Casino Roulette Betting Strategy
Roulette is one of the oldest casino games still being played today, so it’s no surprise that, collectively speaking, more effort has gone into devising betting strategies and tactics for this game than virtually any other.
Many dedicated gamblers, some of them excellent mathematicians, have devoted their lives to finding the perfect roulette system that could guarantee they would consistently win money.
Players have tried to devise roulette betting systems to even the scale, but there's no roulette strategy that can beat the casino advantage. Does progressive betting on roulette work? Some players put their faith in progressive betting systems, but these strategies don't guarantee success at roulette.
- Casino Roulette Strategy. As far as we can remember the Roulette game started from the sixteenth century and was invented by Blaise Pascal. Today, hundreds of casinos on the internet feature the game of roulette and its different variations like America roulette online, European roulette online, French roulette online and progressive roulette games.
- Deciding on a roulette strategy will depend on your style of play. Some strategies are more aggressive and will need you to put more of your bankroll on the line. Others are considered slightly.
- However, there's a lot of volatility built into results. While a single-number bet will win an average of once per 38 spins, and an 18-number bet such as red or black once per 2.1 spins, 2G'$ will win only once per 361 spins. Here's the way it works. There are 38 numbers including 0 and 00 on a double-zero roulette wheel.
- Some players believe in their own strategy and manner of betting to make a profit, while others try to find other ways to beat the house. One of these strategies is to look at the dealer or croupier at the table and find patterns in the outcomes, this roulette strategy is called the Dealers Signature.
To the best of our knowledge, no one has ever succeeded. We don’t think anyone ever will, either. The reality is that roulette is just as popular with casino owners as it is with players for one simple reason – they consistently make money off the game.
There’s a built-in house edge in the game that basically guarantees the casino will always make money in the long run.
This doesn’t mean that it’s impossible to win money when playing roulette. Long winning streaks are perfectly possible, and they do indeed happen. What is impossible is to have a system that will guarantee that you win each and every time. Such a system simply does not exist.
There have been some very good books written about roulette strategy, and if you’re really interested in learning about the subject in depth, then you should look into reading some of these.
There are certain betting systems that some people like to use when playing roulette. These systems typically involve adjusting your bet size according to some kind of prescribed sequence and don’t actually have anything to do with what numbers you choose to bet on.
We don’t actively advise the use of such systems, as they’re fundamentally flawed and don’t really do anything to improve your chances of winning.
With that being said, there’s nothing particularly wrong with using them either, providing you accept them for what they are and don’t expect them to make you a fortune.
You do need to be careful with some of them, though, specifically the ones that involve increasing your stake after a losing bet. This can get very expensive if you lose a few bets in a row, so you’ve got to be prepared to stop when the stakes start getting too high for you.
If you do an internet search for “roulette strategy,” “roulette system,” or “how to win at roulette,” you’ll get thousands of results. Many of these websites will provide genuinely valuable and interesting insight into roulette strategy, but many more of them will probably be only a few lines about the various betting systems you can use.
You’ll also find a number of websites that are trying to sell you a roulette system or some amazing secret. These websites will often claim that you can make huge amounts of money with their system.
The more clever ones try to at least make it more realistic with less bold claims, but they still promise that you can consistently make a profit by playing roulette.
We’ve already stated that there’s no system that can guarantee that you make money off of roulette, and we believe that anyone trying to tell you otherwise is only trying to sell something that will ultimately prove to be worthless.
Of course, there’s the remote possibility that we’re actually wrong and such systems do exist. We very much doubt it, but let’s assume that is the case.
They would surely be making so much money out of their system that they wouldn’t need to go to the effort of selling their system for a few extra bucks.
As such, we’re confident that we are right to believe that anyone selling such a “system” is really just trying to rip you off. Please avoid these paid systems and don’t waste your money.
It’s widely accepted that the house will always win on roulette. As we mentioned earlier, this is because of the house edge that exists in the game; the player is basically always at a disadvantage.
The house edge exists because the true likelihood of making any winning roulette bet is actually less than the odds reflect.
Take a straight-up bet, for example. This pays out at 35:1 when it wins, so you would make $35 for every $1 staked (plus your stake back). However, the actual chances of that number hitting on a spin are 37:1 (or 2.70%) if playing with a single-zero wheel, or 38:1 (2.63%) if playing with a double-zero wheel. Assuming perfect probability, you would have to place this bet 37 times (or 38 times with a double zero) to win it once.
You would win $35 on that spin, but you would lose $1 on each of the other 36 spins (37 spins with a double zero), for a total loss of $1 ($2 with a double zero). Of course, because each spin of the roulette wheel is a completely random outcome, the probability isn’t going to be exact.
It’s quite possible the number you are betting on will hit more than once during a 37 or 38 spin cycle. It’s also possible that it won’t hit at all.
In the very long run, however, the actual results will be reasonably close to the expected probability. This is why the casino can be confident of making money in the long run; mathematically speaking, the odds are in their favor.
On rare occasions, a player or a number of players wins big. In extreme circumstances, the casino might even have a sustained period of losses. Over time, though, the laws of probability will apply and they will make money.
The house edge isn’t the only reason why no system can guarantee that you can win consistently at roulette. Indeed, it’s arguably not even the biggest reason.
Casino Roulette Betting Strategy Tips
Most people who have studied roulette to any degree, and particularly those who look at things from strictly a mathematical perspective, would say that the house edge is precisely why it’s not possible to beat roulette and why no system can work.
In some respects, they’re correct; however, we have a slightly different view.
Casino Roulette Betting Strategy Poker
This is because it’s the house that gets to see enough results for probability to effectively even itself out. They have multiple tables with many players making numerous bets, and as such, statistical variance and standard deviation aren’t really issues for them. Statistical variance and standard deviation, in basic terms, describe how actual results differ from expected results in the short term.
For example, in 370 spins of a roulette wheel (single zero), the expectation is that each number will come up ten times. This means that, in theory, the zero will come up ten times. Of the remaining 360 spins, 180 would be red and 180 would be black. 180 would be odd and 180 would be even.
180 would be high and 180 would be low. However, in practice, the chances of each number coming up exactly ten times in 370 spins are tiny.
To put it another way, it’s quite probable that in 370 spins there will be a significant deviation from the expected results. As the number of spins gets smaller, the chances of a significant deviation get even greater.
So while it’s incredibly unlikely you would ever see a black number come up 370 times in a row, it’s not at all uncommon for a black number to come up six times in a row.
Most roulette players don’t play anywhere near enough to be at all confident of seeing expected results. Even if you played for 100 spins every day for a year, you still wouldn’t see enough spins for probability to even itself out.
Even if there was no house edge and the casino paid out at the true odds rather than the reduced odds they use to give them the advantage, it would still be impossible to have a system that was guaranteed to make you win.
You should win more (or lose less) in the long run without a house edge, as you will get paid more on your winning bets, but you would still not be able to guarantee a win unless you had an infinite amount of money and an infinite amount of time.
This is because no system can ever predict the outcome of the next spin (unless cheating is involved, of course) because it’s impossible to accurately predict the outcome of a truly random event with any degree of certainty.
Even if a black number came up fifteen times in a row, you still could not be sure that the next number would be red.
The key to success is not in trying to devise some magical system, but in doing whatever you can to make the most of your good luck when you get it.
You should not waste your time trying to come up with a roulette system that will guarantee that you win. Instead, you should focus on using strategies that maximize your chances of winning.
Once you accept that you’ll never be able to guarantee consistent winnings from playing roulette, you can focus on the most important things. First, you should be thinking about what you can do to maximize your chances of winning.
If you can’t be sure of winning, you should at least try to give yourself the best chance to. Second, you should try to see playing roulette as a form of entertainment and view any winnings you do make simply as a welcome bonus.
The question is what you can actually do to improve your chances, as we’ve established that the house edge is against you and that you can’t reasonably expect to predict the outcome of a spin or series of spins with any accuracy.
In our opinion, there’s only one real strategy that will definitely give you a better chance of winning, and that’s money management.
We don’t believe it really matters what method you use to select which wagers you make, and we don’t believe it really matters if you choose to use a betting system or not. The thing that genuinely matters and will help you to walk away a winner is having the discipline to manage your money properly.
The fact is that, while it’s very difficult to stop when you’re winning, it’s possibly even harder when you’re losing. You absolutely have to try to stop at the right time. You should ideally have stop limits in place so that once you’ve won or lost a certain amount, you simply walk away from the table.
There’s no particular formula for setting these limits; it’s really just a matter of what you’re comfortable with.
By simply being disciplined with your money and knowing when to quit while you’re ahead and when to cut your losses, you’ll almost certainly do better in the long run. It’s all too easy to start chasing losses when you’re behind, but this tends to end badly.
You’re not certain to start winning just because you’ve been losing, and if you keep increasing your stakes and continue to lose, then you’ll go bust eventually.
It’s just as easy to want to keep on playing when you’re winning, too. Your luck is quite likely to turn at some point, though, so it really is a good idea to try to stop before you give everything back.
If you really can’t stand the idea of stopping when on a winning streak, then you should at least have some kind of system that makes you take a certain percentage of your money off the table after winning a certain amount and then just play with the amount you have left.
A martingale is any of a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses it if the coin comes up tails. The strategy had the gambler double the bet after every loss, so that the first win would recover all previous losses plus win a profit equal to the original stake. The martingale strategy has been applied to roulette as well, as the probability of hitting either red or black is close to 50%.
Since a gambler with infinite wealth will, almost surely, eventually flip heads, the martingale betting strategy was seen as a sure thing by those who advocated it. None of the gamblers possessed infinite wealth, and the exponential growth of the bets would eventually bankrupt 'unlucky' gamblers who chose to use the martingale. The gambler usually wins a small net reward, thus appearing to have a sound strategy. However, the gambler's expected value does indeed remain zero (or less than zero) because the small probability that the gambler will suffer a catastrophic loss exactly balances with the expected gain. In a casino, the expected value is negative, due to the house's edge. The likelihood of catastrophic loss may not even be very small. The bet size rises exponentially. This, combined with the fact that strings of consecutive losses actually occur more often than common intuition suggests, can bankrupt a gambler quickly.
Intuitive analysis[edit]
The fundamental reason why all martingale-type betting systems fail is that no amount of information about the results of past bets can be used to predict the results of a future bet with accuracy better than chance. In mathematical terminology, this corresponds to the assumption that the win-loss outcomes of each bet are independent and identically distributed random variables, an assumption which is valid in many realistic situations. It follows from this assumption that the expected value of a series of bets is equal to the sum, over all bets that could potentially occur in the series, of the expected value of a potential bet times the probability that the player will make that bet. In most casino games, the expected value of any individual bet is negative, so the sum of many negative numbers will also always be negative.
The martingale strategy fails even with unbounded stopping time, as long as there is a limit on earnings or on the bets (which is also true in practice).[1] It is only with unbounded wealth, bets and time that it could be argued that the martingale becomes a winning strategy.
Mathematical analysis[edit]
The impossibility of winning over the long run, given a limit of the size of bets or a limit in the size of one's bankroll or line of credit, is proven by the optional stopping theorem.[1]
Mathematical analysis of a single round[edit]
Let one round be defined as a sequence of consecutive losses followed by either a win, or bankruptcy of the gambler. After a win, the gambler 'resets' and is considered to have started a new round. A continuous sequence of martingale bets can thus be partitioned into a sequence of independent rounds. Following is an analysis of the expected value of one round.
Let q be the probability of losing (e.g. for American double-zero roulette, it is 20/38 for a bet on black or red). Let B be the amount of the initial bet. Let n be the finite number of bets the gambler can afford to lose.
The probability that the gambler will lose all n bets is qn. When all bets lose, the total loss is
The probability the gambler does not lose all n bets is 1 − qn. In all other cases, the gambler wins the initial bet (B.) Thus, the expected profit per round is
Whenever q > 1/2, the expression 1 − (2q)n < 0 for all n > 0. Thus, for all games where a gambler is more likely to lose than to win any given bet, that gambler is expected to lose money, on average, each round. Increasing the size of wager for each round per the martingale system only serves to increase the average loss.
Suppose a gambler has a 63 unit gambling bankroll. The gambler might bet 1 unit on the first spin. On each loss, the bet is doubled. Thus, taking k as the number of preceding consecutive losses, the player will always bet 2k units.
With a win on any given spin, the gambler will net 1 unit over the total amount wagered to that point. Once this win is achieved, the gambler restarts the system with a 1 unit bet.
With losses on all of the first six spins, the gambler loses a total of 63 units. This exhausts the bankroll and the martingale cannot be continued.
In this example, the probability of losing the entire bankroll and being unable to continue the martingale is equal to the probability of 6 consecutive losses: (10/19)6 = 2.1256%. The probability of winning is equal to 1 minus the probability of losing 6 times: 1 − (10/19)6 = 97.8744%.
The expected amount won is (1 × 0.978744) = 0.978744.
The expected amount lost is (63 × 0.021256)= 1.339118.
Thus, the total expected value for each application of the betting system is (0.978744 − 1.339118) = −0.360374 .
In a unique circumstance, this strategy can make sense. Suppose the gambler possesses exactly 63 units but desperately needs a total of 64. Assuming q > 1/2 (it is a real casino) and he may only place bets at even odds, his best strategy is bold play: at each spin, he should bet the smallest amount such that if he wins he reaches his target immediately, and if he doesn't have enough for this, he should simply bet everything. Eventually he either goes bust or reaches his target. This strategy gives him a probability of 97.8744% of achieving the goal of winning one unit vs. a 2.1256% chance of losing all 63 units, and that is the best probability possible in this circumstance.[2] However, bold play is not always the optimal strategy for having the biggest possible chance to increase an initial capital to some desired higher amount. If the gambler can bet arbitrarily small amounts at arbitrarily long odds (but still with the same expected loss of 1/19 of the stake at each bet), and can only place one bet at each spin, then there are strategies with above 98% chance of attaining his goal, and these use very timid play unless the gambler is close to losing all his capital, in which case he does switch to extremely bold play.[3]
Alternative mathematical analysis[edit]
The previous analysis calculates expected value, but we can ask another question: what is the chance that one can play a casino game using the martingale strategy, and avoid the losing streak long enough to double one's bankroll.
As before, this depends on the likelihood of losing 6 roulette spins in a row assuming we are betting red/black or even/odd. Many gamblers believe that the chances of losing 6 in a row are remote, and that with a patient adherence to the strategy they will slowly increase their bankroll.
In reality, the odds of a streak of 6 losses in a row are much higher than many people intuitively believe. Psychological studies have shown that since people know that the odds of losing 6 times in a row out of 6 plays are low, they incorrectly assume that in a longer string of plays the odds are also very low. When people are asked to invent data representing 200 coin tosses, they often do not add streaks of more than 5 because they believe that these streaks are very unlikely.[4] This intuitive belief is sometimes referred to as the representativeness heuristic.
Anti-martingale[edit]
This is also known as the reverse martingale. In a classic martingale betting style, gamblers increase bets after each loss in hopes that an eventual win will recover all previous losses. The anti-martingale approach instead increases bets after wins, while reducing them after a loss. The perception is that the gambler will benefit from a winning streak or a 'hot hand', while reducing losses while 'cold' or otherwise having a losing streak. As the single bets are independent from each other (and from the gambler's expectations), the concept of winning 'streaks' is merely an example of gambler's fallacy, and the anti-martingale strategy fails to make any money. If on the other hand, real-life stock returns are serially correlated (for instance due to economic cycles and delayed reaction to news of larger market participants), 'streaks' of wins or losses do happen more often and are longer than those under a purely random process, the anti-martingale strategy could theoretically apply and can be used in trading systems (as trend-following or 'doubling up'). (But see also dollar cost averaging.)
See also[edit]
References[edit]
- ^ abMichael Mitzenmacher; Eli Upfal (2005), Probability and computing: randomized algorithms and probabilistic analysis, Cambridge University Press, p. 298, ISBN978-0-521-83540-4, archived from the original on October 13, 2015
- ^Lester E. Dubins; Leonard J. Savage (1965), How to gamble if you must: inequalities for stochastic processes, McGraw Hill
- ^Larry Shepp (2006), Bold play and the optimal policy for Vardi's casino, pp 150–156 in: Random Walk, Sequential Analysis and Related Topics, World Scientific
- ^Martin, Frank A. (February 2009). 'What were the Odds of Having Such a Terrible Streak at the Casino?'(PDF). WizardOfOdds.com. Retrieved 31 March 2012.