Betting on 'dozen-blocks' is a simple but effective staking method and is very easy to operate by using the Roulette Tracker and Stake Calculator. A dozen-block is a 2 to 1 column (1 to 34, 2 to 35 and 3 to 36), and the 1st 12, 2nd 12 and 3rd 12 blocks (1 to 12, 13 to 24 and 25 to 36, respectively). # Calculate the expected outcome of 1,000 spins if you win $17 when the ball lands on. # American Roulette - Probability of Winning Money.

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It is important to look into how the expected value in roulette works. This refers to the potential for making money on the game but also how one might end up losing money over a period of time.

Expected values are typically analyzed to see how well one might earn a good deal of money. In particular, it focuses on how a roulette wheel includes several evenly-sized spaces.

EUROPEAN ROULETTE PROBABILITIES. While the American and European games may seem similar at first glance, the two games actually use different roulette wheels. The American wheel has both a zero (0) and a double zero (00) on it, while the European wheel only has the single zero. This actually makes a major difference to players. Probabilities for Roulette. Since the spaces are the same size, the ball is equally likely to land in any of the spaces. This means that a roulette wheel involves a uniform probability distribution. The probabilities that we will need to calculate our expected value are as follows.

The expected value especially gives you an idea of what the overall house edge might be. The house always has the edge on a spin but the intensity of that particular value will vary based on what you do with the game. You have to watch for this to get a good idea of what to expect as you play the game. Be aware of this when figuring out what you can utilize with a bet.

Probability Points

The expected value on a roulette game is based on the particular types of wins that can occur. A typical American roulette game entails 38 spaces on the wheel. Therefore, the probability of a ball landing on a certain number is always 1/38. The odds of a ball landing on a red or black number is 18/38. The potential for one color to not occur is 20/38.

These probabilities suggest that certain numbers have better expected values. The green numbers clearly are not worth as much because they are not as likely to occur on a spin.

A Random Variable Is Important

The random variable refers to the winnings that come about on a spin. For instance, if you bet a dollar on the ball landing on red, you will win a dollar if the bet is successful. Meanwhile, you will lose that dollar if the ball lands on black or green.

The random variable for a winning spin in this example is 1. The variable on the losing spin is -1.

The random variable is important to analyze when planning an expected value. This helps you to see how you could win or lose a certain total based on what you plan on betting.

How to Calculate

To calculate the expected value, you must use a few rules:

1. Take the probability of one result and multiple it by the value of the random variable.

2. Calculate the probability of the opposite result and multiply that by the random variable on that one.

3. Add the two together to get the expected value.

For instance, you might place a bet on an even number. This would entail an 18/38 change to win one dollar. The product of that would still be 18/38.

Then, you would calculate what may happen if you land on 0, 00 or an odd number. This would have a 20/38 probability with a random variable of -1.

By taking 18/38 and adding -20/38 to it, you will get -2/38 or -0.053. This means that the house has an overall advantage.

In short, you must watch for how the expected value in roulette works. This is to give you a sensible idea of what value might come with a particular bet and to see if it is a worthwhile one to get into.

Since roulette is a game of chance, there is no way for players to predict with absolute certainty where the little white ball will land on the next spin. Yet, the main goal of all roulette players is to win and get the most from the game with their bets when they join the roulette table. One easy way to achieve this is to manage your bankroll efficiently.

There are several aspects of adequate bankroll management. The most important thing is to determine the size of your overall bankroll, or the amount of money you intend to set aside for a given betting session. The next step is setting a base betting unit for yourself or the amount of money you put on stake per spin.

Less experienced players, who have trouble deciding on the size of their base betting unit in relation to their overall bankroll, can resort to using the so-called roulette betting calculators. The said calculators are available online and often can be used free of charge. The use of these calculators can be especially helpful to players, who are looking to incorporate a specific betting system into their roulette session in order to generate more substantial profits.

How Does a Roulette Betting Calculator Work?

Using the roulette betting calculators available online is quite straightforward. The calculators aim at indicating what the most suitable base betting unit for a given player will be on the basis of their bankroll size. The base betting unit is the sum players put on stake on each spin of the ball.

It is important to remember that discipline plays a crucial role at the roulette table – the size of the base betting unit is meant to be a fixed constant that players stick to throughout their betting session. Sticking to the fixed unit ensures players are spending the optimum amount of time at the table while still being able to turn a decent profit whenever they experience a longer winning streak.

This is how the online roulette betting calculators work. All players are required to do is enter the exact amount of their bankroll in the respective field and click on the Calculate button. For example, let’s assume you have set aside £200 for a single roulette betting session. The calculator will compute three different betting units using this sum, namely a safe unit, a recommended unit and a high-risk unit. Which one you choose to adopt depends on the type of roulette player you are, more risk-averse player or a high roller.

Many roulette experts recommend players to use a base unit that amounts to 2% of the total bankroll and caution them to steer clear of using a unit that exceeds 5% of the sum, they are planning to spend on a single betting session. Inexperienced roulette players are often advised to stick to base units amounting to 1% of their bankrolls, at least until they figure out what betting strategy works best for them.

Safe Betting Units

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If you enter £200 as the size of your overall bankroll, the calculator will compute that your safe betting unit amounts to £2. This unit corresponds to 1% of your overall bankroll. Sticking to a safe betting unit might enable players to prolong the time they spend at the roulette table. It is recommended for players, who are more cautious with their money and are satisfied with putting relatively small amounts on stake.

However, players who choose a safe betting unit should bear in mind there are maximum and minimum stake limits at landbased roulette tables. Often, it might be impossible to bet only £1 per spin since in landbased casinos, the minimum roulette bets usually start at £5. Nevertheless, this issue can easily be resolved by playing the game online. Many web-based gambling operators offer low stakes roulette variations where it is possible to make bets of £1 or even £0.50. So, if you decide to stick to a safe betting unit, you should consider joining a low stake roulette game from the comfort of your home.

Recommended Betting Units

The second unit the calculator will compute is the recommended betting unit. You may notice that the recommended unit always corresponds to 2% of your overall bankroll, regardless of the sum you have initially entered. In our case, the recommended betting unit for a bankroll of £200 would amount to more than £4. This is, in fact, the ideal base unit since it allows players to optimise the time they spend at the roulette table, while at the same time giving them a rush of adrenaline on every spin of the ball.

Also, sticking to the recommended unit may help you minimise your losses in case you experience a longer losing streak since you will not be risking a substantial percentage of your bankroll on each spin. Roulette novices should remember that it is better to settle for smaller wins than parting with their entire bankroll in a few spins by putting heftier sums on stake.

High-Risk Betting Units

The roulette betting calculators available online also compute high-risk betting units, suitable for the type of player, who prefers to bet big and collect greater profits, respectively. The roulette betting calculator has computed a high-risk betting unit of £8 for the bankroll of £200, used in this example. The sum corresponds to 4% of the overall bankroll amount and is considered the highest, yet the safest bet limit in the game of roulette.

Players, who opt for using higher-risk bet units, are recommended to be careful when putting their funds on stake in order to prevent losing more money they are comfortable with. If you are anxious or get infuriated each time you lose on a spin, this might serve as an indicator the high-risk betting unit is not for you. If that is the case, you should consider reducing the size of your next bets to the recommended bet unit to prevent being tempted to bet too much when you suffer a losing streak.

Determining the Best Base Betting Unit

Online roulette betting calculators predominantly focus on giving players an idea of the best range of units they should put on stake at the roulette table. At the end of the day, it is up to players to decide on the amount they wish to bet per each spin. However, players are recommended to join the roulette table only with money they are comfortable playing with, and potentially losing.

If the thought of losing a given amount of money per spin makes you sweat with anxiety, you should avoid putting this sum on stake. It is of utmost importance to stick to the limits you have set for yourself and feel comfortable with. Remember the best betting unit for yourself is the one that allows you to maximise the time you spend at the roulette table without causing you to risk a substantial part of your bankroll.

Another thing to take into account is the fact that these calculators are meant to be used solely for reference purposes. In order to find a balance, players are recommended to experiment a little with their base betting units and adjust them until they find a unit they are most comfortable with.

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Most importantly, when you have found the betting unit that works best for you, you need to stick to it when you join the roulette table, regardless of what happens. Sometimes, players are tempted to increase their betting units whenever they suffer a lengthy losing streak in an attempt to recoup their losses. However, there is no guarantee the next spin will result in winning, so increasing the bet units dramatically might end up costing you your entire bankroll.

A Few Words in Conclusion

While online roulette betting calculators are useful in helping players determine the size of their base betting units, the effect they have on your bets winning or losing is equal to nil. In addition, if you search online, you may be able to find a range of roulette calculators that compute the probability of winning with specific roulette bets. Some calculators go as far as “predicting” which the next number to be spun will be.

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There is one very important thing to remember, namely the fact there is no relation between the spins. Each spin is independent and does not affect the outcome of the spins that are to follow. This indicates all numbers on the roulette wheel have equal chances of coming up on the next spin, so there is no possible way to predict the outcome with absolute certainty. This practically renders calculators that compute the outcomes on the basis of previous winning numbers useless.

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However, calculators that compute betting units might prove to be useful when it comes to players’ money management. But it is up to players decide whether or not they are comfortable with using the betting units, suggested by the calculators.