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Roulette Betting Tips. A winning red or black bet pays even money -- the player keeps the original. Split: This is a wager on two numbers, and it pays 17-1.

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The ball pockets are alternately red and black on the roulette wheel, with the. stories about the origin of roulette include its invention by the 17th-century French ...

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17 Facts about Roulette that Will Surprise Your Friends. By Randy.. You're playing roulette, and the ball has landed on black 5 times in a row.

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Red and Black color strategy on roulette.
What I am trying to do: In American roulette, the payout for winning on. This means that if you bet $1 and it lands on green, you get $17 as a prize.. of the ball landing in a green pocket p_green black+red) ...

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So I got familiar with the roulette dealer, trying to get on his good side (let's call him John). I said to him, “What's your favorite number?” He replied, “17-black.

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Favourite and Least Favourite Numbers in Roulette – What numbers to people love. The number 17 is the number in the centre of the roulette board and is also.

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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 black ou roulette />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 article by Frank Scoblete entitled.

In that article, Scoblete recommends taking a count of each outcome for 3,700 spins in single-zero roulette and 3,800 spins in roulette 17 black roulette in the hunt for "hot magic trick roulette russian />Before going further, let me say that I strongly believe modern roulette wheels made by top brands like 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.

I ran a simulation of over 1.

Hottest Number in 3,800 Spins of Double-Zero Roulette As a former actuary, I roulette 17 black 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 https://tayorindustry.com/roulette/videos-de-rihanna-russian-roulette-con-letra.html />Statistic Value Mean 122.

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.

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.

Statistic Value Mean 121.

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.

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.

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.

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.

In a simulation of over 80 billion spins, the most frequent number, in 300-spin experiments, appeared most frequently roulette 17 black 14 times with a probability of 27.

The most likely total of the second, third, and fourth most frequent numbers was 13, 12, and 12 times respectively, with probabilities of 37.

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.

Observations Probability Most Frequent Probability Second Most Frequent Probability Third Most Frequent Probability Fourth Most Frequent 25 or More 0.

Order Mean Median Mode First 14.

Observations Probability Least Frequent Probability Second Least Frequent Probability Third Least Frequent Probability Fourth Least Frequent 0 0.

Order Mean Median Mode Least 2.

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.

Observations Probability Most Frequent Probability Second Most Frequent Probability Third Most Frequent Probability Fourth Most Frequent 25 or More 0.

Order Mean Median Mode First 14.

For example, the probability the third coolest numbers will be https://tayorindustry.com/roulette/how-to-win-on-coral-roulette-machines.html five times is 0.

Observations Probability Least Frequent Probability Second Least Frequent Probability Third Least Frequent Probability Fourth Least Frequent 0 0.

Order Mean Median Mode Least 2.

To put it in other words, it is natural that some numbers will be "hot" and some "cool.

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 in their rule 6.

Before getting to that, let me preface with a quote from rule 6.

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.

roulette 18 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 roulette 17 black would lower themselves to this kind of rogue rule.

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Best tips to make your money last on the roulette tables, safe your profits, win big and. placing your wager on an even-odds payout like Black or Red, High or Low,. The best payouts are on single-number bets (35:1), two-number bets (17:1) ...

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Also numbers 15,4,17,29,31,35,0,00,11, the 0 and 00 are to be considered Black and also Odd numbers, since the majority of the preceding Band is Black and ...

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Life is full of uncertainty.

Sometimes it can be impossible to say what will happen from one minute to the next.

Probability lets you predict the future by assessing how likely outcomes are, and knowing what could happen helps you make informed decisions.

All sorts of games are offered, from roulette to slot machines, poker to blackjack.

It just so happens that that roulette payout odds be is your lucky day.

Want to give it a try?

Go on—you know you want to.

Roll up for roulette!

The croupier spins a roulette wheel, then spins a ball in the opposite direction, and you place bets on where you think the ball will land.

The main pockets are numbered from 1 to 36, and each pocket is colored either red or black.

There are two extra pockets numbered 0 and 00.

These pockets are both green.

You can place all sorts of bets with roulette.

For instance, you can bet on a particular number, whether that number is odd or even, or the color of the pocket.

One other thing to remember: if the ball lands on a green pocket, you lose.

Roulette boards make it easier to keep track of which numbers and colors go together.

You can use it to help work out the probabilities in this chapter.

Place your bets now!

Have you cut out your roulette board?

The game is just beginning.

Where do you think the ball will land?

Maybe some bets are more likely than others.

It sounds like we need to look at some probabilities.

Brain Power What things do you need to think about before placing any roulette bets?

Given the choice, what sort of bet would you make?

What are the chances?

Probability is a way of measuring the chance of something happening.

In stats-speak, an event is any occurrence that has a probability attached to it—in other words, an event is any outcome where you can say how likely it is to occur.

Probability is measured on a scale of idea real casino roulette game Amazingly! to 1.

If an event is impossible, it has a probability of 0.

Here are some examples on a probability scale.

Vital Statistics: Event An outcome or occurrence that has a probability assigned to it Can you see how probability relates to roulette?

If you know how likely the ball is to land on a particular number or color, you have some way of judging whether or not you should place a particular bet.

Look at your roulette board.

How many pockets are there for the ball to land in?

How many pockets are there for the number 7?

To work out the probability of getting a 7, take your answer to question 2 and divide it by your answer to question 1.

What do you get?

Mark the probability on the scale below.

Sharpen your pencil Solution You had to work out a probability for roulette, the probability of the ball landing on 7.

Here are all the possible outcomes from spinning the roulette wheel.

To find the probability of winning, we take the number of ways of winning the bet and divide by the number of possible outcomes like this: S is known as the possibility space, or sample space.

Possible events are all subsets of S.

One way of doing so is to draw a box representing the possibility space S, and then draw circles for each relevant event.

This sort of diagram is known as a Venn diagram.

Instead of numbers, you have the option of using the actual probabilities of each event in the diagram.

It all depends on what kind of information you need to help you solve the problem.

A I is known as the complementary event of A.

This means that if you add P A and P A I together, you get 1.

For each event below, write down the probability of a successful outcome.

For each event you should red strategy roulette and black written down the probability of a successful outcome.

Therefore, the probability is 0.

Q: Q: Why do I need to know about probability?

I thought I was learning about statistics.

A lot of statistics has its origins in probability theory, so knowing probability will take your statistics skills to the next level.

Probability theory can help you make predictions about your data and see patterns.

It can help you make sense of apparent randomness.

Q: Q: Are probabilities written as fractions, decimals, or percentages?

A: A: They can be written as any of these.

Is there a connection?

A: A: There certainly is.

In set theory, the possibility space is equivalent to the set of all possible outcomes, and a possible event forms a subset of this.

Q: Q: Do I always have to draw a Venn diagram?

Q: Q: Can anything be in both events A and A I?

The two events are mutually exclusive, so no elements are shared between them.

A game of roulette is just about to begin.

Look at the events on the previous page.

And the winning number is.

Even though our most likely probability was that the ball would land in a black pocket, it actually landed in the green 0 pocket.

You lose some of your chips.

The important thing to remember is that a probability indicates a long-term trend only.

To work out the probability, all we have to do is count how many pockets are red or black, then divide by the number of pockets.

Take a look at your roulette board.

There are only three colors for the ball to land on: red, black, or green.

Calculate the probability of getting a black or a red by counting how many pockets are black or red and dividing by the number of pockets.

Calculate the probability of getting a black or a red by counting how many pockets are black or red and dividing by the number of pockets.

If we know P Black and P Redwe can find the probability of getting a black or red by adding these two probabilities roulette 17 black />In this case, adding the probabilities gives exactly the same result as counting all the red or black pockets and dividing by 38.

Vital Statistics: A I A I is the complementary event of A.

Which way is best?

A: A: It all depends on your particular situation and what information you are given.

Suppose the only information you had about the roulette wheel was the probability of getting a green.

It can still be useful to double-check your results, though.

Q: Q: If some events are so unlikely to happen, why do people bet on them?

A: A: A lot depends on the sort of return that is being offered.

In general, the less likely the event is to occur, the higher the payoff when it happens.

People are tempted to make bets where the return is high, even though the chances of them winning is negligible.

Q: Q: Does adding probabilities together like that always work?

A: A: Think of this as a special case where it does.

We might not be read article to count on being able to do this probability calculation in quite the same way as the previous one.

Try the exercise on the next page, and see what happens.

What do you get if you add these two probabilities together?

Finally, use your roulette board to count all the holes that are either black or even, then divide by the total number of holes.

What do you get?

What do you get if you add these two probabilities together?

Finally, use your roulette board to count all the holes that are either black or even, then divide by the total number of holes.

What do you get?

If two events are mutually exclusive, only one of the two can occur.

What about the black and even events?

The two events intersect.

Problems at the intersection Calculating the probability of getting a black or even went wrong because we included black and even pockets twice.

First of all, we found the probability of getting a black pocket and the probability of getting an even number.

When we added the two probabilities together, we counted the probability of getting a black and even pocket twice.

To get the correct answer, we need to subtract the probability of getting both black and even.

It includes all of the elements in A and also those in B.

Between them, they make up the whole of S.

They link all possibilities.

Mutually exclusive events have no elements in common with each other.

Exercise 50 sports enthusiasts at the Head First Health Club are asked whether they play baseball, football, or basketball.

Draw a Venn diagram for this probability space.

How many enthusiasts play baseball in total?

How many play basketball?

How many play football?

Which sports are exhaustive fill up the possibility space?

Draw a Venn diagram for this probability space.

How many enthusiasts play baseball in total?

How many play basketball?

How many play football?

Which sports are exhaustive fill up the possibility space?

By adding up the values in each circle in the Venn diagram, we can determine that there are 16 total baseball players, 28 total basketball players, and 16 total football players.

The baseball and football events are mutually exclusive.

A and A I can have no common elements, so they are mutually exclusive.

A: A: Yes it is.

It can sometimes be useful to think of different ways of forming the same probability, though.

Q: Q: Is there a limit on how many events can intersect?

We know that the probability of the ball landing on black or even is 0.

The croupier decides to take pity on us and offers a little inside information.

Should we take this bet?

How does the probability of getting even given that we https://tayorindustry.com/roulette/slotmaschinen.html the ball landed in a black pocket compare to our last bet that the ball would land on black or even.

Conditions apply The croupier says the ball vegas star models landed in a black pocket.

In other words, we want to find out how many pockets are even out of all the black ones.

Out of the 18 black pockets, 10 of them are even, so It turns out that even with some inside information, our odds are actually lower than before.

The probability of even given black is actually less than the probability of black or even.

However, a probability of 0.

Find conditional probabilities So how can we generalize this sort of problem?

First of all, we need some more notation to represent conditional probabilities, which measure the probability of one event occurring relative to another occurring.

The second set of branches shows the probability of outcomes given the outcome of the branch it is linked to.

It shows two levels of events: A and A I and B and B I.

A I refers to every possibility not covered by A, and B I refers to every possibility not covered by B.

You can find probabilities involving intersections by multiplying the probabilities of linked branches together.

You can find this by multiplying P B and P A B together.

In other words, you multiply the probability on the first level B branch with the probability on the second level A branch.

Probability trees can be time-consuming to draw, but they offer you a way of visualizing conditional probabilities.

They drew up a probability tree to show the probabilities, but in a sudden gust of wind, they all fell off.

Your task is to pin the probabilities back on the tree.

Here are some clues to help you.

Handy hints for working with trees 1.

Work out the levels Try and work out the different levels of probability that you need.

Remember that each set video game branches sums to 1 If you add together the probabilities for all of the branches that fork off from a common point, the sum should equal 1.

They drew up a probability tree to show the probabilities, but in a sudden gust of wind they all fell off.

Your task is to pin the probabilities back on the tree.

Here are some clues to help you.

Note Hint: How many ways are there of getting coffee?

You can get coffee with roulette 17 black without donuts.

With this probability, you can make no assumptions about whether one of the events has already occurred.

You have to find the probability of both events happening without making any assumptions.

P A B is the probability of event A given event B.

In other words, you make the assumption that event B has occurred, and you work out the probability of getting A under this assumption.

Q: Q: So does that mean that P A B is just the same as P A?

A: A: No, they refer to different probabilities.

When you calculate P A Byou have to assume that event B has already happened.

When you work out P Ayou can make no such assumption.

P A B is the probability of getting event A given event B has already happened.

P B A is the probability of getting event B given event A occurred.

Q: Q: Are probability trees better than Congratulate, simulator roulette consider diagrams?

A: A: Both diagrams give you a way of visualizing probabilities, and both have their uses.

It all depends what type of problem you need to solve.

Q: Q: Is there a limit to how many sets of branches you can have on a probability tree?

In practice you may find that a very large probability tree can become unwieldy, but you may still find it easier to draw a large probability tree than work through complex probabilities without it.

Q: Q: If A and B are mutually exclusive, what is P A B?

Unfortunately, the ball landed in pocket 17, so you lose a few more chips.

Maybe we can win some chips back with another bet.

This time, the croupier says that the ball has landed in an even pocket.

We can reuse the probability calculations we already did.

Our previous task was to figure out P Even Blackand we can use the probabilities we found solving that problem to calculate P Black Even.

All we need is some mechanism for finding these probabilities.

Sharpen your pencil Take a look at the probability tree on the previous page.

Sharpen your pencil Solution Take a look at the probability tree opposite.

This gives us So where does this get us?

We want to find the probability P Black Even.

We can do this by evaluating Brain Power Take another look at the probability tree in.

How do you think we can use it to find P Even?

Step 2: Finding P Even The next step is to find the probability of the ball landing in an even pocket, P Even.

We can find this by considering all the ways in which this could happen.

These are all the possible ways in which a ball can land in an even pocket.

In other words, we add the probability of the pocket being both black and even to the probability of it being both red and even.

The relevant branches are highlighted on the probability tree.

Step 3: Finding P Black l Even Can you remember our original problem?

We wanted to find P Black Even where Putting these together means that we can calculate P Black Even using probabilities from the probability tree This means that we now have a way of finding new conditional probabilities using probabilities we already know—something that can help with more complicated probability problems.

These results can be generalized to other problems Imagine you have a probability tree showing events A and B like this, and assume you know the probability on each of the branches.

Now imagine you want to find P A Band the information shown on the branches above is all the information that you have.

How can you use the probabilities you have to work out P A B?

Use the Law of Total Probability to find P B To find P Bwe use the same process that we used to find P Even earlier; we need to add together the probabilities of all the different ways in which the event we want can possibly happen.

There are two ways in which even B can occur: either with event A, or without it.

We can rewrite this in terms of the probabilities we already know from the probability tree.

What we need is a general expression for finding conditional probabilities that are the reverse of what we already know, in other words P A B.

And even though the formula is tricky, visualizing the problem can help.

Long Exercise The Manic Mango games company is testing two brand-new games.

Your first task is to fill in the probability tree for this scenario.

Manic Mango selects one of the volunteers at random to ask if she enjoyed playing the game, and she says she did.

Long Exercise Roulette 17 black The Manic Mango games company is testing two brand-new games.

Your first task is to fill in the probability tree for this scenario.

Manic Mango selects one of the volunteers at random to ask if she enjoyed playing the game, and she says she did.

Q: Q: Do I have to draw a probability tree?

It will give you the same result, and it can keep you from losing track of which probability belongs to which event.

Did we make a mistake?

This means that P Even Green is 0; therefore, it has no effect on the calculation.

Is that always the case?

They are two separate probabilities, and making this sort of assumption could actually cost you valuable points in a statistics exam.

For example, it can be used in computing as a way of filtering emails and detecting which ones are likely to be junk.

We have a for mini roulette paddy power final />If you bet that the ball lands in a black pocket twice in a row, you could win back all of your chips.

Notice that the probabilities for landing on two black pockets in a row are a bit different than they were in our probability tree inwhere we were trying to calculate the likelihood of getting an even pocket given that we knew the pocket was black.

We already know that the ball has landed roulette 17 black a black pocket, so we use this knowledge to work out the probability.

We look at how many of the pockets are even out of all the black pockets.

In other words, the knowledge we have that the pocket is black changes the probability.

These two events are said to be dependent.

In general terms, events A and B are said to be dependent if P A B is different from P A.

Brain Power Look at the probability tree on the previous page again.

What do you notice about the sets of branches?

Are the events for getting a black in the first game and getting a black in the second game dependent?

If events russian roulette with a glock not affect each other, they are independent Not all events are dependent.

Sometimes events remain completely unaffected by each other, and the probability of an event occurring remains the same irrespective of whether the other event happens or not.

As an example, take a look at the probabilities of P Black and P Black Black.

What do you notice?

The events are independent.

These two probabilities have the same value.

In other words, the event of getting a black pocket in this game has no bearing on the probability of getting a black pocket in the next game.

These events are independent.

If one event occurs, the probability of the other occurring remains exactly the same.

If events A and B are independent, then the probability of event A is unaffected by event B.

We can also use this as a test for independence.

We already know that Watch it!

If A and B are mutually exclusive, then if event A occurs, event B cannot.

In other words, if two events are independent, then you can work out the probability of getting both events A and B by multiplying their individual probabilities together.

A: A: Imagine you have two events, A and B.

If A and B are mutually exclusive, then if event A happens, B cannot.

Also, if event B happens, then A cannot.

If A and B are independent, then the outcome of A has no effect on the outcome of B, and the outcome of B has no effect on the outcome of A.

Their respective outcomes have no effect on each other.

Q: Q: Do both events have to be independent?

Can one event be independent and the other dependent?

Q: Q: Are all games on a roulette wheel independent?

A: A: Yes, they are.

Separate spins of the roulette wheel do not influence each other.

In each game, the probabilities of the ball landing on a red, black, or green remain the same.

How do I use a Venn diagram to tell if events are independent?

Venn diagrams are great if you need to examine intersections and show mutually exclusive events.

As a result, it is extremely popular with both young and old.

The Health Club is wondering how best to market its new yoga class, and the Head of Marketing wonders if someone who goes swimming is more likely to go to a yoga class.

Out of these 96 people, 32 go to yoga and 72 go swimming.

Are the yoga and swimming classes dependent or independent?

Dependent: Independent: Independent, glad you could show up.

Well, I hear you keep getting fledgling statisticians into trouble.

You want to work out the probability of getting two independent events?

Just multiply the probabilities for the two events together and job done.

With independent events, roulette expert just turn out the same.

I think that people need to think of me first instead of you; that would sort out all of these problems.

By really thinking through whether events are dependent or not.

Let me give you an example.

Suppose you have a deck of 52 cards, and thirteen of them are diamonds.

What would be the probability of that happening?

What if you pick out a second card?

The events are dependent.

You can no longer say there are 13 diamonds in a pack of 52 cards.

Not fair, I assumed you put the first card back!

That would have meant the probability of getting a diamond would have been the same as before, and I would have been right.

The events would have been independent.

When people think about you first, it leads them towards making all sorts of inappropriate assumptions.

Think nothing of it.

Just make sure you think things through a bit more carefully next time.

Five Minute Mystery Solved Solved: The Case of the Two Classes Are the yoga and swimming classes dependent or independent?

Here are a bunch of situations see more events.

Your task is to say which of these are dependent, and which are independent.

Dependent Independent Throwing a coin and getting heads twice in a row.

Removing socks from a drawer until you find a matching pair.

Choosing chocolates at random from a box and picking dark chocolates twice in a row.

Choosing a card from a deck of cards, and then choosing another one.

Choosing a card from a deck of cards, putting the card back in the deck, and then choosing another one.

Solution Here are a bunch of situations and events.

Your task was to say which of these are dependent, and which are independent.

Removing socks from a drawer until you find a matching pair.

Note When you remove one sock, there are fewer socks to choose from the next time, and this affects the probability.

Choosing chocolates at random from a box and picking dark chocolates twice in a row.

Choosing a card from a deck of cards, and then choosing another one.

Choosing a card from a deck of cards, putting the card back in the deck, and then choosing another one.

On both spins of the wheel, the ball landed on 30, a red square, and you doubled your winnings.

Besides the chances of winning, you also need to know how much you stand to win in order to decide if the bet is worth the risk.

Betting on an event that has a very low probability may be worth it if the payoff is high enough to compensate you for the risk.

Fred decides to throw a coin.

Exercise Here are some more roulette probabilities for you to work out.

The probability of the ball having landed on the number 17 given the pocket is black.

The probability of the ball landing on pocket number 22 twice in a row.

The probability of the ball landing in pockets 1, 2, 3, or 4.

Fred decides to throw a coin.

If all friends meet, it must be at the Italian restaurant.

Fred goes to the Diner while George goes to Italian restaurant, or George goes to the Diner and Fred gets Italian.

There are 18 black pockets, and one of them is numbered 17.

As these events are independent, this is equal to P 22 x P 22.

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Check out our quick guide to roulette statistics—including the basics of online. -Numbers 11-18 and 29-36, odds are black and reds are even. Odds: 5.41% for Euro roulette and 5.26% for American roulette; Payout: 17:1.

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The Wizard takes on the topic of "hot numbers" in roulette.. 17, 0.060526, 0.003263, 0.000060, 0.000001.. strategies, card counting as well as low risk betting in roulette such as betting on red/black in equal amounts.

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