Odds Of Winning On Roulette Machine
- House Odds Roulette
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Do you enjoy playing roulette? Do you enjoy winning? If you like roulette and want to win while playing you need to understand the odds.
Roulette odds of winning are determined by a number of factors. The main three factors are the numbers, your bets, and your system of play. In order to understand how each of these variables impact your odds, let’s take a look at them one at a time
- Roulette is a drain on your wallet simply because the game doesn’t pay what the bets are worth. With 38 numbers (1 to 36, plus 0 and 00), the true odds of hitting a single number on a straight-up bet are 37 to 1, but the house pays only 35 to 1 if you win!
- William Hill roulette machines and Bet Fred roulette machines use the same software, with some land bookies using a separate supplier for their roulette machines. This gives two distinct versions of FOBT (Fixed Odds Betting Terminal) software. As such, roulette machine cheats may work on some betting terminals but not others.
Jan 20, 2017 Roulette is one of the easiest casino games to play, and the odds are also fairly good. Your odds of winning are better in a European casino with a single-zero wheel. Each slot machine is. Jun 09, 2017 Here we list and explain 7 ways to improve your odds of winning games in a casino. Includes which bets and games are best. Toggle navigation. Play European Roulette Instead of American Roulette. But video poker machines, if you play them correctly and choose the games with the best pay tables, pay back much more than that. In short, roulette odds of winning are based on a number of factors, but the most important one is being able to shift the house advantage in your favor by using science to increase your chances of predicting the correct number the ball will land on. Your odds of winning are better than this, as you can hit five bells, five whistles or five of any other set of symbols, so on this machine your odds of any set of five are actually 5 x 0.032%, or 0.16%. So once in every 625 spins of this hypothetical machine, you’ll hit your set of five identical symbols for the jackpot.
Roulette Odds of Winning and the Numbers
The first thing that impacts your odds are the numbers. The good news is that roulette is a very basic game with easily calculable and standardized odds. These odds are found by taking the number of potential winning scenarios and dividing that number by the number of possible scenarios.
Before we look at the specific numbers, let’s look at the wheel. There are two main variations of the roulette wheel and they each have their own odds. The European wheel has 36 numbered slots with an alternating red and black pattern. The numbers are arranged in a pattern that keeps them mixed up. The wheel also has one green space on it. This space is number zero. When added up, there are 37 total spaces on the wheel.
On an American roulette wheel, there are the same number of red and black spaces although they are laid out in a different pattern. The main difference is the addition of a second green slot. There is still the green zero, but the American roulette wheel has a green double zero as well. There are a total of 38 colored and numbered spaces on the American wheel. San ramon ca restaurants.
Since the odds are based on the number of positive situations divided by the number of potential situations, let’s look at an example. If you were betting a simple “Even” bet, you would be betting that the ball would land in any one of the red or black even slots. The green zero or double zero spaces do not count as an even or an odd space, but as a loss on all of these types of bets. This means that there are 18 even spaces on the wheel. On an American wheel, your odds of success are 18/38; 18/37 on a European wheel. In percents, you have a 47.37 percent chance of winning this bet on an American wheel and a 48.65 percent chance of winning with this bet on a European wheel.
Roulette Odds of Winning and Your Bets
In roulette odds of winning are not truly impacted by your betting strategy, but your odds of winning money are. The difference is that you can win a spin and still lose money. Consider the following scenario.
You put money $20 each on Red, Even, the first half numbers 1-18, and the individual numbers 2, 4, 6, 8, and 10. That’s a $160 worth of bets. The ball lands on red 27. You win the even money bet on red but lose the rest. You have effectively just lost $120 even though you “won” a bet.
It is very important to understand that roulette odds of winning do not change from spin to spin regardless of what the previous outcome was. Even if red is spun 80 times in a row, the next spin has the exact same odds that a red, black, or green will be spun. The same is true for evens, odds, or any of the individual numbers. If your betting strategy is based on a number or color “being due” or any other sort of fuzzy math, you will find that the odds do not work in your favor. After all, the house has an edge on each and every spin.
Roulette Odds of Winning and Your System of Play
As already mentioned, if your system of play is based on fuzzy math, you still have a chance of winning each and every time, but the house has the edge. In the end, they will own your bankroll unless you get really lucky. There is a system of play, however, that defeats the odds. It’s not a “secret system” or a “trick”, in fact, there are sites that promote this truth for free and offer aids in helping you use it. The system is called: science. That’s right, science, specifically physics, can beat the roulette wheel. The good news is that you don’t need to be a physicist to use the knowledge.
By learning a few simple methods of calculating where the ball is going to drop based on the spin speed of the wheel, wheel bias, a dealer signature, or ball bounce, you can greatly increase your odds of winning on many roulette wheels.
Computer software can increase your accuracy and speed and help you beat even more wheels, and roulette computers will beat most wheels in existence. Granted, you can’t get caught using them.
In short, roulette odds of winning are based on a number of factors, but the most important one is being able to shift the house advantage in your favor by using science to increase your chances of predicting the correct number the ball will land on.
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Introduction
The following table shows the house edge of most casino games. For games partially of skill perfect play is assumed. See below the table for a definition of the house edge.
Casino Game House Edge
| Game | Bet/Rules | House Edge | Standard Deviation |
|---|---|---|---|
| Baccarat | Banker | 1.06% | 0.93 |
| Player | 1.24% | 0.95 | |
| Tie | 14.36% | 2.64 | |
| Big Six | $1 | 11.11% | 0.99 |
| $2 | 16.67% | 1.34 | |
| $5 | 22.22% | 2.02 | |
| $10 | 18.52% | 2.88 | |
| $20 | 22.22% | 3.97 | |
| Joker/Logo | 24.07% | 5.35 | |
| Bonus Six | No insurance | 10.42% | 5.79 |
| With insurance | 23.83% | 6.51 | |
| Blackjacka | Liberal Vegas rules | 0.28% | 1.15 |
| Caribbean Stud Poker | 5.22% | 2.24 | |
| Casino War | Go to war on ties | 2.88% | 1.05 |
| Surrender on ties | 3.70% | 0.94 | |
| Bet on tie | 18.65% | 8.32 | |
| Catch a Wave | 0.50% | d | |
| Craps | Pass/Come | 1.41% | 1.00 |
| Don't pass/don't come | 1.36% | 0.99 | |
| Odds — 4 or 10 | 0.00% | 1.41 | |
| Odds — 5 or 9 | 0.00% | 1.22 | |
| Odds — 6 or 8 | 0.00% | 1.10 | |
| Field (2:1 on 12) | 5.56% | 1.08 | |
| Field (3:1 on 12) | 2.78% | 1.14 | |
| Any craps | 11.11% | 2.51 | |
| Big 6,8 | 9.09% | 1.00 | |
| Hard 4,10 | 11.11% | 2.51 | |
| Hard 6,8 | 9.09% | 2.87 | |
| Place 6,8 | 1.52% | 1.08 | |
| Place 5,9 | 4.00% | 1.18 | |
| Place 4,10 | 6.67% | 1.32 | |
| Place (to lose) 4,10 | 3.03% | 0.69 | |
| 2, 12, & all hard hops | 13.89% | 5.09 | |
| 3, 11, & all easy hops | 11.11% | 3.66 | |
| Any seven | 16.67% | 1.86 | |
| Double Down Stud | 2.67% | 2.97 | |
| Heads Up Hold 'Em | Blind pay table #1 (500-50-10-8-5) | 2.36% | 4.56 |
| Keno | 25%-29% | 1.30-46.04 | |
| Let it Ride | 3.51% | 5.17 | |
| Pai Gowc | 1.50% | 0.75 | |
| Pai Gow Pokerc | 1.46% | 0.75 | |
| Pick ’em Poker | 0% - 10% | 3.87 | |
| Red Dog | Six decks | 2.80% | 1.60 |
| Roulette | Single Zero | 2.70% | e |
| Double Zero | 5.26% | e | |
| Sic-Bo | 2.78%-33.33% | e | |
| Slot Machines | 2%-15%f | 8.74g | |
| Spanish 21 | Dealer hits soft 17 | 0.76% | d |
| Dealer stands on soft 17 | 0.40% | d | |
| Super Fun 21 | 0.94% | d | |
| Three Card Poker | Pairplus | 7.28% | 2.85 |
| Ante & play | 3.37% | 1.64 | |
| Video Poker | Jacks or Better (Full Pay) | 0.46% | 4.42 |
| Wild Hold ’em Fold ’em | 6.86% | d |
Notes
| a | Liberal Vegas Strip rules: Dealer stands on soft 17, player may double on any two cards, player may double after splitting, resplit aces, late surrender. |
| b | Las Vegas single deck rules are dealer hits on soft 17, player may double on any two cards, player may not double after splitting, one card to split aces, no surrender. |
| c | Assuming player plays the house way, playing one on one against dealer, and half of bets made are as banker. |
| d | Yet to be determined. |
| e | Standard deviation depends on bet made. |
| f | Slot machine range is based on available returns from a major manufacturer |
| g | Slot machine standard deviation based on just one machine. While this can vary, the standard deviation on slot machines are very high. |
House Edge
The house edge is defined as the ratio of the average loss to the initial bet. The house edge is not the ratio of money lost to total money wagered. In some games the beginning wager is not necessarily the ending wager. For example in blackjack, let it ride, and Caribbean stud poker, the player may increase their bet when the odds favor doing so. In these cases the additional money wagered is not figured into the denominator for the purpose of determining the house edge, thus increasing the measure of risk.
The reason that the house edge is relative to the original wager, not the average wager, is that it makes it easier for the player to estimate how much they will lose. For example if a player knows the house edge in blackjack is 0.6% he can assume that for every $10 wager original wager he makes he will lose 6 cents on the average. Most players are not going to know how much their average wager will be in games like blackjack relative to the original wager, thus any statistic based on the average wager would be difficult to apply to real life questions.
The conventional definition can be helpful for players determine how much it will cost them to play, given the information they already know. However the statistic is very biased as a measure of risk. In Caribbean stud poker, for example, the house edge is 5.22%, which is close to that of double zero roulette at 5.26%. However the ratio of average money lost to average money wagered in Caribbean stud is only 2.56%. The player only looking at the house edge may be indifferent between roulette and Caribbean stud poker, based only the house edge. If one wants to compare one game against another I believe it is better to look at the ratio of money lost to money wagered, which would show Caribbean stud poker to be a much better gamble than roulette.
Many other sources do not count ties in the house edge calculation, especially for the Don’t Pass bet in craps and the banker and player bets in baccarat. The rationale is that if a bet isn’t resolved then it should be ignored. I personally opt to include ties although I respect the other definition.
Element of Risk
For purposes of comparing one game to another I would like to propose a different measurement of risk, which I call the 'element of risk.' This measurement is defined as the average loss divided by total money bet. For bets in which the initial bet is always the final bet there would be no difference between this statistic and the house edge. Bets in which there is a difference are listed below.
Element of Risk
| Game | Bet | House Edge | Element of Risk |
|---|---|---|---|
| Blackjack | Atlantic City rules | 0.43% | 0.38% |
| Bonus 6 | No insurance | 10.42% | 5.41% |
| Bonus 6 | With insurance | 23.83% | 6.42% |
| Caribbean Stud Poker | 5.22% | 2.56% | |
| Casino War | Go to war on ties | 2.88% | 2.68% |
| Heads Up Hold 'Em | Pay Table #1 (500-50-10-8-5) | 2.36% | 0.64% |
| Double Down Stud | 2.67% | 2.13% | |
| Let it Ride | 3.51% | 2.85% | |
| Spanish 21 | Dealer hits soft 17 | 0.76% | 0.65% |
| Spanish 21 | Dealer stands on soft 17 | 0.40% | 0.30% |
| Three Card Poker | Ante & play | 3.37% | 2.01% |
| Wild Hold ’em Fold ’em | 6.86% | 3.23% |
Standard Deviation
The standard deviation is a measure of how volatile your bankroll will be playing a given game. This statistic is commonly used to calculate the probability that the end result of a session of a defined number of bets will be within certain bounds.
The standard deviation of the final result over n bets is the product of the standard deviation for one bet (see table) and the square root of the number of initial bets made in the session. This assumes that all bets made are of equal size. The probability that the session outcome will be within one standard deviation is 68.26%. The probability that the session outcome will be within two standard deviations is 95.46%. The probability that the session outcome will be within three standard deviations is 99.74%. The following table shows the probability that a session outcome will come within various numbers of standard deviations.
I realize that this explanation may not make much sense to someone who is not well versed in the basics of statistics. If this is the case I would recommend enriching yourself with a good introductory statistics book.
Standard Deviation
House Odds Roulette
| Number | Probability |
|---|---|
| 0.25 | 0.1974 |
| 0.50 | 0.3830 |
| 0.75 | 0.5468 |
| 1.00 | 0.6826 |
| 1.25 | 0.7888 |
| 1.50 | 0.8664 |
| 1.75 | 0.9198 |
| 2.00 | 0.9546 |
| 2.25 | 0.9756 |
| 2.50 | 0.9876 |
| 2.75 | 0.9940 |
| 3.00 | 0.9974 |
| 3.25 | 0.9988 |
| 3.50 | 0.9996 |
| 3.75 | 0.9998 |
Hold
Although I do not mention hold percentages on my site the term is worth defining because it comes up a lot. The hold percentage is the ratio of chips the casino keeps to the total chips sold. This is generally measured over an entire shift. For example if blackjack table x takes in $1000 in the drop box and of the $1000 in chips sold the table keeps $300 of them (players walked away with the other $700) then the game's hold is 30%. If every player loses their entire purchase of chips then the hold will be 100%. It is possible for the hold to exceed 100% if players carry to the table chips purchased at another table. A mathematician alone can not determine the hold because it depends on how long the player will sit at the table and the same money circulates back and forth. There is a lot of confusion between the house edge and hold, especially among casino personnel.
Hands per Hour, House Edge for Comp Purposes
Casino Roulette Odds
The following table shows the average hands per hour and the house edge for comp purposes various games. The house edge figures are higher than those above, because the above figures assume optimal strategy, and those below reflect player errors and average type of bet made. This table was given to me anonymously by an executive with a major Strip casino and is used for rating players.
Hands per Hour and Average House Edge
Odds Of Winning Slots
| Games | Hands/Hour | House Edge |
|---|---|---|
| Baccarat | 72 | 1.2% |
| Blackjack | 70 | 0.75% |
| Big Six | 10 | 15.53% |
| Craps | 48 | 1.58% |
| Car. Stud | 50 | 1.46% |
| Let It Ride | 52 | 2.4% |
| Mini-Baccarat | 72 | 1.2% |
| Midi-Baccarat | 72 | 1.2% |
| Pai Gow | 30 | 1.65% |
| Pai Pow Poker | 34 | 1.96% |
| Roulette | 38 | 5.26% |
| Single 0 Roulette | 35 | 2.59% |
| Casino War | 65 | 2.87% |
| Spanish 21 | 75 | 2.2% |
| Sic Bo | 45 | 8% |
| 3 Way Action | 70 | 2.2% |
Odds Of Winning On Roulette Machine For Sale
Translation
A Spanish translation of this page is available at www.eldropbox.com.