1. Why Do The Numbers On A Roulette Wheel Add Up To 666
  2. Numbers On Roulette Table Add Up To
  3. Numbers On A Roulette Wheel

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Why Do The Numbers On A Roulette Wheel Add Up To 666

Roulette Probabilities and the Maths behind them

Although the rules for roulette tables are designed in such a way that the bank makes money in the long run, it must be said that roulette is a pretty fair game. If you play with only small amounts (relative to your chips), then you can gamble for a long time at the roulette table whilst having a lot of fun.

This article shows you how to calculate probabilities in roulette, including the odds for each type of bet, allowing you to analyse all the possible variations.


Probabilities – A Brief Introduction

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The calculation of roulette wheel probabilities is very simple.

Let us take the classic example of a dice with the numbers one to six. How large is the probability that the next throw is the number five?

Of course, it is 1/6 or 16.67%: only one side of the dice has the number five, one of six numbers in total.

And how big is the probability of getting a number that is at least four?

The answer is 50%: there are three possible throws (numbers four, five and six), meaning a three in six chance, or 1/2.

If you have understood these simple examples then you will also be able to understand the probabilities expected in roulette.


Roulette Probabilities

Roulette has a total of 36 numbers, one to 36. The 36 numbers are divided into the following equal sized ‘sets’:

  • 18 red numbers (Rouge) and 18 black (Noir)
  • 18 even numbers (Pair) and 18 odd (Impair)
  • 18 numbers in the lower half (Manque) and 18 in the higher half (Passe)

Lastly, there is an additional stand-alone number, which is the green “zero”, making 37 numbered zones in total. The zero is not included in any of the three sets above.

So, if you are gambling on any of the three sets, in other words;

  • red or black
  • odd or even
  • low or high

then your likelihood to win is 18/37 = 48.65%. If your bet wins, your stake is returned plus 100%. In effect you double your money as each of these sets is an ‘evens’ bet.

Assuming the frequency of results is uniform (i.e. each number appears once during every 37 rotations), the bank will win all bets placed on the three sets every 37th round, when the green zero arrives. Thus, players lose an average of 1/37 of their stakes (assuming that they always play with the same stake per round).

Putting this another way, imagine you are betting on both the “red” and “black” sets at the same time. On average, 36 out of 37 times, the roulette ball will land on a number from one to 36. You are backing all 36 numbers and will lose one bet each time but receive full compensation on the other. (A zero sum game). But you will make a total loss (lose both bets) when the ball lands on zero, and this is precisely the case in 1/37 of the games.

So you can say that with simple chance you should expect returns of 36/37 of your stake money, which is the expected value in roulette (97.3%). In other words, for every 100 units staked you will receive back an average of only 97.3 units.

There are some casinos which are a little fairer to players who rely on simple chance. In such a casino when betting on, for example, red, if a zero appears your stake is not lost immediately but is left to ride on the next spin of the wheel.

In this case, the stake is returned to you (without winnings) if the next spin is “red”. The expectancy value for this type of house increases a gambler’s chances to 98.65%, or 98.65 units returned per 100 unit stake. Wagering with 100 units in a session will cost an average of 1.35 units (the house “edge”). You’ll find further maths and explanations in Wikipedia here.


Probability Table for Roulette Table Bets:

Expected Sequences for Simple Probabilities

If you witness “red” five times in a row, what do you think should come next? Red or black?

Many will believe that the chances for “black” are now higher. Black has not appeared for a while so it must surely arrive again soon to ‘balance out the frequency’.

Unfortunately, this thinking is incorrect. Following a series of “red” five times in a row, the probability for black always remains the same: 18/37 = 48.65%. Just remember the roulette wheel has no memory – it simply does not know what the last number was.

This is why it makes no sense to write down the sequence of red and black. (Surely you must have observed gamblers in casinos engaging in this habit?). It is impossible to detect even the smallest patterns in the roulette wheel because the ball has no memory and will always churn out numbers completely at random.

However, it is unlikely that “red” will appear six time in a row. The chance of six reds in a row is
(18/37) ^ 6 = 1.3% (i.e. 48.65% x 48.65% x 48.65% x 48.65% x 48.65% x 48.65%). (For more explanations see also our combinatorics article). By the way, this is approximately half the chance that any one single number appears (1/37 = 2.7%) and, of course, it is just as unlikely that there will be red numbers five times in a row followed by a black number; the probability for this sequence is also 1.3%.


Examples of Probabilities

To give you a better feel for roulette probabilities, here are a few examples. Here we use “r” for red and “b” for black:

  • r or b: 18/37 = 48.65%
  • rr or bb: 18/37 x 18/37 = 24% (two reds in a row or two blacks in a row)
  • rb or br: 36/37 x 18/37 = 47.3% (one colour followed by the other)
  • rrr or bbb: 18/37 x 18/37 x 18/37 = 11.5%
  • rbr or brb: 18/37 x 18/37 x 18/37 = 11.5%
  • rrrr or bbbb: 18/37 x 18/37 x 18/37 x 18/37 = 5.6%

Never confuse these probabilities with the “conditional probabilities”. The chance of red four times in a row is 5.6% but if you come to the table immediately after a red number has appeared, the probability that you will witness a further three reds (making a total of four times in a row) is 11.5% – purely because you will be observing only a series of three rounds.


The Law of Small Numbers

The law of small numbers was first conceived in 1898 by Ladislaus Bortkiewicz (1868-1931). His book is still available in German, free of copyright, and can be downloaded as a PDF or Kindle version. An English language introductory text is also available.

The Law of Small Numbers is not exactly bedtime reading material, but here is a brief summary. As roulette is a game of repetitions the “law of a third” and the “law of two-thirds” should become evident as play continues.

If there are exactly 37 rotations performed at roulette (as many as there are different numbers), according to the book:

  • approximately one third of the numbers (around 12-15 numbers), will not be hit at all
  • approximately one third of the numbers will appear exactly once
  • approximately one third of the numbers will appear twice or more
  • approximately two thirds of the numbers will appear at least once
Roulette


The Law of Large Numbers

The law of large numbers states that with an increase of repetitions the actual observed frequency comes closer to the theoretically calculated probabilities.

Although it is possible to observe on one particular evening, for example, red numbers coming up 60 times in a row, and another evening 40 times black, ultimately, when you observe the distribution of red and black over a longer period, the frequency will be closer to 50:50.

Therefore, there is no roulette system with which you can beat the probabilities. It may seem for a short time that a certain system functions but, in the long run, you will lose money with every system because roulette rules are designed in a way that the casino earns money. Period. Bear this in mind when you play roulette, but it is still fun!

We hope that this article about roulette and its probabilities has helped you. Now it’s time to enjoy. All you need is a serious and decent online casino where you can test your newly acquired knowledge. Choosing a suitable casino is best done via a comparison site. Here is one: Australia Online Casinos – Check it out, choose your casino and then put your roulette theory into practice!


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In this article, you will discover all the best tips for roulette that will increase your chances of winning.

These tips are to win at live roulette and automated roulette simulator.

THE 13 NUMBERS TRICK IN THE ROULETTE

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The popular 13 numbers trick is used by the best professional player in the world.

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The 13 numbers trick in roulette is very famous and used by all the professional players.

It's not based on mathematical calculations that take the previous number into consideration.

In roulette, the ball can land on any number or colour on any turn. It's impossible to calculate the number or the colour that will be the winner based on the previous result.

This rule is the base of the 13 numbers trick.

HOW MUCH CAN I WIN WITH THIS TRICK AT ROULETTE?

You have to bet the same amount of chips for every number that you choose.

You can win 36 chips if you bet 13 chips.

Numbers On A Roulette Table Add Up To

HOW DOES THIS TRICK FOR ROULETTE WORK?

This trick has always given me great satisfaction in both live roulettes live and automated.

It’s based on the principle that the ball has the same probability of land on each point of the wheel on every turn.

In fact, in roulette, the ball can land on each number or colour independently from the number or colour that was the winner the turn before.

Choose 13 numbers placed at an equal distance along the roulette wheel to use this trick.

To be sure you can withdraw your winnings, I suggest you play only in legal online casinos.

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HOW CAN I CHOOSE THE 13 LUCKY NUMBERS?

Only look at the roulette wheel and not the table to choose the right numbers.

Start from 0 and take a number every 3. Choose a black number and a red alternatively.

For example:

  1. 0
  2. 15
  3. 21
  4. 17
  5. 27
  6. 11
  7. 23
  8. 24
  9. 1
  10. 31
  11. 18
  12. 28
  13. 35

The 13th number could be 3 or 35. I prefer 35.

I suggest you rewrite all the numbers order because it is easier to bet on them.

  1. 0
  2. 1
  3. 11
  4. 15
  5. 17
  6. 18
  7. 21
  8. 23
  9. 24
  10. 27
  11. 28
  12. 31
  13. 35

You can start from a number different to 0 to create your series of numbers but remember to follow the rules for choosing them.

Which casino online could I choose for this trick?

One of the best online casinos to use this trick in is Betway Casino. There is a wide variety of roulette games, both live and automated, available on this site.

Another great casino is 888 casino.

Which type of roulette could I choose?

The French Roulette has the best percentage of winning.

The player is more disadvantaged in American Roulette because there is one more number (00).

Trick for automated roulette simulator software

I have used the 13 numbers trick a lot in automated roulette and achieved great results. The game that I prefer is NetEnt’s French Roulette. One advantage of this is that you can try the demo version of the roulette and play to test the trick without spending money.

Trick for live roulette

This trick was created playing on a real roulette table but if you can’t go to a real casino you can play in the roulette of a online casino.

The online casino’s live roulette works like the common live roulette.

In some live roulettes, you can chat with the croupier and watch the ball in slow motion. These are the best for playing.

Martingale roulette strategy

The Martingale roulette strategy is also called the double up method.

This is one of the most famous tricks for roulette.

Now I will talk about the weak points of this strategy and I will show you a variation of the Martingale strategy to optimize the chances of winning.

The biggest weak point of the Martingale strategy is the difference between the amount of money that you have to bet and the amount of the win.

In fact, you win only one chip for every winning turn.

How work the Martingale strategy in the roulette?

To play the Martingale Strategy at the roulette table, there are 3 fundamental steps:

  1. Choose the betting section
  2. Choose the betting unit
  3. If you lose you have to bet double of the betting unit in the next turn
  4. If you win you have to bet the betting unit chosen in the next turn

1 Choose the betting section

You have to bet only in the section of the roulette table that gives you 50% chance of winning (I am excluding the 0 or 00 to simplify things).

These sections are:

  • Red or black
  • Pair or even
  • 1-18 or 19-38

If you bet 1 unit in one of this section you could win 1.

2 Choose the betting unit

The betting units have to be as low as possible.

Every roulette table has a minimum and maximum betting amount.

On a table with a minimum of 1 chip and a maximum of 500 chips, I suggest you choose 1 chip as the betting unit.

This way, you will have a maximum of 10 turns to play this trick.

3 if you lose, you have to bet double of the betting unit in the next turn

Every time you lose a turn, you double the amount of your bet.

For example:

Betting section: red

Amount of bet: 1 chip

If you lose, you have to bet 2 chips at the next turn.

4 if you win, restart playing a chip

Every time you win, you have to bet 1 bet unit at the next turn. It is needed to consolidate your position and to avoid a loss.

Example of Martingale classic at roulette

Here an example of how to play the Martingale trick at the roulette

  • Section chosen: red
  • Unit of bet: 1 chip
TURNBET VALUEAMOUNT THAT COULD BE WONSECTIONRESULTSVALUE WIN/LOSE
1 chip1 chipROSSOLose- 1 chip
2 chips1 chipROSSOLose- 3 chips
4 chips1 chipROSSOLose- 7 chips
8 chips1 chipROSSOLose- 15 chips
16 chips1 chipROSSOLose- 31 chips
32 chips1 chipROSSOLose- 63 chips
64 chips1 chipROSSOWon1 chip

As you can see, the amount in the column “Amount that could be won” is always one chip. Even when you bet 64 chips in the last turn, you win 128 chips that give you a profit of only 1 chip. It’s because you have to take in mind the losses had been made before.

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Limits of Martingale trick

As we can see from the previous chapter, the Martingale Trick has 3 limits:

  1. It’s “foolproof” when you have endless money. That’s impossible for everybody
  2. Roulette tables have a limited range of betting. For example, if you choose a table with a limit of 1 chip of minimum bet, It often has a maximum bet of 500 chips. In this case, you can do only 10 turns with the Martingale trick.
  3. You could risk too much for having a insignificant win. In the example previous we bet 64 chips for winning only 1 chip.

Bet Value in the Martingale trick

If you want to try this method, here the bet value in a roulette table with minimum of 1 chip and maximum 500 chips:

TURNBETTING VALUES
1 chip
2 chips
4 chips
8 chips
16 chips
32 chips
64 chips
128 chips
256 chips
10°500 chips

In my opinion, it is not really convenient for betting 500 chips for getting only 1 chip in profit.

Double Martingale trick

The double Martingale trick is a variation of the Martingale.

Here’s how it works:

  1. Betting always in one of these sections:
  2. Red or black
  3. Pair or even
  4. 1-18 or 19-38
  5. Choose a low betting unit
  6. Quadruple the chips if you lose
  7. If you win, restart betting one unit

Here an example of how it works:

TURNBET VALUEAMOUNT THAT COULD BE WONSECTIONRESULTSVALUE WIN/LOSE
1 chip1 chipROSSOLose- 1 chip
4 chips3 chipsROSSOLose- 5 chips
16 chips11 chipsROSSOLose- 21 chips
64 chips43 chipsROSSOWON- 43 chips

In this example, after 4 unlucky turns, we were betting 64 chips and win 43 chips. A big difference with the Martingale classic where the winnings could be of only 1 chip!

The cons of this variation are that you can do only 5 turns in a roulette table with a minimum of 1 chip and a maximum of 500 chips instead of the 10 of the Martingale classic.

Here are the betting values for all the 5 turns:

TURNBETTING VALUES
1 chip
4 chips
16 chips
64 chips
256 chips

On the 5th turn, you bet 256 chips and you could win 171 chips.

If you have a higher budget you could start your betting from 2 chips. So, the betting values will be:

TURNBETTING VALUES
2 chips
8 chips
32 chips
128 chips
500 chips

In this case, you could win 300 chips betting 500chips even if you lose all the 4 previous turns.

Is the double Martingale better than the Martingale classic?

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Scientific method to win the roulette

There are some scientific methods to win roulette.

Here I will explain the 2 most famous.

Winning by studying the bias of the roulette’s wheel

This method was invented by Joseph Jagger who won over 2 million francs at the Casino de Monte-Carlo.

Jagger was an entrepreneur from Yorkshire. He observed that the spinning wheel used in the textile industry always had some bias that caused unbalancing.

In the roulette wheel, an unbalancing can cause some numbers to win more frequently than others.

Jagger started to test this hypothesis at the Casino de Montecarlo’s roulette for a month. During this period, he always played at the same roulette table, betting a very low amount of money and taking note of all winning numbers. After this period he knew which numbers won at that roulette table more frequently and for some days he started putting a lot of money only on those numbers.

In this period, he won 2 million francs, the equivalent of 7,5million of pounds in 2018.

Jagger’s winnings broke the bank of the casino as he had won more cash than the casino had on hand.

Measuring the speed of wheel and ball to predict the winning numbers

The Eudaemons were a team of students that won 10,000 dollars at Santa Cruz Casino’s roulette in the 70s.

They studied the physical behaviour of the wheel and the ball and developed a method to win at roulette.

Roulette

Numbers On Roulette Table Add Up To

The Eudaemons predicted the winnings numbers by measuring the wheel and ball’s speed and developing a mathematical model.

Calculating the winnings numbers was very complicated and took a lot of time. So, they invented the first wearable microcomputer.

The Calculator was put inside a shoe and was linked to a hidden micro camera that measured the speed of the roulette wheel. The winnings numbers were relayed to a vibrotactile output system hidden under the shirt.

In 2004, 3 players won 1 million pounds at the Ritz Casino in London with a similar method.

The group used a laser scanner to check the speed of roulette’s wheel and a mobile phone to calculate the winning number.

Numbers On A Roulette Wheel

The casino’s staff surprised them while they were using this trick. They were arrested and processed but they were judged guiltless. So, they were able to withdraw the winnings.