Roulette Wheel 0 00
(a) In Las Vegas the roulette wheel has a 0 and a 00 and then the numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in one slot. When a player bets 1 dollar on a number, he receives 36 dollars if the ball stops on this number, for a net gain of 35 dollars; otherwise, he loses his dollar bet. Find the expected value for his winnings. (b) In a second version of. In American roulette, the wheel features a green 0 and 00, while the European version just has the single green 0. If you bet on 0 or 00 on an American wheel, and your bet hits, you'll get a payout. In American roulette, the wheel features a green 0 and 00, while the European version just has the single green 0. If you bet on 0 or 00 on an American wheel, and your bet hits, you'll get a.
Mechanical systems are systems which rely on the inherent flaws of a roulette wheel as a mechanical device or contiguous number spans across the wheel layout. This is a fundamental difference in strategy between the way that a table game and a computer generates random numbers.
The basic principle underlying mechanical betting systems is exploiting the flaw in the way that the machine generates the numbers. As opposed to an electronic random number generator where any number is theoretically independent of any other number, a wheel is constructed with numbers situated permanently adjacent to one another. Therefore the numbers are not completely independent to one another because if the ball is right on the edge of falling from one cup to another, the number those cups represents are fixed. This can be especially useful when using Table clocking to determine a biased wheel, but as technology is making finding a biased wheel very difficult, the underlying theory is still interesting to consider. These systems are generally reserved for the American tables because it’s next to impossible to create contiguous sets on the European layout. However the casinos have solved this problems and already have special announce bets that can make this process easier.
Problem 19 Easy Difficulty. An American roulette wheel has 38 slots; two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Find the probability that the ball lands in an odd-numbered slot.
If the ball is predestined to fall a certain region of the wheel (the 0 pocket for example), and you cover the four numbers to each side of the 0 {12,35,3,26,0,32,15,19,4}, as the ball jostles and bounces it is more likely to land in the pockets immediately next to the number than the other side of the wheel. However covering these numbers, with the same relative return, and without dropping a ton of chips is the challenge. Finding a betting system that most efficiently covers the numbers on the region of the board is the challenge to the mechanical system.
In this author’s opinion, this is the ONLY system worth exploring with real money in a casino – or buy a wheel and try it at home, but as of the time of this writing (2008) good professional 30” wheels cost around $4000, and a 27” around $2000. When one considers some systems can be explored with a bankroll of less than $100, it may be worth hitting a casino first.
What makes this most interesting is that mathematically the odds don’t change. Covering 24 numbers no matter where they are has the same probability as placing a bet which covers the numbers in sequence around the wheel. Perhaps it’s just a visceral reaction, but there have been many times where the ball seems to land in the pocket for the number which was bet only to have it slide one pocket over. I don’t know physics well enough to say if there is any reason why covering a region of numbers on a roulette wheel is more advantageous than not, but it just feels right. Besides the math has proved ineffectual.
There is only one book that I have been able to find which covers this in any great detail; Beating the Casinos at Their Own Game by Peter Svoboda ISBN 0-7570-0005-3. I make direct references to this source only because this particular section of this book is available on Google Books. This book also covers several other games in interesting ways and I highly recommend buying a copy or getting it from the interlibrary loan from your local library.
Mr. Svoboda goes into several systems and makes several interesting points, but one thing which he does not stress is that it is VITAL to find a roulette wheel with the exact same layout order as the one he uses in his book. It is possible that a wheel could look very similar but have a different order to their numbering which would require the player to analyze that particular arrangement and betting strategy. For instance I have seen some antique tables which have a reversed layout where the 2 is on the left of the 0 as opposed to the right, however everything else was in the same order so this may be a moot point.
The thing that I really like is that Mr. Svoboda also makes all of his systems mathematically related to winning percentages, and his strategies cover sectors of the wheel rather than sections of the layout. Additionally they fit within the constraints of the table limits imposed by most US casinos.
I’ll go into this more later.
Standing Systems[edit]
Standing systems (for lack of a better term) are those where the same bet is played on the same locations irregardless of previous wins or losses. This is opposed to progressive systems as described in the next section.
System 1[edit]
On the American layout, the best known contiguous bet combination is based on the center column. That placement covers the span from 23 to 5 (clockwise) with five gaps {0, 7, 9, 23, and 30}, and it only includes two numbers {8 and 29} which are outside the span. This covers a span width of 15 numbers which is almost exactly two fifths of the wheel.
This bet can be played two different ways.
- Place 4 chips on the center column and one chip on each of the numbers in set {0, 7, 9, 28, and 30}
- Return: If the numbers {2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35} hit, then the return is: (4*2)-5=3. If the numbers {0, 7, 9, 28, 30}hit, then the return is: (1*35)-(4+4)=27. If the numbers {00, 1, 3, 4, 6, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 31, 33, 34, 36} hit, then the return is -9.
- Place 1 chip each on two street bets {7, 8, 9} and {28, 29, 30}, and one chip on 0, and two chips on the center column.
- Return: If the numbers {2, 5, 11, 14, 17, 20, 23, 26, 32, 35} hit, then the return is: (2*2)-3=1. If the number {0} hits, then the return is (1*35)-4=31. If the numbers {7, 9}or {28, 30} hit, then the return is: (1*11)-4=7. If the numbers {8 or 29} hit, then the return is ((2*2)+(1*11))-2=13. If the numbers {00, 1, 3, 4, 6, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 31, 33, 34, 36} hit, then the return is -5.
System 2[edit]
This combines two spans to cover 23 of the 38 numbers on the wheel.
- Place 1 chip on each of the 4 street bets {1, 2, 3}, {13, 14, 15}, {22, 23, 24}, and {34, 35, 36}. This is the first span. Place 1 chip on each of the two street bets {4, 5, 6} and {31, 32, 33}, and place 1 chip on each of the two splits {16, 19} and {18, 21}.
- Return: If the numbers {1, 2, 3, 4, 5, 6, 13, 14, 15, 22, 23, 24, 31, 32, 33, 34, 35, 36} hit, then the return is: (1*11)-7=4. If the number {16, 19, 18, 21} hit, then the return is: (1*17)-7=10. If the numbers {0, 00, 7, 8, 9, 10, 11, 12, 17, 20, 25, 26, 27, 28, 29, 30} hit, the return is -8.
Progressive Systems[edit]
Progressive systems change depending on the previous win/loss history. These systems are based upon the mechanical layout as opposed to statistical systems as described in this chapter.
System 1[edit]
Roulette Zero
The number zero. Is it even a number? Or is it a non-number?
Well, we always talk about the number zero, so let´s say for the sake of argument that it is a number. If you halve something, and then halve it again, and then halve it again, you are going to have a smaller and smaller number. If you did this an infinite number of times, you´d arrive at zero, but of course that isn´t going to happen in the real world. And that´s the thing about zero, much of what we talk about when we talk about the number zero is theoretical- it´s all in the mind.
But back to roulette. The zero is the only green number on the roulette wheel, and it marks the difference between a European Roulette wheel and an American Roulette wheel, as a European wheel has one zero pocket and an American wheel has two zero pockets (the 0 and the 00).
Play the Zero Bet at Luxury Casino
Play American Double Zero or European Single Zero.
On a European Wheel, the 0 sits between black 26 and the red number 32. Over in Vegas on the American wheels, the 0 is located between black 2 and black 26 and the 00 has red 1 and red 27 as neighbours.
How to Play the Number Zero in Roulette
You can bet on the number zero in the same way as you can bet on any individual number on the roulette wheel- just place a single number bet on the number and you´ll get a 35:1 payout if it comes in (plus your original bet back).
The zero is often seen as an unlucky number (well it is called the zero)- especially in roulette, as many bets will not pay out if the ball lands in this pocket, such as the outside even money bets, the column bets and the dozens bet and so on.
In a way, that´s a little bit unfair on the zero, as if you bet on the red, you´ll lose if a black number comes up OR the zero comes up, but players tend to feel unlucky when the zero lands and they are playing the even money bets. There are ways of insuring yourself against this happening. You could play a roulette variant like Next Gen European Roulette that plays La Partage. This is a rule that forces the casino to return half of your even money bet if the ball lands in zero. It´s a good one to look out for, as it will reduce the house edge down to 1.3% on these bets. You may also find this rule played on many French Roulette games.
Roulette Zero Tips
The zero is what gives roulette its House Edge. If you play an Outside Bet like Evens or odds, for example, you have less than a 50:50 chance because if the ball happens to land in the zero pocket (or pockets in the case of American variants), you lose the bet. You can mitigate against this by playing French Roulette, or “Money Back” games that play La Partage rule. You will get half of your bet back in this case- the house edge is half of that you will get in standard European Games.
Play “Money Back” Roulette at Paddy PowerYou could also lay a small side bet on the zero to cover yourself for those times when the 0 hits. We´d advise against it- it´s better just to run the gauntlet and trust your luck.
The only rule that we suggest you stick to with the zero, is to only play on single zero roulette wheels. Avoid the double zero roulette wheels (the American ones). If you think it’s bad news when the ball lands in the single zero, how bad are you going to feel when it lands in the double zero? There’s a reason that European Roulette is more popular online than the American game. There’s more choice and the odds are better on the former.
A popular way of covering the zero is with the Voisins du Zero bet. This covers the numbers from 22 to 25 including the zero. These are the Neighbours or Voisins of zero.
If you are playing American Roulette (I thought we told you to avoid it!), you could also play the worst bet in roulette, which covers 0,00, 1, 2 and 3. But why would you? The odds are the worst in roulette.
Another neat way of covering the zero on a European table is with a Jeu Zero bet, which is kind of like a mini Voisins du Zero bet. It just covers 6 neighbours of zero with 4 chips.
Let´s Talk About the Zero
Zero is one of those numbers that is known by a number of names including nothing, none, nought, nil, zip, zilch and nada. In cricket, if you are bowled for a duck you scored zero runs and if you are 40 love down in a tennis game you haven’t scored any points.
The zero hasn´t always been recognised- the Ancient Greeks had no word for it and were sceptical as to whether it was a number at all. How can something be something if it is nothing? You can see their point.
The idea of zero is thought to have been fully developed on the Indian sub-continet where it appeared around A.D. 458 in mathematical equations that were spelled out or spoken in poetry or chants. In 628, a Hindu mathematician called Brahmagupta came up with a symbol for zero — a dot underneath numbers.
It was through the Arabic world that we came to use the zero as a placeholder and number in calculations. The Hindu–Arabic base 10 system for numbers that we use to this day reached Europe in the 11th century, thanks to the Moors in Spain.
Zero is an even number as you can divide it by 2 without getting a remainder and is the smallest no-negative integer.
The number zero really started to come into its own with the development of computers, as it represents the “off state” in a binary system, where 1 is the “on state”.
Summary
So is zero a number? Can you have a number that’s nothing? That´s getting into philosophy, so we are going to say that yes, 0 is a number, at least in roulette. It has its own pocket and space on the betting layout, and there are even 2 of them on some wheels.
Just remember, the odds of the ball landing in the zero are exactly the same as the odds of the ball landing in any other number!
Roulette Wheel 0 00 18
Play the Zero bet at Royal Vegas Casino
Stick to European Wheels with one zero. The odds are better.
FAQs
Roulette Wheel 0 00 06
- Is there such a game as Zero Roulette? Betfair used to offer a game called Zero Roulette with a wheel that was just filled with numbers from 1 to 36. They discontinued it, probably because the house edge was zero (that extra pocket gives the house its advantage). At the time it was probably used as a promotional tool to get players to try the casino (Betfair is still well worth a visit for roulette by the way).
It’s a shame they discontinued it.