Roulette is one of the easiest games to play and understand in
the casino. As usual the easier a game is to understand the greater
the house edge, and roulette is no exception. If you are looking
for a easy to understand and slow paced table game, and are willing
to sacrifice on the house edge, then you may like roulette. If
you want something more stimulating or with a decent return I would
suggest looking at other games.
One difference between roulette and all other table games is that
roulette chips have no value denomination printed on them. This
actually is the true definition of a chip, one which indicates
its value is technically called a check. The roulette table comes
with six to eight sets of different colored chips, each set consisting
of 300 chips. When a player buys-in they get their own color and
the value would be the buy-in divided by the number of chips received.
The dealer will place a token on top of the dealer's stack of that
color of chips to indicate the value.
United States Rules
A U.S. roulette wheel consists of 38 numbered slots: numbers 1
to 36, a zero, and a double zero. The betting layout consists of
every individual number as well as a host of "outside" or combinations
of numbers. After the players make their bets the dealer spins
the wheel and a ball and after several seconds the ball will land
in one of the numbered slots.
The following table displays the available bets, the payoff, and
the probability of winning under U.S. rules. All casinos in the
U.S. follow these rules except for in Atlantic City. The house
edge on all bets is 1/19, or 5.26%, except for one bet. The exception
is the 0-00-1-2-3 combination, which carries a house edge of 7.89%.
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United States Roulette Rules
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Bet
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Pays
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Probability
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Red
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1:1
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47.37%
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Black
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1:1
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47.37%
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Odd
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1:1
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47.37%
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Even
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1:1
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47.37%
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1 to 18
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1:1
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47.37%
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19 to 36
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1:1
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47.37%
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1 to 12
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2:1
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31.58%
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13 to 24
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2:1
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31.58%
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25 to 36
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2:1
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31.58%
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Any one number
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35:1
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2.63%
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Two number combination
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17:1
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5.26%
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Three number combination
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11:1
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7.89%
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Four number combination
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8:1
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10.53%
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Six number combination
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5:1
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15.79%
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0,00,1,2,3 combination
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6:1
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13.16%
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Single Zero Rules
A few places in the U.S. offer single zero roulette. This lowers
the edge on every bet is 1/37, or 2.70%. The lists below shows
some places that I have seen or heard have single zero roulette.
The minimums at the single zero wheels are usually higher than
the double zero wheels and are open fewer hours. Often the single
zero wheels are found in the high roller rooms.
Las Vegas
- The Tropicana
- The Monte Carlo
- The Stratosphere
- Mandalay Bay
- Venetian
- Aladdin
- Luxor
- Nevada Palace (ten cent minimum)
In addition the Bellagio and Mirage offer single
zero roulette with the Hamburg variation of the European half back
rule (see below). This means if the player makes an even money
bet and the ball lands in zero the player will only lose half.
This lowers the house edge to 1.35%. The Bellagio has one such
wheel with a $100 minimum. The Mirage has two with minimums of
$25 and $100.
Atlantic City
- Hilton
- Bally's Park Place
- Harrah's
- Caesars
- Sands
- Tropicana
- Showboat
- Taj Majal
- Trump Marina
All Other
- Grand, Tunica, Mississippi
Atlantic City Rules
In Atlantic City any all even money bets (red, black, odd, even,
1-18, 19-36) follow a variation of the European imprisonment rule
(see below). In the event the ball lands in 0 or 00 the player
will lose only half of any even money bet. This lowers the house
edge to 2.63% on these bets. This rule does not apply on single
zero wheels.
European Rules
European roulette is played on a single wheel and also features
a favorable "en prison" rule. Under this rule if the player makes
any even money bet (red, black, odd, even, 1-18, 19-36) and the
ball lands in zero the player either gets half the bet back or
it becomes inprisoned. If an imprisoned bet wins on the next spin
it is released and the player gets it back, without winnings. What
is subject to debate, or rule variation, is what happens to an
imprisoned bet if the ball lands in zero on the next spin. I have
heard of four different rule variations and each are explained
below.
- At a casino I visited in Hamburg half of even money bets are
returned if the ball lands in zero. This house edge is 1.3514%.
- At a casino I visited in Berlin even money bets became imprisoned
if the ball landed in zero. The bet was returned if it won on
the next spin. If a zero occured on the second spin the bet lost.
The rule card in Berlin said the player may request the croupier
to move the imprisoned bet from one even money bet to another.
This house edge is 1.3879%.
- According to the American Mensa Guide to Casino Gambling an
imprisoned bet remains imprisoned until a non-zero occurs. This
house edge is 1.3514%.
- According to a dealer from Holland who wrote me if two zeros
occurs in a row the bet becomes double imprisoned. In this case
two winning bets in a row must occur to release it. If a anything
else occurs, including more zeros, the bet is lost. This house
edge is 1.3706%. The dealer said that the player also has the
option to get half back immediately, which is the better option.
Number Placement
To the casual observer it would appear that the numbers on the
wheel are not organized and seem to be distributed randomly. The
only obvious patterns are that red and black numbers alternate
and that usually two odd numbers alternate with two even numbers.
However the distribution of numbers was carefully arranged so that
the sum of the numbers for any given section of the wheel would
be roughly equal to any other section of equal size. Most numbers
are part of a pair, with one number between them. These pairs add
to either 37 or 39.
Wheel Tracking
There are books out there that promise big riches by tracking
the outcomes on a roulette wheel over thousands of spins and then
examining the distribution to see if the wheel is biased toward
one side. I don't deny that this has been done in the past but
I doubt it is a practical way to beat the casinos today. There
are products the casinos can use today that track every spin and
on a periodic basis run the distribution through a statistical
test to check for bias. Although I am not an expert on the subject
I believe wheel tracking to be a waste of time today.
Betting Systems
Ugh. If you think you can beat roulette with a betting system
please read my section debunking
betting systems. If you don't believe what I say there here
is what the Encyclopedia Britanica says under the subject of roulette:
The oldest and most common betting
system is the Martingale or "doubling-up" system, in which bets
are doubled progressively. This probably dates back to the invention
of the Roulette wheel, but every day of the week some gambler
somewhere reinvents it, or some variation of it, and believes
he has something new. Over the years hundreds of "sure-fire" winning
systems have been dreamed up, but regardless of what system is
used, in the long run it cannot overcome the house's advantage
of the 0, or 0 and 00. This house advantage is the only system
that consistently wins in the long run.