How Much Do You Win In Roulette If You Hit A Number

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The goal of this post is to offer you the best roulette strategy ever.

I read somewhere that roulette is the 3rd most popular table game in the USA. In Europe, roulette is THE most popular table game. I recently took a look at the roulette survey at Wizard of Vegas, and as near as I can tell from the table, there are about 300 roulette tables in Las Vegas. That’s a lot.

European Roulette Payouts. European roulette wheels don’t have a double zero space so the odds are better for the player. It is the most popular type of roulette played at most of the online casinos, as the house edge and odds of winning make it the best choice for avid players.

The most popular posts on this site so far have all been about the game. My post about the Hollandish system for roulette is the most-viewed post on the site, followed closely by my post about the best roulette systems. And while I’m proud of those posts, they don’t quite cover the subject I’m going to write about here today–the best roulette strategy ever.

Your odds of wining are 100%, which sounds great. But the payout for a single number bet is an unfair 35-1. So even when you win, you still lose money. Understanding Why No Bet Is Better Than Another. The “house edge” basically means “unfair payouts”. And you get an unfair payout for every roulette bet. If you play roulette and bet one unit on number 1-12 and 2 units on number 13-24 wouldn’t you then have 66.66% chance to break even or win. Atle from Porsgrunn, Norway Not quite. Roulette strategy to win. 100% hits on all game spin, all numbers covered by ratio. This is a strategy to win at roulette.This roulette winning strategy does. To calculate the payout of a single number bet on the European layout, you should know that the roulette table odds are 36 to 1. You should take away 1 from 36 to get 35, which is the payout rate. In a winning case scenario of a £10 single bet, you would win £350 (£10 x 35). Does the Zero have the lowest odds in roulette?

It’s true that this is a game of pure luck.

But you can be a successful roulette player.

All you need to do is find other roulette players who’ve succeed and implement the same strategy.

This post explains how to do that.

The Best Roulette Strategy Is a Biased Wheel System

I’ve read multiple accounts of players who have won 6 figures or more using a biased wheel strategy. They’ve won this money in Atlantic City, Las Vegas, and Monte Carlo.

Here’s the thing about this game:

There’s no such thing as a flawless roulette wheel. All mechanical devices are slightly imperfect. If you can find a wheel that’s imperfect enough, you can get an edge over the casino.

The best roulette strategy involves writing down numbers as they come up during play. Eventually, you’ll find a wheel where some numbers come up more often than they should statistically.

When that happens, you’ve got ’em!

Think about this, too:

Casinos discard decks of cards and dice multiple times each day.

Why?

Because of their physical imperfections.

Roulette wheels have physical imperfections, too, but they’re too expensive to replace that regularly.

And even a wheel that’s close to perfect when it’s first bought and installed develops a bias after the wear and tear of regular use.

My plan for the rest of this post is to look at a few examples of players who’ve used this “best roulette strategy” to see how they did it:

  • How much time did they spend “clocking” these wheels?
  • How did they bet once they detected a bias?
  • What kind of bankroll did they have to begin with?
  • How much money did they bet?
  • And how much money did they win?

How Much Money Did Vladimir Granec Win Playing Roulette?

Vladimir Granec Won money playing roulette at international casinos during the 1970s. Many huge, almost un-explainable casino losses were reported to Interpol and European police departments in France in 1975. Those complaints also started coming in from other countries, too, like Africa and Yugoslavia.

And it took these police years to catch up with Granec and his confederates.

In France in 1978, The Municipal Caisno in Canne and La Siesta in Antibes lost $3.2 million on their roulette tables. When you added in the losses on roulette from other French casinos, the total came to $6 million.

Of course, it’s not illegal to exploit a bias in a roulette wheel. It’s the casino’s responsibility to ensure their equipment works properly, and if they don’t, it’s on them.

But it IS illegal to create a bias in a roulette wheel, and that was apparently Granec’s big game. He had several confederates, at least one of whom was an expert mechanic. This mechanic was able to not only fix the wheel, but he was also able to “unfix” it after they’d won their money–leaving the casinos confused about what had happened.

To this day, no one knows how this crew got access to the roulette wheels to fix them. We do know what they did to fix them–they loosened the slots on the wheel to either side of the 20. (The 7 neighboring numbers were 9, 31, 14, 20, 1, 33, and 16.) To the croupiers, the player just seemed really lucky.

To try to thwart his luck, the croupier spun the roulette wheel faster, which had the effect of causing it to land in the desired series of numbers even more often than it should have.

Finally, in 1981, the police caught up with the ringleader of this scheme–Vladimir Granec–the so-called “King of Roulette.” He was a Czechoslovakian living in Munich. Granec had a storied career prior to his life as a roulette cheat–he’d been 2nd in command of the Czechoslovak Department of Radio Free Europe, owned casinos in both England and in Yugoslavia, and he ran a real estate business.

Vladimir Granec’s “Guidance” on What to Look for in a Roulette Number

They were finally able to arrest Granec in 1984. They took him to trial again in 1986 after failing to convict him in 1984. During his trial this time, he explained that he’d merely tracked where the ball landed. When he found a number that came up 10% more often than it was statistically supposed to, he started betting on it.

He was again acquitted.

The French courts were finally able to convict him when they found 3 of his confederates who were willing to testify against him. Each of them admitted that they’d worked for Granec in exchange for 2% to 20% of the winnings.

He was sentenced to 5 years in prison and charged a fine of $500,000.

But since he’d won over$10 million or more at the roulette tables, he’d come out way ahead. In fact, Vladimir Granec is the largest roulette winner in the history of the game.

This does not mean that I think the best roulette strategy is to cheat. But it’s hard to talk about biased wheels without telling the story of Vladimir Granec.

Watching the Wheels Go Round and Round

William Nelson Darnborough

Several winners demonstrated their best roulette strategies by just watching the wheel. One of them was William Nelson Darnborough. From 1904 to 1911 he beat roulette consistently. He won $415,000 from the Monte Carlo Casino alone. He was famous for how fast he placed his bets when the croupier started spinning the wheel.

Darnborough was a user of the “wheel-watcher system.”

Here’s how the wheel-watcher system works:

The bettor estimates the speed of the ball and the wheel relative to each other. Then he looks at the relative position of the ball compared to the numbers on the wheel. He then calculates the average point of fall for the ball. Once this is done, he immediately places his bet.

Users of the wheel watcher system lose more often than they win, but when they do hit a win, the amount compensates for the losses and then some.

They’re able to make these calculations within just 1 to 3 spins of the wheel.

How Much Do You Win In Roulette If You Hit A Number 1

The big trick was having a confederate or 2 to help place the bets. Otherwise, there’s not enough time to make the necessary mental calculations and place the necessary bets.

Edward Thorp

Another player to beat roulette was Edward Thorp, who’s better known for inventing card counting in blackjack. Thorp was a professor of both physics and mathematics at MIT. He and Claude Shannon, both professors, bought a regulation wheel in Reno, Nevada and set it up in Shannon’s basement.

They wrote an academic paper where they’d determined that they could reach a +15% expectation by betting on the 5 numbers they predicted the ball would land on–again, just by eyeballing the speed of the ball compared to the speed of the wheel. They were able to increase this to +44% by using a computer. (I should note that using a computer for such a purpose would be considered cheating in a real casino and would be illegal.)

You can read about their experiments in a book called The Eudaemonic Pie by Thomas A. Bass.

It recounts how in 1962, Thorp had already been banned from some casinos because of his card counting. But he used sunglasses and a fake beard as part of a disguise to get past this. And there were still some casinos where he hadn’t been banned.

Thorp and his friends spent a week at the Riviera. They had repeated problems with the wires in the microcomputers they were using, which were the size and shape of a cigarette case. They didn’t win at roulette and eventually gave up.

A later team of roulette players used the same principles with a computer that worked, though. They won $55,000 at the Valkenburg Casino in Holland. At another casino in Germany, the casino took countermeasures and stopped allowing players to make bets after the wheel had been spun.

It’s probably hard to become a wheel-watcher, but it’s probably not impossible, either. Laurence Scott wrote a book called How to Beat Roulette which explains a one-person and 2-person wheel-watcher system.

How Can You Become the Most Successful Roulette Player of All Time?

On an American roulette wheel, the probability of the ball landing on any specific number is 1/38.

If you can find a number where the ball lands 1/35 of the time, you’d have a clear bias. If you could find a number where the ball landed 1/30 of the time, you’d have a strong enough bias that you’d be playing at a significant advantage to the casino.

Here’s how the math works on that:

If the wheel is perfect, and the number comes up once every 38 spins, the house has an edge of 5.26%. You calculate that by taking a statistically perfect set of spins and averaging the amount lost per spin.

You win 35 to 1 on a single number bet, so your winnings (if you’re betting $100 per spin) would be $3500. But you’ll lose $3700 on your losing spins, for a net loss of $200. Averaged into 38 spins, you’re looking at an average loss of $5.26 per spin, or 5.26%.

But let’s do the math behind a number that comes up 1/30 of the time.

You’d win $3500 once, but you’d lose $2900 on the other 29 spins. That’s a net win of $600, or an edge of 15.78% over the casino. That’s a huge edge, by the way–far greater than you’d see counting cards in blackjack.

How to Find a Number that Comes Up More Often than It Statistically Should

But how do you find a number that’s actually biased?

In an average 8 hour session of play, you’ll see 300 to 350 spins on a roulette wheel. That’s not enough to accurately find a bias. In any set of 325 spins, about half the numbers on the wheel will come up more often than you’d expect. And half of them will come up less often than you’d expect.

That’s just variance.

Any given number then has a 50% chance of coming up more often than statistically likely during any given 8-hour shift.

But for a number to come up more often 2 days in a row, the probability becomes 50% X 50%, or 25%. For it to come up 3 days in a row, the probability drops to 12.5%.

This is just the probability that a number is coming up more often than it “should” just because of random chance.

Creating a Roulette Betting System Based on This

The casino provides cards for tracking which numbers come up as you’re playing. You’re going to keep track of how many times a specific number has come up.

After the first spin, the ball will have landed on a number once. That number is the number you bet on the next spin, because it’s the number that has come up most often. It’s unlikely that this number has a bias, because the wheel is still random.

When another number comes up, you switch to that number.

But as soon as a number has come up twice, you start betting on that number until another number has come up twice. Then you switch again.

Once a number has come up 3 times, it becomes the theoretically most likely number, and you switch to that number.

You continue to switch to the number that has come up most often throughout your time on the wheel.

The more spins that are made, the likelier it is that you’re betting on a biased number, increasing your probability of winning.

It might take several days of play for this system to bear fruit, but when it does, you can make a lot of money. Winning 35 to 1 on a 29 to 1 event is an advantage that most gamblers dream of.

This betting system comes from the book Beating the Wheel: Winning Strategies at Roulette by Russell T. Barnhart.

Keep in mind that this isn’t a foolproof system. You might be playing on a wheel that isn’t biased. You might be playing on a wheel that is biased, but you might still be unlucky.

Roulette Bankroll Management Guidelines

Of course, to place this many roulette bets, you’d need a bankroll sufficient to cover the action. At a $5 table, if you lost every spin, you’re looking at $1500 to $1750 in losses per day. (This assumes you’re playing for 8 hours day.)

Your goal, too, is to stay in action until your long-term edge kicks in. This means you don’t want to go broke just because you were unlucky. Even if you’re betting on a number that’s statistically more likely to come up, you could go broke during a cold streak.

In blackjack, card counters use “risk of ruin” as their guideline for how big a bankroll they need. They set a goal of 80%, 90%, 95% or 99%, which is their probability of NOT going broke before they run out of money. The number of betting units needed for each level goes up as your probability of not going broke goes up.

To best avoid going broke before your edge kicks in, you should have at least 200 units to bet with, but 700 to 1000 units would be even better.

You should also avoid betting on a single number throughout your play, as it will become obvious to the casino what you’re doing.

One method of camouflaging your play is to bet on the target number, one additional random number, and make a columns bet on the column containing your target number.

This, of course, requires a larger bankroll than if you were just betting a single number every time, so if you’re a $5 bettor, try to have $3500 to $5000 in your total bankroll to play with.

Finally

I can’t guarantee that the best roulette strategy will result in you becoming the most successful roulette player of all time. Modern roulette wheels tend to be well-made, after all. If you’re searching for a biased wheel, you should go to a smaller casino that only has a single wheel. You should also keep in mind that a wheel might not be biased at all.

You can easily go broke playing roulette, and all the theory in the world isn’t enough to win if you’re consistently unlucky.

At any rate, I wish you luck on the Devil’s Wheel.


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)?'
Roulette

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

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....

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!):

www.spielbank-hamburg.de/spielsaal/permanenzen.php4

• • Real-life roulette spins are also available from the Wiesbaden, Germany, Casino (Spielbank)

www.spielbank-wiesbaden.de/DE/621/Permanenzen2.php: Wiesbaden Spielbank Permanenzen

How Much Do You Win In Roulette If You Hit A Numbers

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