exists because the casino pays less than the true odds on every winning bet. This gap between what they should pay (true odds) and what they actually pay (payout) is the source of all casino revenue.
Expected Loss Calculation
To calculate your expected loss for any session:
Expected Loss = Total Wagered x House Edge
Total Wagered = Bet Size x Bets Per Hour x Hours Played
Example: $25 bets on roulette, 35 spins/hour, 4 hours:
- Total wagered: $25 x 35 x 4 = $3,500
- Expected loss: $3,500 x 5.26% = $184.10
Calculate expected losses instantly with our Expected Value Calculator.
Roulette Probability Tables
American Roulette (38 Pockets: 1-36, 0, 00)
Even-Money (Outside) Bets
| Bet | Win Probability | True Odds | Payout | House Edge | EV per $100 |
|---|---|---|---|---|---|
| Red | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
| Black | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
| Odd | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
| Even | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
| 1-18 (Low) | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
| 19-36 (High) | 18/38 = 47.37% | 1.111:1 | 1:1 | 5.26% | -$5.26 |
Dozen and Column Bets
| Bet | Win Probability | True Odds | Payout | House Edge | EV per $100 |
|---|---|---|---|---|---|
| 1st Dozen (1-12) | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
| 2nd Dozen (13-24) | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
| 3rd Dozen (25-36) | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
| Column 1 | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
| Column 2 | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
| Column 3 | 12/38 = 31.58% | 2.167:1 | 2:1 | 5.26% | -$5.26 |
Inside Bets
| Bet | Numbers Covered | Win Probability | True Odds | Payout | House Edge | EV per $100 |
|---|---|---|---|---|---|---|
| Straight Up | 1 | 1/38 = 2.63% | 37:1 | 35:1 | 5.26% | -$5.26 |
| Split | 2 | 2/38 = 5.26% | 18:1 | 17:1 | 5.26% | -$5.26 |
| Street | 3 | 3/38 = 7.89% | 11.67:1 | 11:1 | 5.26% | -$5.26 |
| Corner | 4 | 4/38 = 10.53% | 8.5:1 | 8:1 | 5.26% | -$5.26 |
| Five-Number | 5 | 5/38 = 13.16% | 6.6:1 | 6:1 | 7.89% | -$7.89 |
| Line (Double Street) | 6 | 6/38 = 15.79% | 5.33:1 | 5:1 | 5.26% | -$5.26 |
Note: The five-number bet (0, 00, 1, 2, 3) is the only American roulette bet with a different (higher) house edge. Avoid it.
Explore all roulette probabilities interactively with our Roulette Odds Calculator and see exact payouts with our Roulette Payout Calculator.
European Roulette (37 Pockets: 1-36, 0)
| Bet | Win Probability | Payout | House Edge | EV per $100 |
|---|---|---|---|---|
| Even-Money (Red, Black, etc.) | 18/37 = 48.65% | 1:1 | 2.70% | -$2.70 |
| Dozen/Column | 12/37 = 32.43% | 2:1 | 2.70% | -$2.70 |
| Straight Up | 1/37 = 2.70% | 35:1 | 2.70% | -$2.70 |
| Split | 2/37 = 5.41% | 17:1 | 2.70% | -$2.70 |
| Street | 3/37 = 8.11% | 11:1 | 2.70% | -$2.70 |
| Corner | 4/37 = 10.81% | 8:1 | 2.70% | -$2.70 |
| Line | 6/37 = 16.22% | 5:1 | 2.70% | -$2.70 |
European Roulette with La Partage or En Prison
| Bet | Win Probability | House Edge | EV per $100 |
|---|---|---|---|
| Even-Money with La Partage | 48.65% (half returned on 0) | 1.35% | -$1.35 |
| Even-Money with En Prison | 48.65% (imprisoned on 0) | 1.35% | -$1.35 |
La Partage and En Prison rules cut the even-money house edge in half, making European roulette with these rules one of the best bets in the casino.
Compare all roulette variants with our Roulette House Edge Calculator and Roulette Probability Calculator.
Roulette Streak Probabilities
| Streak | American (per color) | European (per color) |
|---|---|---|
| 2 in a row | 22.44% | 23.67% |
| 3 in a row | 10.63% | 11.52% |
| 5 in a row | 2.39% | 2.72% |
| 7 in a row | 0.54% | 0.64% |
| 10 in a row | 0.054% | 0.070% |
| 15 in a row | 0.001% | 0.002% |
| 20 in a row | 0.00003% | 0.00005% |
Simulate roulette streaks with our Roulette Betting Simulator.
Craps Probability Tables
Come-Out Roll Probabilities
| Roll Result | Probability | Outcome |
|---|---|---|
| 2 (Snake Eyes) | 1/36 = 2.78% | Pass Loses / Don't Pass Wins |
| 3 | 2/36 = 5.56% | Pass Loses / Don't Pass Wins |
| 7 | 6/36 = 16.67% | Pass Wins / Don't Pass Loses |
| 11 (Yo) | 2/36 = 5.56% | Pass Wins / Don't Pass Loses |
| 12 (Boxcars) | 1/36 = 2.78% | Pass Loses / Don't Pass Pushes |
| 4 (Point) | 3/36 = 8.33% | Point Established |
| 5 (Point) | 4/36 = 11.11% | Point Established |
| 6 (Point) | 5/36 = 13.89% | Point Established |
| 8 (Point) | 5/36 = 13.89% | Point Established |
| 9 (Point) | 4/36 = 11.11% | Point Established |
| 10 (Point) | 3/36 = 8.33% | Point Established |
Point Resolution Probabilities
| Point | Ways to Make | Ways for 7 | Win Probability | True Odds Against |
|---|---|---|---|---|
| 4 | 3 | 6 | 3/9 = 33.33% | 2:1 |
| 5 | 4 | 6 | 4/10 = 40.00% | 3:2 |
| 6 | 5 | 6 | 5/11 = 45.45% | 6:5 |
| 8 | 5 | 6 | 5/11 = 45.45% | 6:5 |
| 9 | 4 | 6 | 4/10 = 40.00% | 3:2 |
| 10 | 3 | 6 | 3/9 = 33.33% | 2:1 |
Complete Craps Bet Analysis
| Bet | Win Probability | True Odds | Payout | House Edge | EV per $100 |
|---|---|---|---|---|---|
| Pass Line | 49.29% | 1.028:1 | 1:1 | 1.41% | -$1.41 |
| Don't Pass | 47.93%* | 1.029:1 | 1:1 | 1.36% | -$1.36 |
| Come | 49.29% | 1.028:1 | 1:1 | 1.41% | -$1.41 |
| Don't Come | 47.93%* | 1.029:1 | 1:1 | 1.36% | -$1.36 |
| Pass/Come Odds | Varies | True odds | True odds | 0.00% | $0.00 |
| Don't Pass/Come Odds | Varies | True odds | True odds | 0.00% | $0.00 |
| Place 6 | 45.45% | 6:5 | 7:6 | 1.52% | -$1.52 |
| Place 8 | 45.45% | 6:5 | 7:6 | 1.52% | -$1.52 |
| Place 5 | 40.00% | 3:2 | 7:5 | 4.00% | -$4.00 |
| Place 9 | 40.00% | 3:2 | 7:5 | 4.00% | -$4.00 |
| Place 4 | 33.33% | 2:1 | 9:5 | 6.67% | -$6.67 |
| Place 10 | 33.33% | 2:1 | 9:5 | 6.67% | -$6.67 |
| Buy 4 (5% vig) | 33.33% | 2:1 | 2:1 - 5% | 4.76% | -$4.76 |
| Buy 10 (5% vig) | 33.33% | 2:1 | 2:1 - 5% | 4.76% | -$4.76 |
| Lay 4 (5% vig) | 66.67% | 1:2 | 1:2 - 5% | 2.44% | -$2.44 |
| Lay 10 (5% vig) | 66.67% | 1:2 | 1:2 - 5% | 2.44% | -$2.44 |
| Field (2x on 12) | 44.44% | 1.25:1 | Varies | 5.56% | -$5.56 |
| Field (3x on 12) | 44.44% | 1.25:1 | Varies | 2.78% | -$2.78 |
| Big 6 | 45.45% | 6:5 | 1:1 | 9.09% | -$9.09 |
| Big 8 | 45.45% | 6:5 | 1:1 | 9.09% | -$9.09 |
| Hard 4 | 1/36 = 2.78% | 8:1 | 7:1 | 11.11% | -$11.11 |
| Hard 10 | 1/36 = 2.78% | 8:1 | 7:1 | 11.11% | -$11.11 |
| Hard 6 | 1/36 = 2.78% | 10:1 | 9:1 | 9.09% | -$9.09 |
| Hard 8 | 1/36 = 2.78% | 10:1 | 9:1 | 9.09% | -$9.09 |
| Any 7 | 6/36 = 16.67% | 5:1 | 4:1 | 16.67% | -$16.67 |
| Any Craps | 4/36 = 11.11% | 8:1 | 7:1 | 11.11% | -$11.11 |
| Yo (11) | 2/36 = 5.56% | 17:1 | 15:1 | 11.11% | -$11.11 |
| Snake Eyes (2) | 1/36 = 2.78% | 35:1 | 30:1 | 13.89% | -$13.89 |
| Boxcars (12) | 1/36 = 2.78% | 35:1 | 30:1 | 13.89% | -$13.89 |
| Horn (2,3,11,12) | 4/36 = 11.11% | Varies | Varies | 12.50% | -$12.50 |
| Hop (easy) | 2/36 = 5.56% | 17:1 | 15:1 | 11.11% | -$11.11 |
| Hop (hard) | 1/36 = 2.78% | 35:1 | 30:1 | 13.89% | -$13.89 |
*Don't Pass: 47.93% win, 49.30% lose, 2.78% push (12 on come-out). House edge calculated on resolved bets.
Verify every craps number with our Craps Odds Calculator and see payouts with our Craps Payout Calculator.
Combined Pass + Odds House Edge
| Odds Offered | Combined House Edge | EV per $100 Total Bet |
|---|---|---|
| No odds | 1.41% | -$1.41 |
| 1x | 0.85% | -$0.85 |
| 2x | 0.61% | -$0.61 |
| 3-4-5x | 0.37% | -$0.37 |
| 5x | 0.33% | -$0.33 |
| 10x | 0.18% | -$0.18 |
| 20x | 0.10% | -$0.10 |
| 100x | 0.02% | -$0.02 |
Calculate your exact combined craps edge with our Craps House Edge Calculator.
Blackjack Probability Tables
Key Hand Probabilities
| Event | Probability |
|---|---|
| Being dealt a natural blackjack (A + 10-value) | 4.83% (about 1 in 21 hands) |
| Dealer natural blackjack | 4.83% |
| Both player and dealer blackjack (push) | 0.23% |
| Player busting on hit to hard 12 | 30.77% (4/13) |
| Player busting on hit to hard 13 | 38.46% (5/13) |
| Player busting on hit to hard 14 | 46.15% (6/13) |
| Player busting on hit to hard 15 | 53.85% (7/13) |
| Player busting on hit to hard 16 | 61.54% (8/13) |
| Player busting on hit to hard 17+ | 69.23%+ |
| Dealer busting (overall) | ~28.36% |
Dealer Final Hand Probabilities (Stand on Soft 17)
| Dealer Final Hand | Probability |
|---|---|
| Natural Blackjack | 4.83% |
| 21 (non-natural) | 7.36% |
| 20 | 17.58% |
| 19 | 13.48% |
| 18 | 13.81% |
| 17 | 14.58% |
| Bust | 28.36% |
Dealer Bust Probability by Upcard
| Dealer Upcard | Bust Probability | Player Advantage |
|---|---|---|
| 2 | 35.30% | Low |
| 3 | 37.56% | Low |
| 4 | 40.28% | Medium |
| 5 | 42.89% | Medium-High |
| 6 | 42.08% | Medium-High |
| 7 | 25.99% | Neutral |
| 8 | 23.86% | Low (dealer) |
| 9 | 23.34% | Low (dealer) |
| 10/J/Q/K | 21.43% | Dealer advantage |
| Ace | 11.65% | Strong dealer |
This is why basic strategy says to be more aggressive (double down, split) against dealer 4, 5, and 6, where bust rates are highest.
House Edge by Common Rule Variations
| Rule Configuration | House Edge | EV per $100 |
|---|---|---|
| Single deck, 3:2, S17, DAS | 0.17% | -$0.17 |
| 6 deck, 3:2, S17, DAS | 0.40% | -$0.40 |
| 6 deck, 3:2, H17, DAS | 0.64% | -$0.64 |
| 8 deck, 3:2, S17, DAS | 0.43% | -$0.43 |
| 6 deck, 6:5, S17, DAS | 1.79% | -$1.79 |
| 6 deck, 6:5, H17, DAS | 2.03% | -$2.03 |
| CSM (Continuous Shuffler), 3:2, S17 | ~0.40% | -$0.40 |
Key: S17 = Stand on Soft 17, H17 = Hit on Soft 17, DAS = Double After Split
Find exact house edge for your table's specific rules with our Blackjack House Edge Calculator.
Insurance Bet Analysis
| Scenario | Probability | Outcome |
|---|---|---|
| Dealer has blackjack (insurance wins) | 30.77% (4/13) | Pays 2:1 |
| Dealer does not have blackjack | 69.23% (9/13) | Insurance lost |
| House edge on insurance | 7.47% | Always a bad bet |
Insurance is one of the worst standard bets in blackjack. The only exception is for card counters who know the remaining deck is rich in tens.
Baccarat Probability Tables
Main Bet Outcomes
| Outcome | Probability | True Odds | Payout | House Edge | EV per $100 |
|---|---|---|---|---|---|
| Banker Win | 45.86% | 1.18:1 | 0.95:1 (5% comm.) | 1.06% | -$1.06 |
| Player Win | 44.62% | 1.24:1 | 1:1 | 1.24% | -$1.24 |
| Tie | 9.52% | 9.51:1 | 8:1 | 14.36% | -$14.36 |
Baccarat with No Commission Variants
| Variant | Banker Pays | House Edge (Banker) | House Edge (Player) |
|---|---|---|---|
| Standard (5% comm.) | 0.95:1 | 1.06% | 1.24% |
| No Commission (push on Banker 6) | 1:1 (0.5:1 on 6) | 1.46% | 1.24% |
| EZ Baccarat (push Banker 3-card 7) | 1:1 | 1.02% | 1.24% |
Baccarat Point Total Distribution
| Point Total | Banker Probability | Player Probability |
|---|---|---|
| 0 | 8.47% | 8.81% |
| 1 | 8.54% | 8.75% |
| 2 | 8.75% | 9.52% |
| 3 | 9.68% | 9.66% |
| 4 | 10.43% | 10.10% |
| 5 | 10.40% | 9.41% |
| 6 | 11.71% | 11.79% |
| 7 | 12.73% | 12.65% |
| 8 | 9.88% | 9.65% |
| 9 | 9.41% | 9.66% |
Side Bet Probabilities (Common)
| Side Bet | Win Probability | Typical Payout | Typical House Edge |
|---|---|---|---|
| Player Pair | 7.47% | 11:1 | 10.36% |
| Banker Pair | 7.47% | 11:1 | 10.36% |
| Either Pair | 14.54% | 5:1 | 12.78% |
| Perfect Pair | 3.34% | 25:1 | 13.03% |
| Dragon 7 (EZ) | 2.25% | 40:1 | 7.61% |
| Panda 8 (EZ) | 3.55% | 25:1 | 7.63% |
Calculate all baccarat probabilities with our Baccarat Odds Calculator and compare house edges with our Baccarat House Edge Calculator.
Video Poker Probability Tables
Jacks or Better Hand Frequencies (52-Card Deck)
| Hand | Probability | Expected Frequency | 9/6 Payout | 8/5 Payout |
|---|---|---|---|---|
| Royal Flush | 0.00248% | 1 in 40,391 | 800 for 1 | 800 for 1 |
| Straight Flush | 0.01093% | 1 in 9,148 | 50 for 1 | 50 for 1 |
| Four of a Kind | 0.02363% | 1 in 4,231 | 25 for 1 | 25 for 1 |
| Full House | 1.15128% | 1 in 87 | 9 for 1 | 8 for 1 |
| Flush | 1.10147% | 1 in 91 | 6 for 1 | 5 for 1 |
| Straight | 1.12268% | 1 in 89 | 4 for 1 | 4 for 1 |
| Three of a Kind | 7.44490% | 1 in 13 | 3 for 1 | 3 for 1 |
| Two Pair | 12.92790% | 1 in 8 | 2 for 1 | 2 for 1 |
| Jacks or Better | 21.45850% | 1 in 5 | 1 for 1 | 1 for 1 |
| Nothing | 54.75623% | 1 in 2 | 0 | 0 |
Note: These are optimal-strategy frequencies. Actual frequencies vary based on hold/discard decisions.
Video Poker Pay Table Comparison (Per Coin, Max Coins)
| Pay Table Name | FH/FL | RTP | House Edge |
|---|---|---|---|
| 9/6 Jacks or Better (Full Pay) | 9/6 | 99.54% | 0.46% |
| 9/5 Jacks or Better | 9/5 | 98.45% | 1.55% |
| 8/6 Jacks or Better | 8/6 | 98.39% | 1.61% |
| 8/5 Jacks or Better | 8/5 | 97.30% | 2.70% |
| 7/5 Jacks or Better | 7/5 | 96.15% | 3.85% |
| 6/5 Jacks or Better | 6/5 | 95.00% | 5.00% |
| 10/7 Double Bonus | 10/7 | 100.17% | -0.17% (player edge!) |
| 9/6 Double Double Bonus | 9/6 | 98.98% | 1.02% |
| Full Pay Deuces Wild | - | 100.76% | -0.76% (player edge!) |
Critical insight: 10/7 Double Bonus and Full Pay Deuces Wild actually have a positive expected value for the player with perfect strategy. These machines are extremely rare but do exist.
Compare pay tables and find the best machines with our Video Poker Pay Table Analyzer and Video Poker Odds Calculator.
Royal Flush Wait Times
| Hands Per Hour | Expected Hands for Royal | Expected Hours | Expected Days (8hr/day) |
|---|---|---|---|
| 400 (fast online) | 40,391 | 101 hours | 12.5 days |
| 600 (very fast online) | 40,391 | 67 hours | 8.4 days |
| 300 (average live) | 40,391 | 135 hours | 16.9 days |
At max coins ($1.25 per hand) on a Jacks or Better machine, the Royal Flush pays $1,000 (800 x $1.25). You will hit one approximately every 40,391 hands, or roughly once every 100-135 hours of play.
Game-by-Game Cost Comparison
Expected Loss Per Hour ($25 Average Bet)
| Game | Bets/Hour | House Edge | Hourly Loss | Monthly (20 hrs) | Annual |
|---|---|---|---|---|---|
| Craps (Pass + 5x Odds) | 30 | 0.33% | $2.48 | $49.50 | $594 |
| Video Poker (9/6 JoB) | 400 | 0.46% | $46.00* | $920* | $11,040* |
| Blackjack (BS, 3:2) | 80 | 0.50% | $10.00 | $200 | $2,400 |
| Baccarat (Banker) | 70 | 1.06% | $18.55 | $371 | $4,452 |
| Craps (Pass only) | 30 | 1.41% | $10.58 | $211 | $2,535 |
| Baccarat (Player) | 70 | 1.24% | $21.70 | $434 | $5,208 |
| Roulette (European) | 35 | 2.70% | $23.63 | $473 | $5,670 |
| Roulette (American) | 35 | 5.26% | $46.03 | $921 | $11,046 |
| Slots (typical) | 600 | 8.00% | $120.00** | $2,400** | $28,800** |
*Video poker at $1.25/hand (max coin), not $25. At $25 average play, VP costs would be much higher. **Slots at $0.50-$3.00/spin average. At $25 equivalent, costs scale proportionally.
Calculate your personal expected losses with our Expected Value Calculator and track them with our Bankroll Volatility Tracker.
Cost Per Entertainment Hour Comparison
| Activity | Typical Cost Per Hour |
|---|---|
| Craps with full odds | $2-5 |
| Video Poker (full pay, $1.25/hand) | $3-8 |
| Blackjack (basic strategy) | $8-15 |
| Movie theater | $8-12 |
| Mini golf | $10-15 |
| Baccarat | $15-25 |
| Concert | $20-50 |
| Roulette | $25-50 |
| Theme park | $15-30 |
| Slots | $50-200+ |
| Sports event (live) | $30-100 |
When framed as entertainment cost, craps with odds and video poker are among the cheapest entertainment options available, while slots are among the most expensive.
How to Use These Tables Strategically
Step 1: Compare Before You Play
Before sitting down at any table, check the house edge in these tables. The difference between 0.37% (craps with odds) and 5.26% (American roulette) is massive. Over a weekend of play, that is the difference between losing $15 and losing $200.
Step 2: Calculate Your Session Budget
Use the expected loss formula: Budget = Bet Size x Bets/Hour x Hours x House Edge x Safety Factor
Use a safety factor of 2-3x the expected loss to account for variance. If your expected loss is $40, bring at least $80-120.
Step 3: Avoid the Worst Bets
These tables clearly show which bets to avoid:
- Any 7 in craps: 16.67% house edge
- Tie in baccarat: 14.36% house edge
- Keno: 25-30% house edge
- Big 6/Big 8 in craps: 9.09% (just place the 6 or 8 instead at 1.52%)
- Insurance in blackjack: 7.47%
- 5-number bet in roulette: 7.89%
Step 4: Maximize Odds and Optimal Strategy
- In craps, always take maximum odds behind Pass/Come
- In blackjack, learn and use basic strategy perfectly
- In video poker, use a strategy card for your specific pay table
- In baccarat, stick to Banker or Player bets only
Use our Hold/Vig Calculator for sports betting analysis and our Roulette House Edge Calculator for roulette comparison.
Frequently Asked Questions
Which casino game has the best odds for the player? Craps with Pass Line plus full odds offers the lowest combined house edge at approximately 0.37% (with 3-4-5x odds). Video poker on full-pay 9/6 Jacks or Better with perfect strategy is close at 0.46%. Blackjack with basic strategy comes in at approximately 0.50%. Use our Craps Odds Calculator to verify these numbers.
Which casino game has the worst odds? Among standard games, keno has the worst odds at 25-30% house edge. Among common table bets, Any 7 in craps at 16.67% and Tie in baccarat at 14.36% are the worst. Lottery scratchers and progressive side bets often exceed 30% house edge.
Do these probabilities change based on previous results? For roulette, craps, and slots, absolutely not. Each outcome is completely independent. For blackjack and baccarat (dealt from shoes), card removal technically changes probabilities slightly, but the effect is negligible in baccarat and only significant in blackjack for card counters.
Why does every roulette bet have the same house edge? Because the payout ratios are specifically designed to produce a uniform edge. The casino calculates payouts based on 36 numbers (ignoring zeros) but has 38 numbers on the wheel (American) or 37 (European). The missing 2 (or 1) units per 38 (or 37) spins create the house edge.
Are online casino probabilities the same as live casino probabilities? For standard games using proper random number generators, yes. The mathematical rules are the same. However, online slots may have different RTP settings than physical machines, and speed of play is typically faster online, increasing hourly expected losses.
How can I verify these numbers myself? Use our calculators to verify independently. The Roulette Odds Calculator, Craps Odds Calculator, and Baccarat Odds Calculator will confirm every number in these tables. The math is public knowledge; casinos do not hide it.
Should I always bet Banker in baccarat? Banker has the lowest house edge at 1.06%, making it the statistically optimal choice. However, the 5% commission on wins makes the practical difference between Banker (1.06%) and Player (1.24%) relatively small. Never bet Tie (14.36%).
What is the most important number in these tables? The house edge column. It tells you exactly how much each bet costs you per dollar wagered. Every other number (probability, payout) is interesting context, but the house edge is the bottom line that determines your expected loss.
Related Tools for Probability Analysis
Game-Specific Probability Calculators
- Roulette Odds Calculator - Complete roulette probabilities
- Craps Odds Calculator - Every craps bet analyzed
- Baccarat Odds Calculator - Full baccarat probability tables
- Video Poker Odds Calculator - VP hand frequencies and probabilities
- Roulette Probability Calculator - Streaks and sequence probabilities
Payout Calculators
- Roulette Payout Calculator - Exact roulette payouts
- Craps Payout Calculator - Complete craps payout reference
- Video Poker Pay Table Analyzer - Compare VP pay tables
House Edge and EV Tools
- Blackjack House Edge Calculator - Edge by rule configuration
- Roulette House Edge Calculator - Compare wheel types
- Craps House Edge Calculator - Combined odds edge
- Baccarat House Edge Calculator - Commission analysis
- Expected Value Calculator - Calculate EV for any bet
- Hold/Vig Calculator - Sportsbook margin analysis
- Bankroll Volatility Tracker - Track your results
Conclusion
These probability tables represent the mathematical reality of every casino game. They are not opinions, predictions, or strategies. They are the objective, unchangeable laws that govern every spin, roll, and deal in the casino.
The most powerful takeaway from these tables is the enormous range of house edges available to you within a single casino. Walking from a craps table (0.37% with full odds) to a roulette table (5.26%) increases your expected cost by 14x. Switching from a Banker bet in baccarat (1.06%) to a Tie bet (14.36%) increases your cost by 13.5x. These are not small differences. Over a year of regular play, they represent thousands of dollars.
Armed with these numbers, you can make genuinely informed decisions about your casino entertainment. You can choose the cheapest games, avoid the most expensive bets, and budget accurately based on mathematical reality rather than hope or intuition.
Start by verifying these numbers with our Roulette Odds Calculator, Craps Odds Calculator, and Baccarat Odds Calculator. Calculate your personal expected losses with our Expected Value Calculator. And compare every game side by side using our Blackjack House Edge Calculator, Roulette House Edge Calculator, Craps House Edge Calculator, and Baccarat House Edge Calculator.
The numbers are on the table. Now you know exactly what they mean.
Gambling involves risk. This content is for educational and informational purposes only. Always gamble responsibly, set limits you can afford, and seek help if gambling becomes a problem. Visit the National Council on Problem Gambling or call 1-800-522-4700 for support.
