Best Odds Roulette System

Roulette strategy banned by casinos consists of best ever free roulette systems based on probability theory, mathematics of winning or losing streaks, any bets. The Super Roulette Strategy: The Best Roulette Systems Ever: Win Loss WL Streaks, Progression Betting.

Labouchere Roulette Again, the Labouchere roulette system is best used when betting on 1/1 payouts such as red or black. It can be difficult to understand at first but we’re going to try and explain it to you in the clearest possible way. Before you start playing, you’ll need to write down the total amount of money you want to win. Odds and Payback on Individual Online Roulette Bets. It’s important to realize that your RTP and house edge for individual wagers on a roulette board are pretty much the same as they are for the overall game. Roulette is unique in that sense, in that the balance between risk and return is so symmetrical. This is the case in both American and European roulette which renders the system suitable for either variation of the game. This system calls for making only two bets – one bet on the third column and another one on black to cover the remaining four numbers in this column. It is up to players to decide what base unit to use and how many units. Written by Frank Scoblete, best seller gaming author. This Ultimate Roulette Guide is divided into 13 chapters, it covers everything from the roulette history and odds to strategy and systems. This is the most complete and reliable Roulette guide you will find anywhere.

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I love writing about roulette betting systems because it gives me a chance to show off both my English skills and my math skills. And since no roulette betting system works in the long run, I get to educate and perform a public service — warning people off some of the slick system-sellers who make money from your naivete.

Best Odds Roulette System

You might be surprised to know, though, that I love to use roulette betting systems when I’m actually gambling.

Yeah, I know you can’t win in the long run with such a system.

Best Odds Roulette System

But I get bored playing roulette without some kind of system.

And sometimes, in the short run, these systems do work exactly as intended.

Here are my seven favorite roulette systems for you to try:

1 – The Martingale System

The most famous of all betting systems is the Martingale System, and it’s also one of the easiest systems to use. If you can double a number, you can use the Martingale System.

To use the system, you just place an outside bet at the roulette table – one of the bets that pays off at even money. This could be red or black, odd or even, or high or low.

If you win that bet, great!

If you lose, though, you bet again – doubling the size of your previous bet.

You continue with this progression even when you lose multiple times in a row, doubling your bet every time you lose.

If you start with a $5 bet, you’ll bet $10 after losing once, $20 after losing twice, and $40 after losing three times in a row.

Eventually, when you do have a win, you’ll win back the amount of all your previous losses and show a $5 profit.

The Martingale System sounds foolproof at first glance, and it would be foolproof except for two things.

  • The first is that you don’t have an unlimited bankroll.
  • The second is that the casino has a maximum betting limit.

And when you’re doubling the size of your bets, the bets can get so big so fast that you either can’t cover them because you’re out of money or because the casino won’t let you bet that much on the next spin.

Let’s say you’re playing in a game with a $5 minimum bet and a $500 maximum bet, which isn’t an unusual set of limits.

How many losses in a row do you need before you bang against the maximum bet?

  1. $5
  2. $10
  3. $20
  4. $40
  5. $80
  6. $160
  7. $320

Lose seven times in a row, and you can’t make the next bet in the progression.

Plus, you’ve lost $495 up until this point.

Of course, in the short run, the Martingale System works a lot of the time, but you don’t usually show much profit.

In the long run, you’ll eventually hit a big enough losing streak to wipe you out.

2 – The Paroli System

The Paroli System is the opposite of the Martingale System. In fact, you’ll sometimes see it called the “Reverse Martingale.”

Instead of doubling the size of your bets after you lose, with the Paroli System, you double them after a win.

Once you’ve won a specific number of bets in a row (usually three), you return to your initial bet size.

The idea is that you’ll be taking advantage of the occasional winning streaks that are inevitable in a game of random chance like roulette.

You bet $5 on red, so you bet $10 on red on the next spin. You win again, and now you bet $20 on red.

If you win, you’ve won a total of $35 over three spins of the wheel.

And you start over again betting $5.

Of course, in the long run, the Paroli System works no better than the Martingale System, and for the same reason:

Changing the sizes of your bets does nothing to change the odds of winning or losing.

Also, you have no way of predicting when a color gets “hot.”

That’s only visible in retrospect.

3 – The Labouchere Betting System

The Labouochere betting system isn’t one of my favorites because it’s more complicated than I’d prefer.

But it’s not that complicated that you can’t master it.

Here’s how it works:

You start with a list of bets of varying sizes in order from smallest to largest.

For example, you might write 10, 20, 30, and 40 down on a notecard in a row.

You start by placing the lowest bet on the card. If you win that bet, you cross out the first and last numbers on the card.

If you lose that bet, though, you add the size of that bet to the last number in the series. 10 + 40 is 50, so your list would become 10, 20, 30, 40, 50.

You play until you run out of money or until all the bets are crossed off.

This is a progressive system, like the Martingale, that tries to win back your losses based on the rules in place for the system.

You could also eventually run into the same problem you have with the Martingale. You might hit a bet size that’s higher than the table limit or that your bankroll won’t accommodate.

4 – The Grand Martingale System

If you’re not afraid of risk, the Grand Martingale System might be just the ticket for you. It works just like the Martingale System but with one big difference.

Instead of doubling the size of your bet after each loss, you triple the size of your bet after each loss.

The advantage of the Grand Martingale System is that you’ll see bigger winning sessions when you do win.

The disadvantage is that the bet sizes will get much larger much faster, which means you’ll hit your bankroll or maximum bet limits sooner.

Here’s a Grand Martingale progression starting with $5:

  1. $5
  2. $15
  3. $45
  4. $135
  5. $405

Notice after just five losses, you must place a bet higher than the table limits of $500 to continue with the progression?

It’s a fun way to play, but it’s still a loser in the long run.

5 – The Hollandish System

The Hollandish System is a gentler roulette system because you don’t raise or lower your bets as often as in other systems. Instead of raising your bet after your first one, you make three bets at a certain amount before raising the size.
The Hollandish System also takes it a little easier on you by not requiring you to raise your bets by as much. You use a specific progression, as follows:

  • 1
  • 3
  • 5
  • 7
  • 9

So if you start by betting $5, when you get to the next level, you’ll bet $15. And then $25, and so on.

You only move up in levels if you’ve shown a net loss from the three previous bets.

For example, you start with a $5 bet. You win twice, but you lose once. You’re showing a net profit, so you stay at that level for another three-bet streak.

Your buddy, though, lost twice and won once. After three bets, he moves up to betting $15 per bet for the next three bets.

One of the big advantages to this system is that you don’t have to increase the size of your bets as much during an extended losing streak.

Here’s what a progression would look like with six losses in a row using the Martingale System:

  1. $5
  2. $10
  3. $20
  4. $40
  5. $80
  6. $160

But with the Hollandish System, your bets would look like this:

  1. $5
  2. $5
  3. $5
  4. $15
  5. $15
  6. $15

You’ve lost significantly less money on this losing streak using the Hollandish System.

6 – The Hot Number System

This isn’t even a betting system, really. It’s just an attempt to win some money by betting on the “hot” roulette numbers.

To put this system into action, just look at the board at the roulette table showing the numbers that have hit over the last 10 or 20 spins.

System

Find the number that’s been hit the most often.

Bet on it.

Keep betting on it until another number gets “hotter.” (That just means it’s won more times over the last 10 or 20 spins than your original hot number.

The idea is that you’ll catch a table that isn’t perfectly calibrated and win money based on the higher probability of catching that hot number.

7 – Orson’s Go Big or Go Home System

This one is a system of my own devising. I like the idea of stop-loss limits and win goals, even though I understand that they don’t improve my probability of winning.

With my go big or go home system, I want to win a 35 to 1 payout or go broke, whichever comes first.

I start with about 40 bets of $5, or $200. That’s my loss limit. (I’m not willing to lose more than $200 playing roulette in a single session, almost ever.)

I then choose a number, and I keep betting on that number until it hits, or I run out of money.

Depending on when it hits, I make a big profit or a small profit.

And here’s what I do if I really want to hit it big:

  • I let my profits ride so that I can win two jackpots.
  • So I bet $5 on 16 and win 35 to 1.
  • Now I bet $180 on that number. That’s my winnings plus my original $5 bet.
  • If I win this one, it’s time to call it quits, because I’ve hit the jackpot — a cool $6300.

It’s like playing a slot machine with a $6300 jackpot, but my odds of winning are better than they would be on a slot machine game.

What are the odds of winning?

The odds of winning that bet once are 1/38, or 37 to 1.

1/38 X 1/38 = 1/1444, or 1443 to 1.

I’m still trying to win using this system.

Conclusion

That’s basically just a list of my favorite seven roulette betting systems to use. I want to warn you again that none of these work in the long run.

Betting systems are not advantage systems.

Do you have a favorite roulette system that I didn’t cover here?

Leave a comment and let me know.

Please enable JavaScript to view the comments powered by Disqus.

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

Best
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

Best Odds Roulette System Review

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

Best Odds Roulette System Chart

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.

Best Odds Roulette System Youtube


Written by: Michael Shackleford