1. With table games like roulette, the payoffs are in the form of 2 to 1, 3 to 1, 35 to 1, etc. This means that if you win the bet, you get to keep the amount you bet, and you get the winnings along with it. If you bet $100 on a single number at the roulette table and win, you get a payoff of $3,500. But you also get to keep your $100.
2. It includes eight numbers: 17, 34, 6, 1, 20, 14, 31, and 9. Five bets are placed on four splits and one straight up. The straight-up bet is 1, and the splits include 6/9, 14/17, 17/20, and 31/34.
3. 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.
4. The roulette number 8, in contrast, is seen as very lucky in China. Numbers that add up to 8 like the number 26 are also seen as lucky (it also sounds a bit like “easy profitable” in Cantonese.) 32Red is Named after one of our Favourite Roulette Numbers- Get the Bonus HERE That’s what this section is all about.

Practice, memory and training. There are only five different payouts for the game. Six line pays 5 to 1 Corner pays 8 to 1 Street pays 11 to 1 Split pays 17 to 1 And Straight up 35 to 1 5× and 11× is fairly easy for anyone to work out, so.

For the most part, calculating roulette payouts is just a matter of multiplication. Each bet pays out at certain odds, and that determines what you multiply the bet by to get the payout. Also, as with most table games, the payouts are done on an X to Y basis, as opposed to an X for Y basis.

This post wants to cover roulette payouts in some degree of detail, though, including how much each bet pays off.

More importantly, I want to explain how the croupier is able to calculate payouts for roulette so quickly. Guess what? They have a system for that.

Payout Odds in Gambling

When you’re gambling on something, you get paid off using odds. Some games offer even odds, which means that if you bet $100, you win $100 when you win.

Most games, though, have various payouts for various kinds of bets.

The top jackpot on a video poker machine pays off at 800 for 1.

And that’s an important distinction. There’s a big difference between a payoff of 800 for 1 and a payoff of 800 to 1.

With table games like roulette, the payoffs are in the form of 2 to 1, 3 to 1, 35 to 1, etc.

This means that if you win the bet, you get to keep the amount you bet, and you get the winnings along with it.

If you bet $100 on a single number at the roulette table and win, you get a payoff of $3,500. But you also get to keep your $100.

With gambling machines, payouts are made on a “for” basis instead of a “to” basis. This means your winnings are traded for what you risked.

If you bet $5 on a slot machine and win a $10 payout, you don’t get your $5 back on top of that.

This is an important distinction you should make. Most gamblers don’t stick just with roulette, so if you’re going to play other games — and you probably will — you should understand how that works.

Specific Payouts in the Game of Roulette

In roulette, you have a huge variety of bets you can place. You bet on a single number. Or you can bet on two numbers — if either of those numbers come up, you win. Or you can bet on three numbers, and if any of those three numbers come up, you win.

The more likely it is for you to win, the lower the payout is.

A bet on black wins almost half the time. The payoff for that bet is only 1 to 1, or even money.

A bet on a single number pays off at 35 to 1, which is a big payoff, but it also only wins 1 out of every 38 spins on average.

The Difference Between the Odds of Winning and the Payout Odds

The casino makes its money from the difference between the odds of winning and the payout odds.

You know how you can express the payout on a bet as odds?

35 to 1 is an example of how you’d express a payoff on the single number bet.

The odds of winning can also be expressed in the same way.

What Do All The Numbers On A Roulette Table Add Up To

On a standard American roulette wheel, you have 37 ways to lose a single number bet and only one way to win.

This means the odds of winning are 37 to 1.

Since the odds of winning are lower than the payoff for the bet, the casino makes a profit in the long run.

Once out of every 38 spins, they’ll pay off a single number bet, but they’ll only pay off 35 to 1 on that bet. The rest of the money goes into the casino’s pocket.

The casino deals in long-term averages, especially when it comes to roulette.

Roulette Bets and Their Payoffs

Here’s a list of bets you can make at the roulette table and how much each of them pays off.

The Outside Bets

These are the bets on the outside of the betting surface, and they’re the bets that pay off the most often. As a result, you win less with these bets.

Here are the outside bets you can make:

• Red(or Black) – You can bet on the color of the number, and the payout is even money — 1 to 1
• Even (or Odd) – You can bet that the number will be even or odd, and the payout is again even money — 1 to 1
• Low (or High) – You can bet that the number will be 1-18 (low) or 19-36 (high). The payout is even money on this one, too
• Columns – The numbers on the betting surface are organized into three columns. You can bet that the ball will land on one of the numbers in that column. The payoff, if you guess right, is 2 to 1
• Dozens – The numbers can be divided into 1^st third (1-12), 2^nd third (13-24), and 3^rd third (25-36). If you guess right, you get a 2 to 1 payout

On all these outside bets, 0 and 00 count as losses. Those numbers are green, and they’re not considered even or odd, high or low.

The Inside Bets

These are the bets on the inside of the betting surface. They pay out better but have a bigger chance of losing.

Here are the inside bets you can make:

• Straight Up – This is a bet on a single number and pays off at 35 to 1
• Split – This is a bet on two numbers that are next to each other. It pays off at 17 to 1
• Street – This is a bet on three numbers, and it pays off at 11 to 1
• Corners – This is a bet on four numbers, and it pays off at 8 to 1
• The 5-Number Bet – You can only bet on 0, 00, 1, 2, and 3 if you want to bet on five numbers, and it pays off at 6 to 1. This is the only bet on the roulette table with a different house edge from the other bets — 7.89% (the other bets have a house edge of 5.26%)
• Line – This is a bet on six numbers and pays off at 5 to 1

All these bets would be a break-even proposition in the long run IF the wheel didn’t have a green 0 and a green 00.

How the Croupier Makes the Payouts So Quickly

The first thing the croupier does after the decision is to clear all the losing bets off the roulette table. Since he’s intimately familiar with the layout of the betting surface, this doesn’t take long at all.

Also, all the players at the roulette table have chips that are specifically colored so that they have the same color. You can’t use the roulette chips at the other table. This enables the croupier to tell your bet from someone else’s. It’s the color of the chips.

To calculate the payouts, you just multiply the bet by the payout odds.

If someone bet two chips on a single number and it won, you’d multiply 2 by 35 and get 70. That’s how many chips you’d give the player in winnings.

He doesn’t really have a magical system, either. He knows the payouts for the various bets, and he’s able to do the multiplication in his head. It’s easy multiplication, but even if it weren’t, he’d eventually just be able to memorize the correct payout relative to the number of chips bet.

Also, he doesn’t really think of the chips as money. They’re just betting units.

Can Any of This Information Help Me Win at Roulette?

Naw.

Roulette’s a negative expectation game.

You might get lucky in the short run, but if you play long enough, the math behind the payouts will eventually reduce your bankroll to 0.

Conclusion

And that’s how to calculate roulette payouts. You just memorize which bets are possible and how much they pay off. Once you know that, calculating the payouts is just a matter of multiplication.

Croupiers are able to do it quickly because they do it all day every day.

I’m able to make change in my head because I worked for years on cash registers that didn’t calculate change. I know how to subtract from 100 without any effort at all.

Calculating roulette payouts is a similar skill.

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Introduction

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

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

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

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

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

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

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

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

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.

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

What Do The Numbers On A Roulette Table Add Up To

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

What Do The Numbers On A Roulette Table Add Up To Yahoo

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

What Do The Numbers On A Roulette Table Add Up Total

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:

What Do The Numbers On A Roulette Table Add Up To Play

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.

What Do The Numbers On A Roulette Table Add Up To Google

Written by: Michael Shackleford