I would use a Martingale only on the even-money outside bets at roulette, the odd or even, high or low, red or black. These bets give the player 18 chances to win with 20 chances to lose on the American double-zero wheels and 18 chances to win with 19 chances to lose on the European Roulette (single-zero wheels). Obviously, if you can play the European wheel that is the preferred one as long as the betting ranges fit your bankroll.


 One of the most popular Roulette strategies, the Martingale system, is a fairly easy one to learn and replicate. The system itself is named after London casino owner John Henry Martindale, who encouraged players to double their bets after a loss. It works like this: simply place an even money bet, and if you lose, double your bet the next time round. If you win, place the exact same original bet on the next spin. Using this betting strategy will help you keep control of your bankroll, and while you may not win millions, you’ll be able to walk away with a healthy account balance – which most players would call a win in itself.
Make sure that you are playing in a reputable casino – or on a site that gives you a chance to win by having the random number generating software. In a real casino you may not be able to use the systems that cover all possible outcomes but with some practice, a disciplined approach and a little bit of what every roulette player needs – luck – you could find that it becomes your new favourite game.
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My goal with this roulette strategy is to keep you away from the devastating loss that the Martingale ultimately entails. Plenty of times on the two spins that you sit out there will be a winning spin – had you bet it. More times there won’t. Remember the casino has that edge on all of those even-money wagers. That fact should always be front and center in your mind. Never think you are playing an even game even on bets called “even-money” bets.  

Another example is expecting you’ll never see 37 different numbers appear in 37 spins. Firstly, it will happen just as often as any other sequence of 37 spins. So why would you favor one group of 37 numbers over another 37 numbers? There is no difference at all. Each spin is independent and with the same odds. It’s exactly the same as expecting to never see four reds in a row (RRRR). It may occur less often than a mixed sequence like BRRB or RBRB, but the odds of any specific sequence happening are exactly the same. So thinking one sequence is more rare than another is delusion.
The contribution of roulette towards this is very important. At one extreme you’ll find casinos which exclude roulette games entirely. Others weight the contribution to the play-through at a flat rate, for example, 10%. An alternative approach is to exclude bets which cover a certain amount of the wheel (for example 60% or more) and weight the mid-risk / low-risk bets.
Using those simple measurements and the equations presented in the paper, the researchers were able to predict which half of the roulette wheel the ball would end up in about 59% of the time. By betting strategically in accordance with those predictions, this enabled them to get an 18% return on their gambling. That's compared to a -2.7% return in the normal course of roulette gambling.
Some scammers will attempt to convince roulette players that betting trends can actually give them an edge even though the game is random. This section will explain why that can’t happen. Players should understand the bottom line of betting into a random game that has a house edge and that is – the house has the edge! Not too hard an idea to assimilate.
Columns don’t contain consecutive numbers – for example, the first column has 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, and 31 – and the number of red and black numbers differs between each column, a fact that we’ll cover in a moment. And remember, the 0 and 00 aren’t included in any of the columns because they’re special and too good for all the other numbers.
The D’Alembert system was invented by the 18th century French mathematician Jean-Baptiste le Rond d’Alembert and is perhaps the easiest of all Roulette strategies to apply. As a negative progression system, it involves you placing a bet, adding one unit to it if you lose, or removing a unit from it if you win, i.e. raise when you lose, lower when you win. Predicated on the idea of natural equilibrium, the D’Alembert strategy works best when applied to a set of even wins and losses for the same bet – but of course you won’t know what the Roulette wheel has in store for you until you start to play.
French and some European Roulette tables also utilize what are known as French or called bets. These refer to certain sections of the Roulette table that represented by corresponding numbers and phrases on an ellipse. These are Voisin du zero, Orphelins and Tiers du Cylindre, and are based on a particular section’s proximity to zero. The numbers within the ellipse function in a similar manner.
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Another strategy that is good for more wary players is one known as the Paroli system. Here you make an initial bet of say £10 and if it loses you repeat the stake for the next spin. When your bet wins you double your stake for the next game and so on. If you then win three games in a row you should return back to your original stake. The thinking behind this system is that your luck will run out so it reigns in any outlandish bets before you get carried away.
Casinos will normally post a maximum and a minimum stake for a roulette table and this is sometimes done for recreational play, too. Typically, for each spin of the wheel, if a player the total amount of a player's inside bets must exceed the minimum stake. The listed maximum stake usually shows only the maximum allowed for a single number "straight up" bet. The maximum stakes for other types of bet increases proportionately e.g. The maximum bet allowed for a pair of numbers is double the maximum straight-up bet, the maximum allowed for a corner bet is 4 times the straight up maximum and so on. So that really the limitation is on the amount that the casino can lose!
You don’t have to be a mathematical genius to excel at roulette but it makes sense to memorise the sort of odds you’ll receive for different bets. Although it’s unlikely that a croupier will make a mistake and underpay you, if you don’t know the odds of the bet you’ve placed, how are you supposed to correct them? Even if you’re only playing online roulette, it still pays to familiarise yourself with the odds you’ll receive for betting on different sections of the table. That way you’ll be able to calculate the possible return and can adjust your strategy accordingly. If you don’t know the difference between zero and double-zero roulette for instance, you don’t know how to calculate your odds and you’re just guessing. Don’t guess – calculate. We’ll show you how. 

Even if there isn't a betting limit, and if you have an infinite credit limit, it still doesn't really work, it just doesn't really fail either. If the martingale strategy is continued indefinitely and without regard to betting limits, your bankroll will hit arbitrarily high positive and negative values. The expected value is still negative, but the variation is so high that it your bankroll won't stay either negative or positive.
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