It’s no secret that people are a superstitious bunch. Detectives act on their “hunches”, students taking exams cross their fingers and knock on wood, and hotel owners skip from 12 straight to 14 in their floor plan. And in roulette, players favour some numbers over others. Is there any rhyme or reason to this, or is it simply what it sounds like: an old wives tale? Can humans really tap into something deeper when it comes to luck and probability, or are we really all stuck in a gradually overheating RNG machine?
A Brief History
The link between betting and probability has a long and intermingled history. In fact, gambling is the mother of probability. Blaise Pascal, who accidentally invented the roulette wheel in his attempt to construct a perpetual motion machine, struggled with the idea of probability from a mathematical standpoint. Through the contemplation of a notoriously difficult hypothetical gambling problem, he and Pierre de Fermat formulated the theory of probability. Before this time, there was no other “scientific” way for people to rationally predict outcomes to situations. They had to guess and trust their gut instinct. Since roulette and the theory of probability have grown together side by side, why is it that many people still adamantly hold onto their superstitious ways? Perhaps, sometimes there really is something that guides people to choose the way they do.
The Legend of 17
. One token at the corner of the numbers 32,33,35 and 36. With this strategy, you can only lose in case the following numbers land on the roulette table: 6,9,10,13,18,21,22,25,30 and 34. How much I can win with 7 corners roulette strategy? By using 7 corners roulette strategy, you are guaranteed small but regular winnings. 17: Sitting right in the middle of the betting table, 17 is a favourite among players who believe the ball will land in the sweet spot. 23-24: When glancing over the table, it is said that the eye is naturally drawn to these two numbers. 7: For obvious reasons, the lucky number 7 is a fan-favourite among gamblers. The next time you play live dealer online roulette, it would be a good idea to.
- 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.
- Whereas the 5 Number bet is the worst bet in roulette, the Four Bet has the same odds as the rest of the bets in European Roulette. Just as you can only play the 5 Number bet in American Roulette, you can only play the Four Number bet in European roulette as each of these bets includes the zero(s). Remember, there are 2 zero pockets on an.
- Lightning Roulette is essentially European Roulette but with the opportunity to win up to 500 x on a straight-up number. In this regard, the Lighting Roulette rules are the same. A straight-up win without the multiplier applied pays 29:1; in normal roulette, you’ll get 35:1.
The number 17 is the number in the centre of the roulette board and is also famous for delivering some staggering wins.
- “Newcastle boss wins £1.3 million on lucky number 17”
- Sean Connery wins on 17 3 times in a row
If you ask croupiers what the most common number people bet on, the answer will always be 17. Not only does it lie in the centre of the board, making it the most obvious place to bet, MIT have described the number 17 as the “most random number”, meaning that when people choose a random number they go straight for 17. In several studies when correspondents were asked to choose a random number from 1 to 20, 17 was the most frequently chosen, making it the least random number by human standards. 7 followed closely behind. Computerised RNG made no such biases.
So, perhaps the phenomenal wins commonly associated with the number are simply because more people bet on 17. Ashley, a long time roulette player, most likely bet on the number 17 a lot of times before he hit his big break.
Sean Connery’s Staggering Win
But, this doesn’t explain Sean Connery’s unbelievable achievement on the roulette wheel. Reportedly, while playing in Casino de la Vallee in Saint-Vincent, Italy, he placed 5 bets on the number 17. Sakura lady slot. The first two he lost, but he persisted. The third time lucky, his number came up winning him 31:1 odds. Not content to settle with that, he placed all his winnings back on the number 17. Literally against all odds, the movie star wins again. Instead of walking away, Connery tempts fate and puts all his money on the 17 for a fifth and final time. The number comes up. Apparently the probability of hitting three single number bets in a row is 0.0000197% or 50,000:1. While it is weird that it would be the same number three times in a row, mathematically it’s like as likely as Connery guessing any other number correctly. Of course, that doesn’t make it any less bizarre.
What on earth is going on here? Perhaps the number 17 truly is a mythical number for roulette. Networker 5 0 4 download free.
Perhaps the reason is simply that Connery spotted a bias with the roulette wheel, and went with it. However, since the roulette wheel missed the mark the first two times, it still seems extremely risky. Maybe Connery was simply in the mood for a thrill! Or, perhaps he slipped the croupier a little something under the table… Sadly, we will never really know the answer to the mystery of the number 17. We can see why people love betting on it though!
Other Common Lucky Numbers
The number 7 is perhaps the most common number that people like to bet on, after 17, because it is generally considered to be lucky. People also love the number 3, as everyone knows all good things come in threes. However, these numbers are all lucky in the Western culture. Eastern casinos would tell an entirely different story of what the most common numbers bet on are. For instance, the number two has extremely positive associations in Asian casinos: double your luck and double your chances!
Least Favourite Numbers To Bet On
As we already mentioned, people tend to avoid the number 13. Its unluckiness is well established throughout most of Western culture. However, in Italy the number 13 is lucky and the number 17 unlucky. So, if you are betting with an Italian you can expect them to do the reverse of what you might expect. Players universally tend to dislike betting on the zeros, perhaps because of the placement on the board, and perhaps because of their unlucky associations with the house edge.
Conclusion
17 is a very common number to bet on, which is most likely why you hear so many great success stories surrounding it. 7 is also very common and has enjoyed fame because of a number of big wins associated with it. The more fame these number have, the more likely people are to bet in them – thus increasing their fame and luck further.
Whatever number you bet on mathematically has the same chance of coming up. So if you do have a favourite number spread that means a lot to you, like a birthday or anniversary date, there’s no reason why you shouldn’t use it. They are just as likely, or rather unlikely, to come up as any other. Then, when your numbers do come up you’ll have all the more reason to favour them! Keep this in mind when playing online for real money.
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. Happy birthday marco images. 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
Statistic | Value |
---|---|
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
Statistic | Value |
---|---|
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
Count | Probability 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
Observations | Probability 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
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Order | Mean | Median | Mode |
---|---|---|---|
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.
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Count of the Coolest Four Numbers in 300 Spins on a Double-Zero Wheel
Observations | Probability 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
Order | Mean | Median | Mode |
---|---|---|---|
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
Observations | Probability 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
Order | Mean | Median | Mode |
---|---|---|---|
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
Observations | Probability 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
Order | Mean | Median | Mode |
---|---|---|---|
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