Roulette Odds Strategy

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  1. Roulette Odds Strategy Game
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Considering it's been around for hundreds of years, it's no surprise that many people have attempted to come up with various betting systems and betting strategies for the game of Roulette.

I've tried them all and I love them – they always make the game of Roulette that much more exciting. https://uukm.over-blog.com/2021/02/google-slot-machines.html. Every time I head out to a casino or load one up in my web browser, I'm always debating what betting system to use next. It's fun, and if you stick with a betting system you will not make silly mistakes.

  1. How to Improve Your Odds to Beat Roulette Play European roulette to benefit from a return-to-player of 97.3% Place outside bets like red/black or odd/even for the best odds Hone your skills by playing roulette in demo mode before risking cash Try the Martingale or D'Alembert roulette systems for a.
  2. 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.

Important Note: None of these Strategies Will Help you Win at Roulette. Really there's no way to actually WIN at Roulette – the casino always wins. You should use these more for fun anyway or to help give the illusion that you're winning.

The best thing you can do to increase your chances of winning at roulette – and the only thing – is rely on things such as casino bonuses and casino comp points etc to help give you a better return.

Below we discuss 3 strategies: 1. The Martingale Betting System is basically a double or nothing strategy. In this strategy, players will double up. The Andre Martinez Betting System depends on the odds and possibilities. It states that players should bet on the. The third strategy states. One question I get sometimes is whether there is some pattern to the number sequence in roulette. There is no simple rule of thumb that would help one memorize the order. Both major types of wheels, single- and double-zero, try to have a good balance of high & low and odd & even numbers in any given sector of the wheel.

For that, and also if you just want to practise Roulette for free, we recommend:

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That's the good thing about a system – the casinos make most of their money from impulsive bets. How often have you heard that bets will be closing and watch people go mental splashing chips around? That's why you should stick with a betting system; to keep you restrained and from making those silly impulsive mistakes.

Read through these articles and pick a betting system that will work for you:

Aggressive d'Alembert Betting System: Like the d'Alembert Betting System, except has an aggressive approach to the progressive betting side to it. Go big or go home.

Anti-Martingale Betting System: The complete opposite of the martingale, although using the same fundamentals. Rather than doubling your bet on a loss, you double it on a win. A fun progressive betting system that is simple to use.

Base Two Betting System: This is a famous progressive betting system which also doesn't have the risk of the Martingale if things go wrong. It uses two separate wager sizes and betting on 1:1 payouts such as red/black, odd/even or columns.

Best High Risk Roulette Strategies: Looking for some high risk/reward roulette strategies? I outline the best ones here.

Bet On Black Betting System: Wesley Snipes, is that you? This is an interesting betting system which is progressive but has a gradual incline to the wagering amount.

Black Snake Roulette Betting System: Get your minds out of the gutter – the black snake is a betting system for roulette involving betting 24 numbers.

Charting The Wheel Betting System: One of the first roulette systems, made famous back in the 19th century. Not the type of thing that will work these days, but still worth reading about.

Column Betting System: As you can imagine, this system is based on the columns within roulette. It is a relatively simple betting strategy used purely for betting on the columns. I recommend playing this one on European Roulette tables.

Contra D'Alembert Betting System: This is a variation of the very popular D'Alembert Betting System. It's the complete opposite of it, and quite the interesting betting system to use.

Covering The Table Betting System: Based on European roulette, it's a fun strategy involving covering 35 numbers on the table. I also cover variations you can make with the system based on American Roulette and less unit betting.

D'Alembert Betting System: Created by French mathematician Jean-Baptise le Rond d'Alembert, this is also known as the Pyramid betting system. This is a fun betting system, although is based purely on Gambler's Fallacy.

Dopey Betting System: This system was made famous due to the book by Andres Martinez, where he provided detail about the Dopey Betting System, an experimental roulette betting system.

Double Street Quad Strategy: This is a very interesting strategy which involves a betting pattern on two double streets, along with a quad or corner.

Don't Bet The Top Line: This strategy in roulette involves not betting the top line and dives into that.

Dozen Based Triple Martingale Betting System: Like many betting systems for Roulette, it's the Martingale with a twist. It focuses on the 'dozen' bets that you can make, and the progressions in betting you make are higher. Triple your initial stake.

Fibonacci Betting System: Taken from the Fibonacci Sequence from back in the 13th century, the Fibonacci Betting System is a very simple progressive betting to use, based on increments of the 2 prior numbers you bet with.

Fibonacci vs Reverse Fibonacci: In this article I compare the fibonacci and reverse fibonacci systems and break down the difference between them.

Five Quad Strategy: The Five Quad Strategy is similar to the Double Street Quad System but requires you to bet five quads while playing roulette.

Flat Betting System: The most commonly used betting system out there and the easiest for people to do. It's a low risk strategy, and I cover a lot of different ways you can use this betting system.

Grand Martingale Betting System: The Grand Martingale Betting System is essentially the Martingale Betting System, except with a different amount of bet increments you should make. There are a couple of variations to it that I cover in this article.

Guetting Betting System: Thanks to Charlies Guetting, the French Mathematician, comes this rather complicated 4 level progressive betting system.

Hollandish Betting System: The Hollandish system is an interesting negative progressive system much like the Labouchere and the Martingale.

Identifying A Roulette Dealer Signature: I first thought about this topic when a dealer actually explained it to me – how she can generally control the area the ball goes to by when she throws it in and how shes throws it in. There's a lot of interesting stuff about that and this is one article I highly recommend reading.

In Red We Trust Betting System: This is one of my favourite betting systems. It can be rather complex and is PERFECT for the action junkie. Only thing better than action? Well at least when it comes to Roulette – controlled action.

Inside Bet Betting System: This betting system is focused on the inside bets you can make in roulette, and you will need to have a strong understanding of all of the available inside bets.

James Bond Roulette System: A break down of the famous James Bond Roulette System.

Kavouras Bet: Kavouras Roulette Betting System is a very interesting one that appears chaotic but is a lot of fun. I like to use it a lot when playing.

Labouchere Betting System: This is a progressive betting system that is very popular at the Roulette tables. It's based on setting aims such as the amount you wish to win or lose, and playing towards that. It uses sequences and is rather complex, but when you have it figured out it is a lot of fun and one I use often at the roulette tables.

Laws of the Third Betting System: This betting system is a betting system you can ONLY use for Roulette. It relies on the 'laws of the third' whereas in 36 spins, 12 numbers won't appear.

Low Risk Betting Strategy: Discussion and thesis about the best low risk betting strategy to play roulette with.

Lucky Numbers Betting System: Yeah you should know what this is – basically betting your lucky numbers. A nice simple betting system but we explain how to use it in more detail.

Martingale Betting System: The most popular betting system of all times, created over 250 years ago in France you've probably used this betting system without even knowing it.

Martingale Doubling Betting System: This is essentially the Martingale Betting System, but as I get a lot of requests from people to explain the 'Martingale Doubling Betting System' I wrote a separate article with a slightly different take.

Mini Roulette Odds: In this article I go into the math of Mini Roulette and the odds and house edge.

Mini Roulette Strategy: Mini Roulette is a popular varation of roulette which has just 13 spaces with the numbers from 0-12. In this article I discuss the ideal mini roulette strategy.

Numbers Betting System: This is probably one of the more obscure betting systems out there. It's quite complex and requires a bit of work so be sure to be familiar with Roulette before attempting the Numbers Betting System.

Red Snake Betting System: A comprehensive guide to the Red Snake Roulette Betting System. What it is and how it works.

Oscar's Grind Betting System: This is, as the name suggests, a 'grind'. It's focused on winning 1 unit at a time and I cover exactly how it works within this article.

Parlay Betting System: North Americans will know what a parlay is – anyone outside of USA or Canada – it's more a combo, or an accumulator in sports betting terms. You can use this system at Roulette amazingly enough, and it's quite the fun betting system.

Paroli Betting System: A progressive betting system that is relatively simple – increasing your unit amount when you win.

Pattern Betting System: This is a classic betting system found at roulette, based on betting on three different sectors within the Roulette Wheel.

Pyramid Betting System Online casino with free play. : Also known as the D'Alembert Betting System, it's one of the most popular betting system for beginner players next to the Martingale system.

Red Roulette Betting System: Red Roulette is an interesting betting system focused on betting on a specific colour.

Reverse D'Alembert Betting System: Now we get into the 'reverse' betting systems – where it is basically the betting system in reverse. This is a neat one.

Reverse Fibonacci Betting System: Using the Fibonacci Sequence, the Reverse Fibonacci Betting System is an intriguing betting system although rather complicated. I explain how to use it here.

Reverse Martingale Betting System: This is the exact same as the Anti-Martingale Betting System. Most people know them by both variations so we have two separate articles with a different perspective covering both.

Reverse Sleeper System: This is a progressive system involving doubling the bet after each win.

The Shotwell System: Introduced in 1978 in Gambling Times Magazine, The Shotwell System is an interesting system which uses one out of seven betting number combinations.

Six Pack Plus System: A relatively new system involving making a single double street bet and then three dozens bets.

Single Repeats Betting System: This is one of my favourite betting systems – you basically follow the numbers one at a time. So you sit out the first spin and then bet the number that just won. Then you bet the next number that just won – and keep on going until you win, and you increase the units based on winning.

Sleeper System: The roulette sleeper system is based on betting the sleeping numbers – the ones that haven't came up yet.

https://liosubta-wooo.wixsite.com/universitysoft/post/vegas-slots-cheats. Nexus 7 usb file transfer. Super Martingale Betting System: If you're a fan of the Martingale Betting System, then you'll want to check out the Super Martingale Betting System that really is an interesting take on the Martingale.

Whittaker Betting System: Similar to the Fibonacci, this is a negative progression betting system.

Worst Bets in Roulette: In this article I cover the worst possible bets to make in roulette. A great article for beginners.

Expected Values in Roulette: In this article I look into the expected values within Roulette.

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

Roulette odds strategy meaning

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.

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

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.

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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.

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Written by: Michael Shackleford





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