If you are a gaming and gambling enthusiast, then it makes sense to spend some time reading this article. All gambling games are built on the foundations of probability and if you understand and master this basic concept, the chances of winning big money in various online casino games cannot be considered a rare possibility.
People fail to make big money in gambling, because they do not understand this concept and, even if they understand, they do not implement it properly. While, there are many online games and when it comes to probability, roulette is perhaps the closest as far as probability is concerned.
Fractional odds (1/X). The event occurs 1 time out of X amount of trials. Vegas world free online casino games. The fractional odds of a specific number appearing are 1/37, which means that it will happen 1 time out of 37 spins.) As you can see, fractional odds and ratio odds are pretty similar. Bet: Payout: European Roulette Odds (Chance of Winning) American Roulette Odds (Chance of Winning) Reds / Blacks (colour) 1:1: 48.65%: 47.37%: Evens / Odds.
All bets are placed based on probabilities, and it is all about betting on a number, which has a better probability of winning. It could also be a set of other numbers, colors or various positional groupings, which have a higher chance of roulette payouts.
A Brief Look at Its History
Roulette is a game, which had its origin in France during the 18th Century. It was perhaps a combination of Italian Board Games and English Wheel Games.
It brought together famous English games like Roly-Poly, E.O and ace of hearts and Italian board games such as Biribi and Hoca and that is how Roulette as we know it today took shape. In French, the term Roulette means small wheels.
Roulette Odds Payout Calculator
It is a casino game, where the gamblers must face outside or inside bets. The betting can be done on a single number or a set of numbers. The numbers could be odd or even and the gamblers can also choose black or red colors. The casino employee, who also is referred to as the croupier will be the one, who will take the bets.
He is responsible for the roulette payouts. He has the role of assisting gamers as far as setting the roulette table layout is concerned.
The croupier spin the wheel in one direction, and this is done to find out as to which the winning number is. The ball will be spun in the opposite direction.
The ball runs around the wheel circumference and once the spinning momentum is lost the ball will fall into one of the many pockets of the wheel. Once it settles in a certain pocket, the winning number will be identified. Now, let me tell a few words about roulette payout calculator app.
Roulette Payout Calculator App
Betting Odds Payout Calculator
There are basically two kinds of bets, and, as mentioned earlier, they are outside and inside bets. The inside bets basically deal with a variety of numbers, which are decided based on the position of the ball.
On the other hand, when we refer to outside bets, we are looking different positional groupings as far as the pockets are concerned. The color of the pockets and the combination of even and odd numbers are considered.
Something about Payout Odds
The roulette payouts for which betting are done based on the probability or, in other words, the chance as far as a number is concerned. Though, there is an element of good fortune and luck involved in roulette payouts, if the game is played with a good strategy, it is quite likely, that the chances of making money are quite good.
You have to find out ways and means by which you can literally steal the money from the roulette table, because money will not be given to you on a platter. For this to happen apart from other things, you also need to have a reasonably good understanding about roulette odds payout calculator and merge the same with the right strategy.
Understanding the Best Bets
There is nothing such as total luck or total strategy, which will help a person to win big money in a roulette. It is a combination of both, and a lot would depend on how the first wagering was done and how and where the chip was placed on the mat.
As far as payouts are concerned, straight bets have the highest payout yields. This is simply, because they have the most difficult roulette odds payout. When learning, how to calculate roulette payout odds, one should learn more about the straight bet.
This is about picking one number out of 36 and then trying to win out of that number. The players can choose zero or even double zero. The payout ratio is usually 35 to 1. In other words, if you have wagered $20, you can win $700.
Though the returns are fabulous, the odds of winning in 38 chances and this is what you should understand. Only when you have money to burn, should you choose this option. Talking about other casino roulette odds payout on should also have some basic idea of splitting the bet.
This increases the chance of winning and has a much higher p0ayout. It is about learning, how to place the chip between two numbers as far as the board is concerned. If the ball lands on either of these numbers, you will be eligible for 17 is to 1 ratio of payout.
You could even modify it a bit further and opt for corner bet, which is about all the four corners of each number meeting. This will result in 8 to 1 odd, which make the chances of winning that much higher and better.
Opting for Color Bet
The simplest and easiest way to make some money in roulette is to opt for betting on colors, either black or red.
However, roulette payouts are very low here. 5dimes withdrawal review. If you wager $20 and win, you get back $40, which is double but still lower, than other types of roulette payout odds.
Hence, you must spend some time understanding the various types of payout and then decide to move forward. This will take some time, but it is worth it rather, than hurrying through the process and making a mess out of it and ending up losing in the bargain.
By Ion Saliu, Founder of Roulette Mathematics
This question was posted in mathematical newsgroups (alt.math.recreational, alt.math.undergrad, alt.sci.math.probability): 'Winning and Quitting on Red/Black in Roulette'.
'Obviously in roulette betting on in the long run you are going to lose your money but at some point chances are you'll be in profit. To take an extreme example if you had $1000 you could reasonably expect to be up $1 at some point. Is it possible to generalize this? I want to win W dollars at which point I will quit. How much cash C would I need to have probability P of succeeding? Let's say I'm betting on a 37 number roulette wheel (18 red 18 black and one green 0)?'
On the surface, the best probability for the roulette player to be ahead is in one trial (spin): 48.6% to win (versus 51.4% to lose), as far as even-money betting is concerned. I don't agree that it is the best strategy (betting all your bankroll on one spin).
Theoretically, no bankroll will put a player ahead guaranteed, IF flat-betting and playing very long consecutive sessions. There are moments, however, when the roulette player can be ahead by at least one betting unit. Even in even-money bets, the player has a good chance to be ahead by at least one unit after 5, or 10, or even 100 spins. But more than 20 spins are NOT recommended; the probability (odds) to lose go(es) above 50%! Think about it!
The main thing, mathematically, is the number of player's wins in N trials. To be ahead, means the player has won at least one more roulette spin (number of successes) than the number of losses in N trials. The question then becomes:
'What are the probabilities for the player to be ahead in various numbers of trials?'
Everybody can use my probability software SuperFormula, option L: At Least M successes in N trials. Winning probability: p = 18/37; M must be at least (N/2) + 1. Here is a number of cases from the player's perspective.
The figures are applicable to all even-money roulette bets: black or red; even or odd; low or high (1-18 or 19-36).
1 trial (spin) - probability (odds) to win: 48.6%; odds = 1 in 2.05 - probability (odds) to lose: 51.4%; odds = 1 in 1.95 (the probability to lose is 19/37; adding zero to unfavorable cases).
2 trials (spins) - probability (odds) to win 2 of 2: 23.7% (1 of 2 doesn't mean 'being ahead') - probability (odds) to lose 1 of 2: 76.3%
3 spins - probability (odds) to win at least 2 of 3: 48% - probability (odds) to lose at least 2 of 3: 52%
10 spins - probability (odds) to win at least 6 of 10: 34.4%; odds = 1 in 2.91 - probability (odds) to lose at least 6 of 10: 41.1%; odds = 1 in 2.43
20 spins - probability (odds) to win at least 11 of 20: 36.5% - probability (odds) to lose at least 11 of 20: 46.2%
100 spins - probability (odds) to win at least 51 of 100: 35.5%; odds = 1 in 2.82 - probability (odds) to lose at least 51 of 100: 56.8%; odds = 1 in 1.76. It's getting worse for the player..
The roulette strategy (or system) is a totally different ball game! But there are professional gamblers out there, including roulette players! They must have strategies, some roulette systems deduced from some figures like the ones above! The player can be ahead at any point in the game. If so, maybe it's time to move to another (or casino) table: It improves the odds of winning!
Always keep track of the losing and winning streaks. Be strong and put an end to a winning streak. You are ahead, you quit the roulette table. Go to another table and wait until you are ahead. The bankroll is of the essence: It must assure going through long losing streaks. Divide the streaks in 10 spins or 20 spins. Never fight aggressively short or mid-term losing streaks. This is the best approach for those who do not know Ion Saliu's casino gambling systems. A good approach to gambling is the next best thing to a good gambling system! Applicable to blackjack and baccarat, too!
Axiomatic one, everybody knows that the casinos have an edge or house advantage (HA) in all the games they offer, roulette including. The house advantage is created by the payouts in rapport to total possibilities for the respective bet. We can apply this simple formula based on units paid UP over total possibilities TP:
HA = 1 – (UP / TP) (always expressed as a percentage.)
For example, in single-zero roulette, the one-number (straight-up) bet has payout of 35 to 1. The to qualifier is very important: the casino pays you 35 units and they give you back the unit you bet; thus, you get 36 units. There are 37 possibilities in single-zero roulette: 36 numbers from 1 to 36 plus the 0 number. Therefore, HA = 1 – (UP / TP) = 1 – (36 / 37) = 1 – 0.973 = 0.027 = 2.7%.
Let's calculate HA for the 1 to 1 bets: black/red, even/odd, low/high. HA = 1 – (UP / TP) = 1 – (2 / 2.055) = 1 – 0.973 = 0.027 = 2.7%. There are little differences among bets depending on how many decimal points we work with in our calculations.
The point is, the casinos have an advantage, or the players have a disadvantage. Nonetheless, the players' disadvantage is far better than what they face in state-run lotteries. Yet, most casino gamblers lose big, including at roulette tables. They do not have sufficient bankrolls to withstand long losing streaks.
However, around 45% of the roulette numbers lead the gamblers to profits in a few thousand spins. That is, with a sufficient bankroll, a player has a pretty good chance to make a profit, even if playing a random roulette number, or a favorite number. I analyzed about 8000 roulette spins from Hamburg Spielbank (casino). Quite a few numbers ended up making a profit: roulette systems, magic numbers.
By contrast, the more lottery drawings a player plays, the higher the degree of certainty of a loss. Let's make a comparative analysis to the roulette long series above (spins: total roulette numbers, 37, multiplied by 200). If playing the pick-3 lottery for some 100,000 drawings, it is guaranteed that all pick-3 straight sets will be losers. Some numbers will hit up to 3% to 5% above the norm — but that is not nearly enough to assure a profit. A frequency of 3% to 5% above the norm leads to profits in roulette, however.
Ion Saliu's Paradox and Roulette
Roulette Payout Chart
Ion Saliu's Paradox of N Trials is presented in detail at saliu.com, especially the probability theory page and the mathematics of gambling formula. If p = 1 / N, we can discover an interesting relation between the degree of certainty DC and the number of trials N. The degree of certainty has a limit, when N tends to infinity. That limit is 1 — 1/e, or approximately 0.632..
Roulette Odds Payout Calculator Express Entry
If you play 1 roulette number for the next 38 spins, common belief was that you expected to win once. Not! Non! Only if you play 38 numbers in 1 spin, your chance to hit the winning number is 100%. Here is an interesting table, which includes also The Free Roulette System #1 presented at the main roulette site.
The maximum gain comes when playing 38 numbers in one spin: 36.3%. Obviously, it makes no sense to play that way because of the house advantage. On the other hand, a so-called wise gambler is more than happy to play one number at a time. What he does is simply losing slowly! Not only that, but losing slowly is accompanied by losing more. That cautious type of gambling is like a placebo. A roulette system such as Free System #1 scares most gamblers. 'Play 34 or 33 numbers in one shot? I'll have a heart attack!' In reality, the Free Roulette System #1 offers a 28.8% advantage over playing singular numbers in long sessions. That's mathematics, and there is no heart to worry about, axiomatic one.
You can also use SuperFormula to calculate all kinds of probabilities and advantage percentages. The option L — At least M successes in N trials is a very useful gambling instrument. If you play 19 numbers in one spin, the probability to win is 50%. If you play 19 numbers in 2 consecutive spins, the probability to win at least once is 75%.
Editor's note • In an apparent change of heart, the Hamburg casino (Spielbank) offers online roulette results for free. The new link is (for the time being!):