Hop Bet Calculations: Single Roll Specific Outcome Betting
Ditulis pada 17 Sep 2025 oleh AturToko
The Art of Hop Bet Calculations: Single Roll Specific Outcome Betting
When it comes to hop bets, also known as craps bets, there are various types and strategies involved in calculating probabilities and expected values. One type of bet that can be particularly intriguing is single roll specific outcome betting, where a player wagers on the outcome of a single roll of the dice. In this article, we will delve into the intricacies of hop bet calculations for single roll specific outcomes.
Understanding Hop Bets
https://woocasinoonline.net/ Before diving into the math behind hop bets, it’s essential to understand what they are and how they work. A hop bet is an additional wager made in addition to a standard pass line or don’t pass bet in craps. The most common types of hop bets include:
- Any 7: A bet that wins if the shooter rolls any number with a 7 as part of it (e.g., 3-4, 6-1).
- Hardways: A bet that wins if the shooter rolls a hardway combination (e.g., 1-2, 3-4).
- Field bets: A bet that wins if the shooter rolls any of the numbers 2, 3, 4, 9, 10, 11, or 12.
- Hardways and Any 7 Combination Bets: A combination bet that combines a hardways bet with an any 7 bet.
Calculating Probabilities
To calculate the probability of a specific outcome in a single roll hop bet, we need to understand the basic principles of combinatorics. For each possible outcome, we will count the number of favorable outcomes and divide it by the total number of possible outcomes. In craps, there are 36 possible outcomes when rolling two dice.
Single Roll Specific Outcome Betting
In this section, we’ll focus on calculating probabilities for single roll specific outcomes, such as "Any 7" or "Hardways."
Any 7
There are six combinations that result in an any 7:
- (1-6)
- (2-5)
- (3-4)
- (4-3)
- (5-2)
- (6-1)
To calculate the probability of rolling an any 7, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes = 6 / 36 = 0.16666667 or approximately 16.66%
Hardways
For hardways bets, we have six combinations to consider:
- (1-2)
- (2-1)
- (3-4)
- (4-3)
- (5-6)
- (6-5)
To calculate the probability of rolling a specific hardway combination, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes = 1 / 36 = 0.02777778 or approximately 2.77%
Field Bets
Field bets include numbers 2, 3, 4, 9, 10, 11, and 12.
- (2) has 1 combination: (1-1)
- (3) has 2 combinations: (1-2), (2-1)
- (4) has 3 combinations: (1-3), (2-2), (3-1)
- (9) has 4 combinations: (3-6), (6-3), (4-5), (5-4)
- (10) has 3 combinations: (4-6), (6-4), (5-5)
- (11) has 2 combinations: (5-6), (6-5)
- (12) has 1 combination: (6-6)
To calculate the probability of rolling a field bet, we divide the sum of favorable outcomes for each number by the total number of possible outcomes:
Probability = Sum of favorable outcomes / Total number of possible outcomes = (1 + 2 + 3 + 4 + 3 + 2 + 1) / 36 = 16 / 36 = 0.44444444 or approximately 44.44%
Calculating Expected Value
Now that we have the probabilities for single roll specific outcome bets, let’s calculate their expected value (EV). The EV is a measure of the average return on investment for each bet.
For an any 7 bet with a $10 minimum and even money payout:
- EV = P Winnings – Bets = (16.66% / 100) ($20) – $10 = $3.33 – $10 = -$6.67
For a hardways bet with a $5 minimum and even money payout:
- EV = P Winnings – Bets = (2.77% / 100) ($10) – $5 = $0.27 – $5 = -$4.73
Conclusion
In conclusion, single roll specific outcome betting offers a unique opportunity for players to hedge their bets and potentially increase their chances of winning. By understanding the probabilities and expected values associated with these bets, players can make informed decisions and manage their bankroll more effectively.
While it’s essential to be aware of the house edge and volatility involved in hop bet calculations, it’s equally important to recognize that these bets are inherently unpredictable. By combining statistical analysis with a solid understanding of the game mechanics, players can develop a winning strategy for single roll specific outcome betting.
Keep in mind that hop bets should only be considered when combined with other bets or as part of a comprehensive betting plan. Even with optimal calculations and strategies, there is always an inherent risk involved in any form of gambling.