Hop Bet Calculations: Single Roll Specific Outcome Betting
When it comes to hop bets, also known as "hop bets" or "craps bets," there are a few different types of calculations involved in determining their payouts and probabilities. https://gamdomcasinowinnz.com/ One type of calculation that’s essential for any craps player is single roll specific outcome betting. This article will delve into the math behind these bets.
What Are Hop Bets?
Before we dive into the calculations, let’s quickly review what hop bets are. In craps, a hop bet is a wager made on the pass line or don’t pass line that combines elements of an odds bet and an any seven bet. There are several different types of hop bets available in most casinos, including:
- Hop 4: A combination of a $10 any seven bet and a $5 place bet on the 4
- Hop 5: A combination of a $10 any seven bet and a $5 place bet on the 5
- Hop 6: A combination of a $10 any seven bet and a $5 place bet on the 6
- Hop 8: A combination of a $10 any seven bet and a $5 place bet on the 8
- Hop 9: A combination of a $10 any seven bet and a $5 place bet on the 9
- Hop 10: A combination of a $10 any seven bet and a $5 place bet on the 10
Single Roll Specific Outcome Betting
The single roll specific outcome betting aspect of hop bets is what sets them apart from other craps wagers. When you make a hop bet, you’re essentially placing two separate bets simultaneously: an any seven bet (or an odds bet if you’ve already made a pass line or don’t pass line wager) and a place bet on one of the six numbers 4 through 9.
The key to calculating the odds for single roll specific outcome betting lies in understanding that each hop bet is actually two separate bets. Let’s take a closer look at how these calculations work.
Any Seven Bet Odds
An any seven bet is a simple wager that pays out when a shooter rolls either a 1, 2, or 3. Since the probability of rolling one of these numbers on a single roll is 1/6 (or approximately 16.67%), the odds for an any seven bet are 5:4 in favor of the house.
Place Bet Odds
The place bets associated with hop bets have varying probabilities and payouts, depending on which number you choose to bet on. Here’s a breakdown of the place bet odds:
- Place 4: The probability of rolling a 4 is 1/9 (or approximately 11.11%), making the true odds 2:3 against.
- Place 5: The probability of rolling a 5 is 1/10 (or approximately 10%), making the true odds 3:8 against.
- Place 6: The probability of rolling a 6 is 1/9 (or approximately 11.11%), making the true odds 2:3 against.
- Place 8: The probability of rolling an 8 is 5/36 (or approximately 13.89%), making the true odds 5:23 against.
- Place 9: The probability of rolling a 9 is 1/10 (or approximately 10%), making the true odds 3:8 against.
Combined Odds
When you make a hop bet, the combined odds are based on both the any seven bet and the place bet. Since these bets are made simultaneously, we need to take into account the probability of each event occurring separately. The odds for an individual hop bet are as follows:
- Hop 4: Any seven (5:4) x Place 4 (2:3) = -10.67% true odds
- Hop 5: Any seven (5:4) x Place 5 (3:8) = -17.39% true odds
- Hop 6: Any seven (5:4) x Place 6 (2:3) = -10.67% true odds
- Hop 8: Any seven (5:4) x Place 8 (5:23) = -27.73% true odds
- Hop 9: Any seven (5:4) x Place 9 (3:8) = -17.39% true odds
House Edge
The house edge for a hop bet is determined by the combined odds of the any seven and place bets. Since the odds are generally against the player, the house maintains an advantage.
- Hop 4: House edge approximately 2.47%
- Hop 5: House edge approximately 3.49%
- Hop 6: House edge approximately 2.47%
- Hop 8: House edge approximately 4.67%
- Hop 9: House edge approximately 3.49%
Conclusion
Single roll specific outcome betting, as it relates to hop bets in craps, is a complex process that involves understanding the probabilities and payouts for both any seven and place bets. By calculating the combined odds of these two separate wagers, we can determine the true house edge for each individual hop bet.
Whether you’re an experienced craps player or just starting out, it’s essential to have a solid grasp on these calculations to make informed betting decisions. Remember that while hop bets offer attractive payouts, they also come with higher risks due to their built-in house advantage.
In our next article, we’ll delve into another aspect of hop bet calculations: multi-roll specific outcome betting and the intricacies of progressive odds bets. Stay tuned for more in-depth analysis of craps math and strategy!
