Roulette Winning Numbers History
2021年10月27日Register here: http://gg.gg/wc3we
Introduction
Single zero roulette wheel (38×38=1,444 on a double zero wheel) or electronic or Televised Roulette games which includes Betting Shop machines and on-line roulette. Important Note:This needs to be checked by your own collection of numbers taken at random but in date order with not too many spins taken from the same machine or table at any one. Like many games of chance found at a casino, roulette comes with its own set of superstitions and myths. Regardless of how many numbers on a roulette wheel, many gamblers like to know which numbers are ‘hot roulette’ numbers and which are ‘cold roulette’ numbers. Players who make a winning bet receive odds of 35 to win, and also recover their original bet. Bets can be placed in a variety of ways, on individual numbers, colors, or combinations, ranges, odds, or evens. Blaise Pascal invented the first roulette wheel.
*The history of roulette in the USA At the end of the 18th century. It formed into the game, as we know it today and was brought to the USA by French immigrants during the French Revolution at the end of the 18th century. New Orleans became a popular center to gamble where people firstly hear a story about roulette.
*So the best roulette bet is betting on areas of the wheel. In fact it’s the only way to change the odds of winning at the table. But there’s a catch. If your roulette system was accurately predicting the winning number (or winning area of the wheel), you will have increased your odds of winning, and would be profiting.
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. Most Winning Numbers In Roulette
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 WheelStatisticValue 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 WheelStatisticValue 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 RouletteCountProbability
Single ZeroCummulative
Single ZeroProbability
Double ZeroCummulative
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. Most Hit Numbers In Roulette
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 WheelObservationsProbability
Most FrequentProbability Second
Most FrequentProbability Third
Most FrequentProbability 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability Least
FrequentProbability Second
Least FrequentProbability Third
Least FrequentProbability 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability
Most FrequentProbability Second
Most FrequentProbability Third
Most FrequentProbability 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
Free offline casino slots download. 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability Least
FrequentProbability Second
Least FrequentProbability Third
Least FrequentProbability 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 WheelRoulette Winning Numbers History TodayOrderMeanMedianMode 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
Aluminium profile slot 63. 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
Register here: http://gg.gg/wc3we
https://diarynote.indered.space
Introduction
Single zero roulette wheel (38×38=1,444 on a double zero wheel) or electronic or Televised Roulette games which includes Betting Shop machines and on-line roulette. Important Note:This needs to be checked by your own collection of numbers taken at random but in date order with not too many spins taken from the same machine or table at any one. Like many games of chance found at a casino, roulette comes with its own set of superstitions and myths. Regardless of how many numbers on a roulette wheel, many gamblers like to know which numbers are ‘hot roulette’ numbers and which are ‘cold roulette’ numbers. Players who make a winning bet receive odds of 35 to win, and also recover their original bet. Bets can be placed in a variety of ways, on individual numbers, colors, or combinations, ranges, odds, or evens. Blaise Pascal invented the first roulette wheel.
*The history of roulette in the USA At the end of the 18th century. It formed into the game, as we know it today and was brought to the USA by French immigrants during the French Revolution at the end of the 18th century. New Orleans became a popular center to gamble where people firstly hear a story about roulette.
*So the best roulette bet is betting on areas of the wheel. In fact it’s the only way to change the odds of winning at the table. But there’s a catch. If your roulette system was accurately predicting the winning number (or winning area of the wheel), you will have increased your odds of winning, and would be profiting.
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. Most Winning Numbers In Roulette
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 WheelStatisticValue 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 WheelStatisticValue 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 RouletteCountProbability
Single ZeroCummulative
Single ZeroProbability
Double ZeroCummulative
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. Most Hit Numbers In Roulette
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 WheelObservationsProbability
Most FrequentProbability Second
Most FrequentProbability Third
Most FrequentProbability 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability Least
FrequentProbability Second
Least FrequentProbability Third
Least FrequentProbability 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability
Most FrequentProbability Second
Most FrequentProbability Third
Most FrequentProbability 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
Free offline casino slots download. 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 WheelOrderMeanMedianMode 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 WheelObservationsProbability Least
FrequentProbability Second
Least FrequentProbability Third
Least FrequentProbability 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 WheelRoulette Winning Numbers History TodayOrderMeanMedianMode 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
Aluminium profile slot 63. 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
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