Craps Payouts Calculator
Calculate potential winnings for various craps bets accurately and instantly.
Pass Line (Pays 1:1)
Come (Pays 1:1)
Don't Pass (Pays 1:1)
Don't Come (Pays 1:1)
Place 6 (Pays 7:6)
Place 8 (Pays 7:6)
Place 5 (Pays 4:5)
Place 9 (Pays 4:5)
Place 4 (Pays 2:3)
Place 10 (Pays 2:3)
Field (Pays 1:1 for 2, 12; 2:1 for 3, 11; 1:1 for 4, 9, 5, 6, 8, 10)
Hard 4 (Pays 7:1)
Hard 6 (Pays 9:1)
Hard 8 (Pays 9:1)
Hard 10 (Pays 7:1)
Any 7 (Pays 4:1)
Any Craps (Pays 7:1)
Aces (2) (Pays 30:1)
Boxcars (12) (Pays 30:1)
Horn (Pays 15:1 for 2, 3, 11, 12)
Big 6 (Pays 1:1)
Big 8 (Pays 1:1)
Select the type of bet you've placed.
Enter the amount you are wagering.
Enter the established point number (4, 5, 6, 8, 9, 10). Leave blank or set to 0 if not applicable.
2
3
4
5
6
7
8
9
10
11
12
Select the number rolled for a Field bet.
2 (Aces)
3
7
11
12 (Boxcars)
Select the number rolled for a Horn bet.
Calculation Results
—
Payout Ratio: —
Potential Winnings: —
Total Return: —
Formula: Payout = Bet Amount * (Numerator / Denominator)
Payout Multiples by Bet Type
Common Craps Payouts
| Bet Type | Payout Ratio | Example Bet (100 units) | Example Winnings |
|---|---|---|---|
| Pass Line | 1:1 | 100 | 100 |
| Place 6 | 7:6 | 100 | 116.67 |
| Place 8 | 7:6 | 100 | 116.67 |
| Place 5 | 4:5 | 100 | 80.00 |
| Place 9 | 4:5 | 100 | 80.00 |
| Hard 6 | 9:1 | 100 | 900.00 |
| Any 7 | 4:1 | 100 | 400.00 |
What is a Craps Payouts Calculator?
A Craps Payouts Calculator is a specialized tool designed for players of the casino dice game Craps. Its primary function is to help gamblers quickly and accurately determine the potential winnings for various types of bets placed on the craps table. Instead of manually calculating odds and payouts based on complex fractions, this calculator provides instant results, allowing players to better understand the risk and reward associated with each wager. It's an essential tool for both novice and experienced craps players looking to manage their bankroll effectively and make informed betting decisions.
Who Should Use It:
- New Craps Players: To demystify the various bets and their payouts, which can be confusing initially.
- Casual Gamblers: To quickly check potential winnings without needing to memorize odds.
- Serious Players: To analyze betting strategies, compare different wagers, and optimize their play.
- Online Casino Players: To ensure they understand the payouts offered in digital craps games.
Common Misconceptions:
- Misconception: All bets in craps have the same payout structure.
Reality: Craps features a wide array of bets with vastly different payout ratios, ranging from even money (1:1) to high-paying proposition bets (e.g., 30:1). - Misconception: The calculator only works for simple bets like Pass Line.
Reality: A good craps payouts calculator should handle a comprehensive list of common bets, including place bets, field bets, hardways, and proposition bets. - Misconception: Payouts are always fixed.
Reality: While the *ratio* is fixed, the actual payout amount depends directly on the bet amount and the specific outcome (especially for bets like Field or Horn).
Craps Payouts Calculator Formula and Mathematical Explanation
The core of the Craps Payouts Calculator relies on understanding the payout ratio associated with each specific bet. The general formula used is straightforward:
Payout Amount = Bet Amount * (Numerator / Denominator)
Where the "Payout Ratio" is expressed as "Numerator : Denominator".
Variable Explanations:
Let's break down the components:
- Bet Amount: This is the initial amount of money wagered on a specific bet.
- Payout Ratio (Numerator : Denominator): This represents the odds offered for a winning bet. For example, a 7:6 payout means for every 6 units bet, you win 7 units.
- Payout Amount: This is the profit you make from a winning bet, excluding your original stake.
- Total Return: This is the sum of your original bet amount and the payout amount (Total Return = Bet Amount + Payout Amount).
Mathematical Derivation & Specific Bet Logic:
While the general formula applies, the complexity arises from determining the correct payout ratio for each bet and handling special cases:
- Even Money Bets (1:1): Such as Pass Line, Come, Don't Pass, Don't Come, Big 6, Big 8. The formula simplifies to Payout Amount = Bet Amount * (1 / 1) = Bet Amount.
- Place Bets: These have varying ratios based on the number bet.
- Place 6 or 8 (7:6): Payout = Bet Amount * (7 / 6)
- Place 5 or 9 (4:5): Payout = Bet Amount * (4 / 5)
- Place 4 or 10 (2:3): Payout = Bet Amount * (2 / 3)
- Field Bets: The payout depends on the number rolled. The calculator uses conditional logic:
- If 2 or 12 rolled: Payout = Bet Amount * (1 / 1)
- If 3, 4, 5, 6, 8, 9, 10, or 11 rolled: Payout = Bet Amount * (1 / 1) (Note: Some casinos pay 2:1 for 3 and 11, and 1:1 for 2 and 12. This calculator uses a common structure, but variations exist. The calculator defaults to 1:1 for most, with specific handling for 2 and 12 if needed, or 2:1 for 3/11 if specified in options). For simplicity in this calculator, we'll assume 1:1 for 3, 4, 5, 6, 8, 9, 10, 11 and specific payouts for 2 and 12. Let's refine: If 2 or 12, Payout = Bet Amount * (1/1). If 3 or 11, Payout = Bet Amount * (2/1). If 4, 5, 6, 8, 9, 10, Payout = Bet Amount * (1/1). *Correction for common Field Bet:* Payout = Bet Amount * (1/1) for 3,4,5,6,8,9,10,11. Payout = Bet Amount * (2/1) for 2 and 12. Let's use the most common: 2:1 for 2 and 12, 1:1 for 3 and 11, 1:1 for 4,5,6,8,9,10. The calculator will reflect this.
- Hardways: Bets on specific combinations (e.g., Hard 4 is two 2s).
- Hard 4 or 10 (7:1): Payout = Bet Amount * (7 / 1)
- Hard 6 or 8 (9:1): Payout = Bet Amount * (9 / 1)
- Proposition Bets: Such as Any 7 (4:1), Any Craps (7:1), Aces (30:1), Boxcars (30:1). Payout = Bet Amount * (Numerator / Denominator).
- Horn Bets: A combination bet covering 2, 3, 7, 11, 12. Payout depends on which number hits. If 2 or 12 hits, Payout = Bet Amount * (15 / 1). If 3 or 11 hits, Payout = Bet Amount * (15 / 1). If 7 hits, Payout = Bet Amount * (15 / 1). *Correction:* Horn payouts are typically complex and cover specific combinations. A common Horn bet pays 15:1 for 2, 3, 11, 12. If 7 is rolled, the Horn bet loses. The calculator needs to reflect this. Let's assume the calculator handles the specific winning number for the Horn bet. If 2, 3, 11, or 12 is rolled, Payout = Bet Amount * (15/1). If 7 is rolled, the bet loses (0 payout).
Variables Table:
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Bet Amount | The amount wagered on a single bet. | Currency Units (e.g., $, €, £) | ≥ 1 |
| Numerator | The first number in the payout ratio (representing units won). | Integer | Varies (e.g., 1, 2, 4, 7, 9, 15, 30) |
| Denominator | The second number in the payout ratio (representing units wagered). | Integer | Varies (e.g., 1, 5, 6) |
| Payout Amount | The profit from a winning bet. | Currency Units | 0 or positive |
| Total Return | The sum of the bet amount and the payout amount. | Currency Units | Bet Amount or higher |
| Point Number | The number established on the come-out roll for Pass/Don't Pass bets. | Integer | 4, 5, 6, 8, 9, 10 |
| Field Bet Outcome | The number rolled when a Field bet is active. | Integer | 2 through 12 |
| Horn Bet Outcome | The number rolled when a Horn bet is active. | Integer | 2, 3, 7, 11, 12 |
Practical Examples (Real-World Use Cases)
Example 1: Place Bet on 6
A player decides to place a bet on the number 6. They wager $50. The number 6 is rolled before a 7. The payout ratio for placing the 6 is 7:6.
- Inputs:
- Bet Type: Place 6
- Bet Amount: $50
- Calculation:
- Payout Ratio: 7:6
- Potential Winnings = $50 * (7 / 6) = $58.33
- Total Return = $50 + $58.33 = $108.33
- Interpretation: The player wins $58.33 in profit on their $50 bet, receiving a total of $108.33 back from the casino. This demonstrates the favorable odds of placing the 6 or 8 compared to other numbers.
Example 2: Field Bet with a 2
A player makes a $25 Field bet. The next roll is a 2. The payout for a 2 in the Field is typically 2:1.
- Inputs:
- Bet Type: Field
- Bet Amount: $25
- Field Bet Outcome: 2
- Calculation:
- Payout Ratio: 2:1
- Potential Winnings = $25 * (2 / 1) = $50.00
- Total Return = $25 + $50.00 = $75.00
- Interpretation: Rolling a 2 on a Field bet results in a win. The player doubles their bet, earning $50 in profit on their $25 wager, for a total return of $75. This highlights the higher payout for the "craps" numbers (2 and 12) on Field bets in many casinos.
Example 3: Hard 8 Bet
A player bets $10 on the Hard 8 (meaning two 4s must be rolled). The number 8 is rolled, but it's a 5 and a 3, not the Hard 8. The bet loses. If the Hard 8 *is* rolled, the payout is 9:1.
- Inputs:
- Bet Type: Hard 8
- Bet Amount: $10
- Scenario (Hard 8 Rolled):
- Payout Ratio: 9:1
- Potential Winnings = $10 * (9 / 1) = $90.00
- Total Return = $10 + $90.00 = $100.00
- Interpretation: If the specific combination of two 4s is rolled, the player wins a significant $90 profit on their $10 bet. However, if any other combination totaling 8 (like 5-3 or 3-5) is rolled, or if a 7 is rolled, the Hard 8 bet loses. This illustrates the high risk and high reward nature of hardway bets.
How to Use This Craps Payouts Calculator
Using the Craps Payouts Calculator is designed to be intuitive and quick. Follow these simple steps:
- Select Bet Type: From the "Bet Type" dropdown menu, choose the specific wager you have made (e.g., "Pass Line", "Place 6", "Field", "Hard 4").
- Enter Bet Amount: Input the exact amount of money you are wagering into the "Bet Amount" field. Ensure you enter a positive number.
- Specify Point Number (If Applicable): If you are calculating payouts for bets related to the point (like Place bets or Come bets after a point is established), enter the established point number (4, 5, 6, 8, 9, or 10) in the "Point Number" field. For bets not dependent on a point (like the initial Pass Line bet or proposition bets), you can leave this blank or set it to 0.
- Select Field/Horn Outcome (If Applicable): If you selected "Field" or "Horn" as your bet type, use the corresponding dropdowns ("Field Bet Outcome" or "Horn Bet Outcome") to select the number that was rolled. This is crucial for accurate calculation as these bets have variable payouts based on the outcome.
- Click "Calculate Payout": Once all relevant fields are filled, click the "Calculate Payout" button.
How to Read Results:
- Primary Result (Highlighted): This shows the "Potential Winnings" – the profit you make from the bet.
- Payout Ratio: Displays the odds for the selected bet type (e.g., 7:6).
- Potential Winnings: The calculated profit (Bet Amount * Numerator / Denominator).
- Total Return: The sum of your original Bet Amount plus the Potential Winnings. This is the total amount you would receive back.
- Formula Explanation: A brief reminder of the basic calculation used.
Decision-Making Guidance:
Use the results to compare different bets. For instance, see how the potential winnings on a Place 6 bet compare to a Hard 6 bet for the same stake. Understanding these payouts helps you identify bets that align with your risk tolerance and strategic goals. If the potential winnings seem low for a particular bet, you might consider alternative wagers or adjust your bet size. The calculator empowers you to make more informed choices at the craps table.
Key Factors That Affect Craps Payouts Results
While the Craps Payouts Calculator provides precise figures, several underlying factors influence these results and the overall craps experience:
- Bet Type Selection: This is the most direct factor. Different bets have fundamentally different payout ratios. Choosing a bet with a higher payout ratio (like a Hard 8 at 9:1) offers greater potential winnings than an even-money bet (1:1) for the same stake, but often comes with higher risk or specific conditions.
- Bet Amount: The calculator directly multiplies the bet amount by the payout ratio. A larger bet amount naturally leads to larger potential winnings and total returns, assuming the bet wins. Proper bankroll management dictates setting a bet amount that aligns with your budget.
- Casino Rules and Variations: Not all casinos offer the exact same payouts or rules. For example, Field bets can vary (2:1 on 2 and 12, or 1:1 on 2 and 12, with different payouts for 3 and 11). Some proposition bets might have slightly different odds. Always be aware of the specific house rules.
- The Dice Roll Outcome: For bets like Field, Horn, or proposition bets (Aces, Boxcars), the specific number rolled is critical. A winning outcome yields the calculated payout, while a losing outcome means the bet is lost entirely. The calculator requires you to input the outcome for these specific bets.
- The Point Number: For bets like Come or Place bets, the established point number influences the game's progression but not the direct payout ratio once the bet is placed and the number hits. However, the probability of hitting the point versus a 7 affects the *likelihood* of winning the bet.
- House Edge: Every bet in craps has a house edge, meaning the casino has a statistical advantage over the long run. While the calculator shows potential gross winnings, the house edge represents the casino's average profit from all bets placed. Bets with lower house edges (like Pass Line or Come bets with odds) are generally more favorable to the player over time.
- Taxes: Significant gambling winnings may be subject to taxes depending on your jurisdiction. While the calculator focuses on the raw payout, players should factor in potential tax liabilities on their net winnings.
- Player Strategy: While payouts are fixed, how and when a player bets can affect their overall experience. Employing strategies like taking odds behind a Pass Line bet (which has no house edge) can improve the player's overall return percentage, even though the odds payout itself is separate from the base bet payout.
Frequently Asked Questions (FAQ)
Q1: What is the difference between "Payout Amount" and "Total Return"?
The "Payout Amount" is your profit – the money you win on top of your original bet. The "Total Return" is your original bet plus the Payout Amount; it's the total cash you receive back from the casino.
Q2: Does the calculator handle all possible craps bets?
This calculator covers many of the most common craps bets, including Pass Line, Come, Don't Pass, Don't Come, Place bets, Field bets, Hardways, and several proposition bets. However, craps has numerous exotic bets, and not all might be included.
Q3: Why does the "Point Number" field exist?
The Point Number is crucial for understanding the context of certain bets. For example, Place bets are only active once a point is established. While the payout ratio for a Place 6 is always 7:6, knowing the point helps contextualize the bet within the game's flow.
Q4: How do Field Bet payouts work? Are they always 1:1 or 2:1?
Field bet payouts can vary by casino. Common payouts are 2:1 for rolling a 2 or 12, and 1:1 for rolling a 3, 4, 5, 6, 8, 9, 10, or 11. Some casinos might offer 2:1 for 3 and 11 as well. This calculator uses a common structure, but it's wise to confirm with the specific casino.
Q5: What does "Hardways" mean in craps?
"Hardways" refer to specific pairs that make a number. For example, "Hard 4" is rolling two 2s. "Hard 6" is rolling two 3s. These are distinct from "Easy" ways (e.g., 1-3 or 3-1 for an Easy 4). Hardway bets pay significantly more but are harder to hit.
Q6: Can I use this calculator for online craps?
Yes, absolutely. The payouts are standardized (though variations exist, as noted). This calculator helps you understand the potential returns offered by online casinos, just as it does for live games.
Q7: What is the best bet in craps based on payouts?
From a pure payout perspective and considering the house edge, the Pass Line bet (with odds taken) and Come bets (with odds taken) are generally considered the best bets because they offer the lowest house edge. Proposition bets and some Place bets have significantly higher house edges.
Q8: How does the "Any 7" bet payout compare to other bets?
The "Any 7" bet pays 4:1. While this sounds decent, its house edge is relatively high (around 16.67%) compared to the Pass Line bet (around 1.41%). This means that statistically, you are expected to lose more money over time playing "Any 7" than playing the Pass Line.
Related Tools and Internal Resources
-
Craps Payouts Calculator
Instantly calculate potential winnings for any craps bet with our comprehensive tool.
-
Understanding Craps Odds
Dive deeper into the probabilities and house edge behind each craps wager.
-
Craps Betting Strategies
Explore different approaches to betting in craps, from conservative to aggressive.
-
Craps Glossary
Master the lingo of the craps table with our detailed definition of terms.
-
Casino Bankroll Calculator
Manage your gambling funds effectively with this essential bankroll management tool.
-
The Field Bet Explained
A detailed look at one of the most dynamic bets on the craps table.