Roulette Betting Rules

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Special roulette rules. Apart from the basic rules described above, there are some special roulette rules that change the way roulette is played, at least to some extent. The most used and well-known of these rules are: The rule 'La Partage' The rule 'En Prison' The rule 'Surrender'. Roulette Rules for Betting and Payouts Tue, May 28th, 2013 7:31AM by Charlotte Lee Last Updated Tue, Sep 15th, 2020 1:57AM Roulette has always been considered one of the most popular casino games. Basket bet is a five number bet on zero – double zero and numbers-1-2-3 which pays 6 to 1. On the double zero wheel, it has a house edge of 7.89 percent making it the worst bet in Roulette. Double Street bet is a wager on six numbers and pays 5 to 1. Minimize your losses by betting the outside, such as red versus black or odd versus even. You can also follow the James Bond strategy by placing $140 on numbers 19-36, $50 on 13-18, and $10 on zero, so the only way you can lose is if number 1-12 comes up. For more information, like how to set a budget while betting on roulette, keep reading! Home Casino Game Rules Roulette. Roulette Game Rules. Roulette consists of a wheel with 37 or 38 numbers, these include the numbers 1-36, 0, and 00. After all the bets have been established the.

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Introduction

The Gambler's Fallacy is the mistaken belief that if an independent event has not happened in a long time, then it becomes overdue and more likely. It is also equally incorrect that if an outcome has happened a disproportionate number of times lately, compared to statistical expectations, then it becomes overheated and less likely to occur the next time. An example of this fallacious thinking might be that if the number 23 hasn't been drawn in a 6-49 lottery the last 100 games, then it becomes more likely to be drawn during the next drawing.

Many worthless betting strategies and systems are based on belief in the Gambler's Fallacy. I got the idea for writing about this after reading an 888 online roulette article by Frank Scoblete entitled How to Take Advantage of Roulette Hot Spots. In that article, Scoblete recommends taking a count of each outcome for 3,700 spins in single-zero roulette and 3,800 spins in double-zero roulette in the hunt for 'hot numbers.' Never mind that this would take about 100 hours to make this many observations, assuming the industry standard of 38 spins per hour.

Before going further, let me say that I strongly believe modern roulette wheels made by top brands like Cammegh are extremely precise and any bias would be minuscule compared to the house advantage. Thus, testing a modern roulette for bias would be a total waste of time. Now, testing a 30-year-old hand-me-down wheel in a banana republic might be another story. However, you're on your own if you win a lot of money from said casino and try to leave with it.

That said, if you track 3,800 outcomes in single-zero roulette, the average number of times any number will hit is 3800/38=100. I ran a simulation of over 1.3 trillion spins, counting how many times each number was hit, sorting the outcomes to find the most frequent number and how many times it was observed, and keeping a count of how many times the most frequent number in each simulation was seen.

Hottest Number in 3,800 Spins of Double-Zero Roulette

As a former actuary, I hate to use a layman's term like the 'hottest number,' but that is how gamblers talk so will go with that. That said, following are the results of the count of the hottest number in millions of 3800-spin simulations.

Count of the Hottest Number in 3,800 Spins on Double-Zero Wheel

StatisticValue
Mean 122.02
Median 121
Mode 120
90th Percentile 128
95th Percentile 131
99th Percentile 136
99.9th Percentile 142

Here is what the table above means in plain simple English.

  • The mean, or average, count of the hottest number is 122.02.
  • The median count of the most frequent number is 121. This means that over 50% of time the most frequent number appeared 121 times or less, as well as 121 times or more. This is possible because the probability of 121 observations is in both groups.
  • The mode, or most count of the hottest number is 120, which happens 8.29% of the time.
  • The 90th percentile is the smallest number such that the probability the count of the hottest number is at least 90% .
  • The 95th percentile is the smallest number such that the probability the count of the hottest number is at least 95%.
  • The 99th percentile is the smallest number such that the probability the count of the hottest number is at least 99%.
  • The 99.9th percentile is the smallest number such that the probability the count of the hottest number is at least 99.9%.

Hottest Number in 3,700 Spins of Single-Zero Roulette

The results are very similar with 3,700 spins tracked on a single-zero wheel. Following is a summary of the results.

Count of the Hottest Number in 3,700 Spins on Single-Zero Wheel

StatisticValue
Mean 121.90
Median 121
Mode 120
90th Percentile 128
95th Percentile 131
99th Percentile 136
99.9th Percentile 142

The following table shows the full results of the simulation on both wheels. The two commulative columns show the probability that the count of the hottest number is the number on the left column or more. For example, the probability the hottest number in 3,700 spins of single-zero roulette is 130 or more is 0.072044.

Summary of the Count of the Hottest Number in 3,700 Spins of Single-Zero Roulette and 3,800 spins of Double-Zero Roulette

CountProbability
Single Zero
Cummulative
Single Zero
Probability
Double Zero
Cummulative
Double Zero
160 or More 0.000001 0.000001 0.000001 0.000001
159 0.000000 0.000001 0.000000 0.000001
158 0.000001 0.000001 0.000001 0.000001
157 0.000001 0.000002 0.000001 0.000002
156 0.000001 0.000003 0.000001 0.000003
155 0.000002 0.000005 0.000002 0.000005
154 0.000003 0.000009 0.000003 0.000008
153 0.000005 0.000013 0.000005 0.000013
152 0.000007 0.000020 0.000008 0.000021
151 0.000012 0.000032 0.000012 0.000033
150 0.000017 0.000049 0.000018 0.000051
149 0.000026 0.000075 0.000027 0.000077
148 0.000038 0.000114 0.000041 0.000118
147 0.000060 0.000174 0.000062 0.000180
146 0.000091 0.000265 0.000092 0.000273
145 0.000132 0.000397 0.000137 0.000409
144 0.000195 0.000592 0.000199 0.000608
143 0.000282 0.000874 0.000289 0.000898
142 0.000409 0.001283 0.000421 0.001319
141 0.000580 0.001863 0.000606 0.001925
140 0.000833 0.002696 0.000860 0.002784
139 0.001186 0.003882 0.001215 0.003999
138 0.001652 0.005534 0.001704 0.005703
137 0.002315 0.007849 0.002374 0.008077
136 0.003175 0.011023 0.003286 0.011363
135 0.004355 0.015378 0.004489 0.015852
134 0.005916 0.021295 0.006088 0.021940
133 0.007939 0.029233 0.008196 0.030136
132 0.010601 0.039834 0.010908 0.041044
131 0.013991 0.053824 0.014384 0.055428
130 0.018220 0.072044 0.018757 0.074185
129 0.023498 0.095542 0.024114 0.098299
128 0.029866 0.125408 0.030603 0.128901
127 0.037288 0.162696 0.038228 0.167130
126 0.045771 0.208467 0.046898 0.214027
125 0.055165 0.263632 0.056310 0.270337
124 0.064853 0.328485 0.066020 0.336357
123 0.074178 0.402662 0.075236 0.411593
122 0.081929 0.484591 0.082885 0.494479
121 0.087158 0.571750 0.087696 0.582174
120 0.088520 0.660269 0.088559 0.670734
119 0.084982 0.745252 0.084406 0.755140
118 0.076454 0.821705 0.075245 0.830385
117 0.063606 0.885312 0.061851 0.892236
116 0.048069 0.933381 0.046111 0.938347
115 0.032432 0.965813 0.030604 0.968952
114 0.019117 0.984930 0.017664 0.986616
113 0.009567 0.994496 0.008614 0.995230
112 0.003894 0.998390 0.003420 0.998650
111 0.001257 0.999647 0.001065 0.999715
110 0.000297 0.999944 0.000243 0.999958
109 0.000050 0.999994 0.000038 0.999996
108 or Less 0.000006 1.000000 0.000004 1.000000

Count of the Hottest Numbers in 300 Spins in Double-Zero Roulette

What if you don't want to spend 100 hours gathering data on a single wheel? Some casinos are kind enough to give you, on a silver platter, the number of times in the last 300 spins the four 'hottest' and 'coolest' numbers occurred. The image at the top of the page shows an example taken on a double-zero wheel at the Venetian.

In 300 spins, the average number of wins on a double-zero wheel for any number is 300/38=7.9. As you can see from the image above, the four hottest numbers were 20, 5, 29, and 2, which occurred 15, 14, 13, and 12 times respectively. Is this unusual? No. In a simulation of over 80 billion spins, the most frequent number, in 300-spin experiments, appeared most frequently at 14 times with a probability of 27.4%. The most likely total of the second, third, and fourth most frequent numbers was 13, 12, and 12 times respectively, with probabilities of 37.9%, 46.5%, and 45.8%. So the results of the 'hottest' numbers in the image above were a little more flat than average.

The following table shows the probabilities of the four hottest numbers in 300 spins of double-zero roulette. For example, the probability the third most frequent number happens 15 times is 0.009210.

Count of the Hottest Four Numbers in 300 Spins on a Double-Zero Wheel

ObservationsProbability
Most Frequent
Probability Second
Most Frequent
Probability Third
Most Frequent
Probability Fourth
Most Frequent
25 or More 0.000022 0.000000 0.000000 0.000000
24 0.000051 0.000000 0.000000 0.000000
23 0.000166 0.000000 0.000000 0.000000
22 0.000509 0.000000 0.000000 0.000000
21 0.001494 0.000001 0.000000 0.000000
20 0.004120 0.000009 0.000000 0.000000
19 0.010806 0.000075 0.000000 0.000000
18 0.026599 0.000532 0.000003 0.000000
17 0.060526 0.003263 0.000060 0.000001
16 0.123564 0.016988 0.000852 0.000020
15 0.212699 0.071262 0.009210 0.000598
14 0.274118 0.215025 0.068242 0.011476
13 0.212781 0.379097 0.283768 0.117786
12 0.067913 0.270747 0.464748 0.457655
11 0.004615 0.042552 0.168285 0.383900
10 0.000017 0.000448 0.004830 0.028544
9 0.000000 0.000000 0.000001 0.000020
Total 1.000000 1.000000 1.000000 1.000000

The next table shows the mean, median, and mode for the count of the first, second, third, and fourth hottest numbers in millions of 300-spin simulations of double-zero roulette.

Summary of the Count of the Four Most Frequent Numbers in 300 Spins of Double-Zero Wheel

OrderMeanMedianMode
First 14.48 14 14
Second 13.07 13 13
Third 12.27 12 12
Fourth 11.70 12 12

Count of the Coolest Numbers in 300 Spins in Double-Zero Roulette

The next table shows the probability of each count of the four collest numbers in 300 spins of double-zero roulette.

Count of the Coolest Four Numbers in 300 Spins on a Double-Zero Wheel

ObservationsProbability Least
Frequent
Probability Second
Least Frequent
Probability Third
Least Frequent
Probability Fourth
Least Frequent
0 0.012679 0.000063 0.000000 0.000000
1 0.098030 0.005175 0.000135 0.000002
2 0.315884 0.088509 0.012041 0.001006
3 0.416254 0.420491 0.205303 0.063065
4 0.150220 0.432638 0.595139 0.522489
5 0.006924 0.052945 0.185505 0.401903
6 0.000008 0.000180 0.001878 0.011534
Total 1.000000 1.000000 1.000000 1.000000

The next table shows the mean, median, and mode for the count of the first, second, third, and fourth coolest numbers in the 300-spin simulations of double-zero roulette.

Summary of the count of the Four Least Frequent Numbers on a Double-Zero Wheel

OrderMeanMedianMode
Least 2.61 3 3
Second Least 3.44 3 4
Third Least 3.96 4 4
Fourth Least 4.36 4 4

Count of the Hottest Numbers in 300 Spins of Single-Zero Roulette

In 300 spins, the average number of wins on a single-zero wheel for any number is 300/37=8.11. The next table shows the probability of each count of the four coolest numbers in 300 spins of double-zero roulette. For example, the probability the third most frequent number happens 15 times is 0.015727.

Count of the Hottest Four Numbers in 300 Spins on a Single-Zero Wheel

ObservationsProbability
Most Frequent
Probability Second
Most Frequent
Probability Third
Most Frequent
Probability Fourth
Most Frequent
25 or More 0.000034 0.000000 0.000000 0.000000
24 0.000078 0.000000 0.000000 0.000000
23 0.000245 0.000000 0.000000 0.000000
22 0.000728 0.000000 0.000000 0.000000
21 0.002069 0.000002 0.000000 0.000000
20 0.005570 0.000018 0.000000 0.000000
19 0.014191 0.000135 0.000000 0.000000
18 0.033833 0.000905 0.000008 0.000000
17 0.074235 0.005202 0.000125 0.000001
16 0.144490 0.025286 0.001624 0.000050
15 0.232429 0.097046 0.015727 0.001286
14 0.269735 0.259360 0.101259 0.021054
13 0.177216 0.382432 0.347102 0.175177
12 0.043266 0.208137 0.429715 0.508292
11 0.001879 0.021373 0.102979 0.283088
10 0.000003 0.000103 0.001461 0.011049
9 0.000000 0.000000 0.000000 0.000002
Total 1.000000 1.000000 1.000000 1.000000

The next table shows the mean, median, and mode for the count of the first, second, third, and fourth hottest numbers in millions of 300-spin simulations of double-zero roulette.

Summary — Count of the Four Hottest Numbers — Double-Zero Wheel

OrderMeanMedianMode
First 14.74 15 14
Second 13.30 13 13
Third 12.50 12 12
Fourth 11.92 12 12

Count of the Coolest Numbers in 300 Spins in Single-Zero Roulette

The next table shows the probability of each count of the four coolest numbers in 300 spins of double-zero roulette. For example, the probability the third coolest numbers will be observed five times is 0.287435.

Count of the Coolest Four Numbers in 300 Spins on a Double-Zero Wheel

ObservationsProbability Least
Frequent
Probability Second
Least Frequent
Probability Third
Least Frequent
Probability Fourth
Least Frequent
0 0.009926 0.000038 0.000000 0.000000
1 0.079654 0.003324 0.000068 0.000001
2 0.275226 0.062392 0.006791 0.000448
3 0.419384 0.350408 0.140173 0.034850
4 0.200196 0.484357 0.557907 0.406702
5 0.015563 0.098547 0.287435 0.521238
6 0.000050 0.000933 0.007626 0.036748
7 0.000000 0.000000 0.000001 0.000013
Total 1.000000 1.000000 1.000000 1.000000

Most money ever won at a casino. The next table shows the mean, median, and mode for the count of the first, second, third, and fourth coolest numbers in the 300-spin simulations of single-zero roulette.

Summary of the count of the Four Least Frequent Numbers on a Single-Zero Wheel

OrderMeanMedianMode
Least 2.77 3 3
Second Least 3.62 4 4
Third Least 4.15 4 4
Fourth Least 4.56 5 5

The least I hope you have learned from this article is it is to be expected that certain numbers will come up more than others. To put it in other words, it is natural that some numbers will be 'hot' and some 'cool.' In fact, such differences from the mean are highly predictable. Unfortunately, for roulette players, we don't know which numbers will be 'hot,' just that some of them almost certainly will be. I would also like to emphasize, contrary to the Gambler's Fallacy, that on a fair roulette wheel that every number is equally likely every spin and it makes no difference what has happened in the past.

Finally, it should not be interpreted that we give an endorsement to the 888 Casino, which we linked to earlier. I am very bothered by this rule in their rule 6.2.B. Before getting to that, let me preface with a quote from rule 6.1, which I'm fine with.

'If we reasonably determine that you are engaging in or have engaged in fraudulent or unlawful activity or conducted any prohibited transaction (including money laundering) under the laws of any jurisdiction that applies to you (examples of which are set out at section 6.2 below), any such act will be considered as a material breach of this User Agreement by you. In such case we may close your account and terminate the User Agreement in accordance with section 14 below and we are under no obligation to refund to you any deposits, winnings or funds in your account.' -- Rule 6.1

Let's go further now:

The following are some examples of 'fraudulent or unlawful activity' -- Rule 6.2

Next, here is one of many examples listed as rule 6.2.B

'Unfair Betting Techniques: Utilising any recognised betting techniques to circumvent the standard house edge in our games, which includes but is not limited to martingale betting strategies, card counting as well as low risk betting in roulette such as betting on red/black in equal amounts.' -- Rule 6.2.B

Let me make it perfectly clear that all betting systems, including the Martingale, not only can't circumvent the house edge, they can't even dent it. It is very mathematically ignorant on the part of the casino to fear any betting system. Why would any player trust this casino when the casino can seize all their money under the reason that the player was using a betting system? Any form of betting could be called a betting system, including flat betting. Casino 888 normally has a pretty good reputation, so I'm surprised they would lower themselves to this kind of rogue rule.


Written by: Michael Shackleford

Roulette Zero

The number zero. Is it even a number? Or is it a non-number?

Well, we always talk about the number zero, so let´s say for the sake of argument that it is a number. If you halve something, and then halve it again, and then halve it again, you are going to have a smaller and smaller number. If you did this an infinite number of times, you´d arrive at zero, but of course that isn´t going to happen in the real world. And that´s the thing about zero, much of what we talk about when we talk about the number zero is theoretical- it´s all in the mind.

But back to roulette. The zero is the only green number on the roulette wheel, and it marks the difference between a European Roulette wheel and an American Roulette wheel, as a European wheel has one zero pocket and an American wheel has two zero pockets (the 0 and the 00).

Play the Zero Bet at Luxury Casino

Play American Double Zero or European Single Zero. Best casino au.

On a European Wheel, the 0 sits between black 26 and the red number 32. Over in Vegas on the American wheels, the 0 is located between black 2 and black 26 and the 00 has red 1 and red 27 as neighbours.

How to Play the Number Zero in Roulette

You can bet on the number zero in the same way as you can bet on any individual number on the roulette wheel- just place a single number bet on the number and you´ll get a 35:1 payout if it comes in (plus your original bet back).

The zero is often seen as an unlucky number (well it is called the zero)- especially in roulette, as many bets will not pay out if the ball lands in this pocket, such as the outside even money bets, the column bets and the dozens bet and so on.

In a way, that´s a little bit unfair on the zero, as if you bet on the red, you´ll lose if a black number comes up OR the zero comes up, but players tend to feel unlucky when the zero lands and they are playing the even money bets. There are ways of insuring yourself against this happening. You could play a roulette variant like Next Gen European Roulette that plays La Partage. This is a rule that forces the casino to return half of your even money bet if the ball lands in zero. It´s a good one to look out for, as it will reduce the house edge down to 1.3% on these bets. You may also find this rule played on many French Roulette games.

Roulette Zero Tips

The zero is what gives roulette its House Edge. If you play an Outside Bet like Evens or odds, for example, you have less than a 50:50 chance because if the ball happens to land in the zero pocket (or pockets in the case of American variants), you lose the bet. You can mitigate against this by playing French Roulette, or 'Money Back' games that play La Partage rule. You will get half of your bet back in this case- the house edge is half of that you will get in standard European Games.

Play 'Money Back' Roulette at Paddy Power

You could also lay a small side bet on the zero to cover yourself for those times when the 0 hits. We´d advise against it- it´s better just to run the gauntlet and trust your luck.

The only rule that we suggest you stick to with the zero, is to only play on single zero roulette wheels. Avoid the double zero roulette wheels (the American ones). If you think it's bad news when the ball lands in the single zero, how bad are you going to feel when it lands in the double zero? There's a reason that European Roulette is more popular online than the American game. There's more choice and the odds are better on the former.

Roulette Betting Chart

A popular way of covering the zero is with the Voisins du Zero bet. This covers the numbers from 22 to 25 including the zero. These are the Neighbours or Voisins of zero.

If you are playing American Roulette (I thought we told you to avoid it!), you could also play the worst bet in roulette, which covers 0,00, 1, 2 and 3. But why would you? The odds are the worst in roulette.

Another neat way of covering the zero on a European table is with a Jeu Zero bet, which is kind of like a mini Voisins du Zero bet. It just covers 6 neighbours of zero with 4 chips.

Let´s Talk About the Zero

Zero is one of those numbers that is known by a number of names including nothing, none, nought, nil, zip, zilch and nada. In cricket, if you are bowled for a duck you scored zero runs and if you are 40 love down in a tennis game you haven't scored any points.

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The zero hasn´t always been recognised- the Ancient Greeks had no word for it and were sceptical as to whether it was a number at all. How can something be something if it is nothing? You can see their point.

The idea of zero is thought to have been fully developed on the Indian sub-continet where it appeared around A.D. 458 in mathematical equations that were spelled out or spoken in poetry or chants. In 628, a Hindu mathematician called Brahmagupta came up with a symbol for zero — a dot underneath numbers.

It was through the Arabic world that we came to use the zero as a placeholder and number in calculations. The Hindu–Arabic base 10 system for numbers that we use to this day reached Europe in the 11th century, thanks to the Moors in Spain.

Zero is an even number as you can divide it by 2 without getting a remainder and is the smallest no-negative integer.

The number zero really started to come into its own with the development of computers, as it represents the 'off state' in a binary system, where 1 is the 'on state'.

Summary

So is zero a number? Can you have a number that's nothing? That´s getting into philosophy, so we are going to say that yes, 0 is a number, at least in roulette. It has its own pocket and space on the betting layout, and there are even 2 of them on some wheels.

Just remember, the odds of the ball landing in the zero are exactly the same as the odds of the ball landing in any other number!

Play the Zero bet at Royal Vegas Casino

Roulette Betting Strategies

Stick to European Wheels with one zero. The odds are better.

FAQs

Sportsbook Betting Rules

  • Is there such a game as Zero Roulette?
    Betfair used to offer a game called Zero Roulette with a wheel that was just filled with numbers from 1 to 36. They discontinued it, probably because the house edge was zero (that extra pocket gives the house its advantage). At the time it was probably used as a promotional tool to get players to try the casino (Betfair is still well worth a visit for roulette by the way).
    It's a shame they discontinued it.




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