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A roleta europeia, também conhecida como roleta francesa, é uma variante popular do jogo de casino clássico. A roleta europeia 🔔 é jogada em deutsches roulette uma mesa com compartimentos numerados de 0 a 36, perfurada no centro por um eixo horizontal. 🔔 Uma bola de metal é girada na roleta em deutsches roulette alta velocidade, e os jogadores fazem suas apostas sobre onde 🔔 a bola irá parar.

A roleta europeia se distingue da roleta americana por ter apenas um compartimento "0" em deutsches roulette vez 🔔 de dois ("0" e "00"). Isso reduz a vantagem da casa, aumentando as chances dos jogadores de ganhar. Além disso, 🔔 a roleta europeia oferece uma variedade de opções de apostas, incluindo apostas internas e externas, aumentando a emocionante e envolvente.

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Here are a bunch of charts and tables for different probabilities in both 🏀 European and American roulette.

There's also some handy (but not necessarily easy) information at the bottom about working out roulette probabilities, 🏀 plus a little bit on the gambler's fallacy.

Bet 🏀 Type Fraction Ratio Percentage Even (e.g. Red/Black) 1/2.06 1.06 to 1 48.6% Column 1/3.08 2.08 to 1 32.4% Dozen 1/3.08 🏀 2.08 to 1 32.4% Six Line 1/6.17 5.17 to 1 16.2% Corner 1/9.25 8.25 to 1 10.8% Street 1/12.33 11.33 🏀 to 1 8.1% Split 1/19.50 18.50 to 1 5.4% Straight 1/37.00 36.00 to 1 2.7%

A simple bar chart to highlight 🏀 the percentage probabilities of the different bet types in roulette coming in.

How unlikely is it 🏀 to see the same color 2 or more times in a row? What's the probability of the results of 5 🏀 spins of the roulette wheel being red? The following chart highlights the probabilities of the same color appearing over a 🏀 certain number of spins of the roulette wheel.

A graph to show the probability of seeing the same color of red/black 🏀 (or any evens bet result for that matter) over multiple spins.

Number of Spins Ratio Percentage 1 1.06 to 1 48.6% 🏀 2 3.23 to 1 23.7% 3 7.69 to 1 11.5% 4 16.9 to 1 5.60% 5 35.7 to 1 2.73% 🏀 6 74.4 to 1 1.33% 7 154 to 1 0.65% 8 318 to 1 0.31% 9 654 to 1 0.15% 🏀 10 1,346 to 1 0.074% 15 49,423 to 1 0.0020% 20 1,813,778 to 1 0.000055%

Example: The probability of the same 🏀 color showing up 4 times in a row is 5.60% .

As the graph shows, the probability of seeing the same 🏀 color on consecutive spins of the roulette wheel more than halves (well, the ratio probability doubles) from one spin to 🏀 the next.

I stopped the graph at 6 trials/spins, as that was enough to highlight the trend and produce a prettier 🏀 probability graph.

Event Ratio Percentage The same number (e.g. 32 ) over 2 spins. 1,368 to 1 0.073% The result 🏀 being 0 . 36 to 1 2.7% The 0 appearing at least once over 10 spins. 2.7 to 1 27.0% 🏀 The same color over 2 spins. 3.23 to 1 23.7% Guessing color and even/odd correctly. 3.11 to 1 24.3% Guessing 🏀 color and dozen correctly. 5.16 to 1 16.2% Guessing dozen and column correctly. 8.25 to 1 10.8%

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Alongside the charts, 🏀 I've included graphs that compare the American roulette probabilities to those of the European roulette probabilities. The difference in odds 🏀 and probability for these two variants is explained in the American vs. European probability section below.

Bet Type Fraction Ratio Percentage Even (e.g. Red/Black) 1/2.11 1.11 to 1 47.4% Column 1/3.16 🏀 2.16 to 1 31.6% Dozen 1/3.16 2.16 to 1 31.6% Six Line 1/6.33 5.33 to 1 15.8% Corner 1/9.50 8.50 🏀 to 1 10.5% Street 1/12.67 11.67 to 1 7.9% Split 1/19.00 18.00 to 1 5.3% Straight 1/38.00 37.00 to 1 🏀 2.6%

A simple bar chart to highlight the percentage probabilities of winning with the different bet types in American and European 🏀 roulette.

When playing on an American roulette wheel, what's the probability of seeing the same color 🏀 appear X times in a row? The table below lists both the ratio and percentage probability over successive numbers of 🏀 spins.

A graph to show the probability of seeing the same color of red/black on an American roulette table (compared to 🏀 the odds on a European table).

Number of Spins Ratio Percentage 1 1.11 to 1 47.4% 2 3.45 to 1 22.4% 🏀 3 8.41 to 1 10.6% 4 18.9 to 1 5.04% 5 40.9 to 1 2.39% 6 87.5 to 1 1.13% 🏀 7 186 to 1 0.54% 8 394 to 1 0.25% 9 832 to 1 0.12% 10 1,757 to 1 0.057% 🏀 15 73,732 to 1 0.0014% 20 3,091,873 to 1 0.000032%

Example: The probability of the same color showing up 6 times 🏀 in a row on an American roulette wheel is 1.13% .

The probability of seeing the same color appear on successive 🏀 spins just over halves from one spin to the next.

You'll also notice that it's less likely to see the same 🏀 color appear on multiple spins in a row on an American roulette wheel than it is on a European wheel. 🏀 This is not because the American wheel is "fairer" and dishes out red/black colors more evenly — it's because there 🏀 is an additional green number (the double zero - 00) that increases the likelihood of disrupting the flow of successive 🏀 same-color spins.

Event Ratio Percentage The same number (e.g. 32 ) over 2 spins. 1,444 to 1 0.069% The result 🏀 being 0 or 00 . 18 to 1 5.26% The 0 or 00 appearing at least once over 10 spins. 🏀 0.9 to 1 52.6% The same color over 2 spins. 3.45 to 1 22.4% Guessing color and even/odd correctly. 3.22 🏀 to 1 23.7% Guessing color and dozen correctly. 5.33 to 1 15.8% Guessing dozen and column correctly. 8.5 to 1 🏀 10.5%

The probabilities in American and European roulette are different because 🏀 American roulette has an extra green number (the double zero - 00), whereas European roulette does not.

Therefore, the presence of 🏀 this additional green number ever so slightly decreases the probability of hitting other specific numbers or sets of numbers, whether 🏀 it be over one spin or over multiple spins.

To give a simplified example, lets say I have a bag with 🏀 1 red, 1 black and 1 green ball in it. If I ask you to pick out one ball at 🏀 random, the probability of choosing a red ball would be 1 in 3.

Now, if I added another green ball so 🏀 that there are now 2 green balls in the bag, the probability of picking out a red ball has dropped 🏀 to 1 in 4.

This exact same idea applies to all the probabilities in American roulette (thanks to that extra 00 🏀 number), just on a slightly bigger scale.

Fact: This difference in the probabilities also has a knock-on effect for the house 🏀 edge too. So essentially, in American roulette you have a slightly worse chance of winning, but the payouts remain the 🏀 same.

Note: You can find out more about the differences between these two games in my article American vs European roulette.

There are a number of ways to display probabilities. On the roulette charts above I have used; ratio odds, 🏀 percentage odds and sometimes fractional odds. But what do they mean?

Percentage odds (%) This is easy. This tells you the 🏀 percentage of the time an event occurs. Ratio odds (X to 1) For every time X happens, the event will 🏀 occur 1 time.

Example: The ratio odds of a specific number appearing are 36 to 1, which means that for every 🏀 36 times the number doesn't appear, it will appear 1 time. Fractional odds (1/X) The event occurs 1 time out 🏀 of X amount of trials.

Example: The fractional odds of a specific number appearing are 1/37, which means that it will 🏀 happen 1 time out of 37 spins.

As you can see, fractional odds and ratio odds are pretty similar. The main 🏀 difference is that fractional odds uses the total number of spins, whereas the ratio just splits it up in to 🏀 two parts.

The majority of people are most comfortable using percentage odds, as they're the most widely understood. Feel free to 🏀 use whatever makes the most sense to you though of course. They all point to the same thing at the 🏀 end of the day.

From my experience, the easiest way to work out probabilities in roulette is to look at 🏀 the fraction of numbers for your desired probability, then convert to a percentage or ratio from there.

For example, lets say 🏀 you want to know the probability of the result being red on a European wheel. Well, there are 18 red 🏀 numbers and 37 numbers in total, so the fractional probability is 18/37. Simple.

With this easy-to-get fractional probability, you can then 🏀 convert it to a ratio or percentage.

Calculation: Count the amount of numbers that give you the result you want 🏀 to find the probability for, then put that number over 37 (the total number of possible results).

Dozen and Column = 4/37 (there are only 4 numbers in 🏀 the same dozen and column)

As well as working out the probability of winning on each spin, you can also find 🏀 the likelihood of losing on each spin. All you have to do is count the numbers that will result in 🏀 a loss. For example, the probability of losing if you bet on red is 19/37 (18 black numbers + 1 🏀 green number).

Note: To reduce a fraction down to 1/X, just divide each side by the number on the left. e.g. 🏀 a bet on red has the probability of 18/37, divide each side by 18 and you've got 1/2.05.

Calculation: Work 🏀 out the fractional probability for each individual spin (as above), then multiply those fractions together.

For example, let's say you want 🏀 to find the probability of making correct guesses on specific bet types over multiple spins:

To 🏀 keep it simple, I reduced the all fractions for the results above down to the 1/X format.

Having probabilities in 🏀 a fraction format like 18/37 or 1/2.05 is okay, but sometimes it's more useful to see the probability as a 🏀 percentage or a ratio. Luckily, it's pretty easy to convert to either of these from a fraction.

Conversion: Reduce 🏀 the fraction to the 1/X format, then take 1 away from X. This will give you the X to 1 🏀 ratio.

Reduce the fraction to 1/X. 12/37 = 1/3.08 (you divide 🏀 both sides by the left-hand side number, which in this example is 12 ) Take 1 away from X. 3.08 🏀 - 1 = 2.08 Ratio = 2.08 to 1

Divide the left side by the right side. 🏀 4 ÷ 37 = 0.1081 Multiply by 100. 0.1081 x 100 = 10.81% Percentage = 10.81%

The 🏀 result of the next spin is never influenced by the result of previous spins.

The probability of the result 🏀 being red on one spin of the wheel is 48.6%. That's easy enough.

Now, what if I told you that over 🏀 the last 10 spins, the result had been black each time. What do you think the probability of the result 🏀 being red on the next spin would be? Higher than 48.6%?

The roulette wheel 🏀 doesn't think "I've only delivered black results over the last 10 spins, I better increase the probability of the next 🏀 result being red to even things up". Unfortunately, roulette wheels are not that thoughtful.

If you had just sat down at 🏀 the roulette table and didn't know that the last 10 spins were black, you wouldn't have a hard time agreeing 🏀 that the probability of seeing a red on the next spin is 48.6%. Yet if you are aware of recent 🏀 results, you're tempted to let it affect your judgment.

Each and every result is independent of the last, so don't expect 🏀 the results of future spins to be affected by the results you've seen over previous spins. If you can learn 🏀 to appreciate this fact, you will save yourself from some disappointment (and frustration) in the future.

Believing that a certain result 🏀 is "due" because of past results is known as the gambler's fallacy.

In the graph of the 🏀 probability of seeing the same color over multiple spins of the wheel, it shows that the probability of the result 🏀 being the same color halves from one spin to the next.

However, this is only if you're looking at the entire 🏀 set of trials/spins from the start.

If the last spin was red, the chances of the next spin being red are 🏀 still 48.6% — they do not drop to 23.7%. On the other hand, if you hadn't spun the wheel to 🏀 see the first red result and wanted to know the probability of seeing red over the next 2 spins (and 🏀 not just on the next 1 spin), the probability would be 23.7%.

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