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Casino Spider
- Rules and History - Roulette! |
French and
American Roulette
History and Rules
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Roulette
is a casino and
gambling game
(Roulette is a
French word meaning
"small wheel"). A
croupier turns a
round roulette wheel
which has 37 or 38
separately numbered
pockets in which a
ball must land. The
main pockets are
numbered from 1 to
36 and alternate
between red and
black, with number 1
being red. There is
also a green pocket
numbered 0. In most
roulette wheels in
the United States
but not in Europe,
there is a second
zero compartment
marked 00, also
colored green. If a
player bets on a
single number and
wins, the payout is
35 to 1. The bet
itself is returned,
so in total it is
multiplied by 36.
(In a lottery one
would say 'the prize
is 36 times the cost
of the ticket',
because in a lottery
the cost of the
ticket is not
returned
additionally.)
A
player can bet on
numbers,
combinations,
ranges, odds/evens,
and colors. |
Content
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French
Roulette |
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American
Roulette |
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The
first form of
roulette was first
devised in 17th
century France, by
the mathematician
Blaise Pascal, who
was supposedly
inspired by his
fascination with
perpetual motion
devices. In 1842,
fellow Frenchmen
François and Louis
Blanc added the "0"
to the roulette
wheel in order to
increase house odds.
Roulette was brought
into the U.S. in the
early 1800s, and
again in order to
increase house odds
a second zero, "00",
was introduced -
although in some
forms of early
American roulette
the double-zero was
replaced by an
American Eagle. In
the 1800s, roulette
spread all over both
Europe and the U.S.,
becoming one of the
most famous and most
popular casino
games. Some call
roulette the "King
of Casino Games",
probably because it
was associated with
the glamour of the
casinos in Monte
Carlo. (Francóis
Blanc actually
established the
first casinos
there).
A
legend tells about
François Blanc, who
supposedly bargained
with the devil to
obtain the secrets
of roulette. The
legend is based on
the fact that if you
add up all the
numbers on the
roulette wheel (from
1 to 36), the
resulting total is
"666", which is the
"Number of the
Beast" and
represents the
devil. |
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There
are two types of
roulette, American
roulette and
European roulette.
The difference
between the two
types is the number
of 0's on the wheel.
American roulette
wheels have two
"0's", zero and
double-zero, which
increases the house
advantage to 5.3%.
In European roulette
there is only one
zero, giving the
house an advantage
of 2.7%.
The
two versions also
use chips
differently.
American roulette
uses so-called
"non-value" chips,
meaning that all
chips belonging to
the same player are
of the same value
determined at the
time of the
purchase, and the
player cashes in the
chips at the
roulette table.
European roulette
uses standard casino
chips of differing
values as bets,
which can make the
game more confusing
for both the
croupier and the
players.
A
traditional European
roulette table is
also much larger
than an American
roulette table, and
the croupier uses a
long tool called a
rake to clear
out the chips and to
distribute winnings.
In American roulette
the croupier
collects and
distributes chips by
hand.
There
is actually a third
type of roulette
wheel in use. It is
a hybrid of the two
versions described
above, and is the
only kind of wheel
that is legal in the
United Kingdom. This
wheel has an
American (English
language) layout and
a single zero. When
a single-zero wheel
is used in the
United States, it is
almost always this
type. |
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0 |
↔ |
00 |
1-
18 |
1st
12 |
1 |
2 |
3 |
← |
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4 |
5 |
6 |
← |
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odd |
7 |
8 |
9 |
← |
|
10 |
11 |
12 |
← |
|
red |
2nd
12 |
13 |
14 |
15 |
← |
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16 |
17 |
18 |
← |
|
blk |
19 |
20 |
21 |
← |
|
22 |
23 |
24 |
← |
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even |
3rd
12 |
25 |
26 |
27 |
← |
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28 |
29 |
30 |
← |
19-
36 |
31 |
32 |
33 |
← |
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34 |
35 |
36 |
← |
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↑ |
↑ |
↑ |
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(in addition to the
mentioned payout the
bet is returned)
|
Bet name |
Winning
spaces |
Payout |
Odds of
winning
(against) |
Expected
value
(on a $1
bet) |
|
0 |
0 |
35 to 1 |
37 to 1 |
-$0.053 |
|
00 |
00 |
35 to 1 |
37 to 1 |
-$0.053 |
|
1 |
1 |
35 to 1 |
37 to 1 |
-$0.053 |
|
2 |
2 |
35 to 1 |
37 to 1 |
-$0.053 |
|
... |
... |
... |
... |
... |
|
36 |
36 |
35 to 1 |
37 to 1 |
-$0.053 |
|
Row 00 |
0, 00 |
17 to 1 |
18 to 1 |
-$0.053 |
|
Row 3 |
1, 2, 3 |
11 to 1 |
11.667 to 1 |
-$0.053 |
|
Row 6 |
4, 5, 6 |
11 to 1 |
11.667 to 1 |
-$0.053 |
|
Row 9 |
7, 8, 9 |
11 to 1 |
11.667 to 1 |
-$0.053 |
|
... |
... |
... |
... |
... |
|
Row 36 |
34, 35, 36 |
11 to 1 |
11.667 to 1 |
-$0.053 |
|
Column 1 |
1, 4, 7,
..., 34 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
Column 2 |
2, 5, 8,
..., 35 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
Column 3 |
3, 6, 9,
..., 36 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
First 12 |
1, 2, 3,
..., 12 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
Middle 12 |
13, 14, 15,
..., 24 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
Last 12 |
25, 26, 27,
..., 36 |
2 to 1 |
2.167 to 1 |
-$0.053 |
|
Odd |
1, 3, 5,
..., 35 |
1 to 1 |
1.111 to 1 |
-$0.053 |
|
Even |
2, 4, 6,
..., 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
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Red |
1, 3, 5, 7,
9, 12,
14, 16, 18,
19, 21, 23,
25, 27, 30,
32, 34, 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
|
Black |
2, 4, 6, 8,
10, 11,
13, 15, 17,
20, 22, 24,
26, 28, 29,
31, 33, 35 |
1 to 1 |
1.111 to 1 |
-$0.053 |
|
1 to 18 |
1, 2, 3,
..., 18 |
1 to 1 |
1.111 to 1 |
-$0.053 |
|
19 to 36 |
19, 20, 21,
..., 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
|
five number
bet |
0, 00, 1, 2,
3 |
6 to 1 |
6.6 to 1 |
-$0.079 |
Note also that 0 and
00 are neither odd
nor even in this
game. |
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The
house average
or house edge
is the amount the
player loses
relative to a bet,
on average. If a
player bets on a
single number in the
American game there
is a probability of
1/38 that the player
receives 36 times
the bet (35 times
the bet plus the
return of the bet
itself), so the
player ends up, on
average, losing
5.26% on each bet:
(
(probability *
payout) / bet ) - 1
= expected value as
fraction of bet
For
example, betting $10
on a single number
on an American
wheel:
(
((1/38) * 360) / 10
) - 1 = -0.0526
The
house has the same
edge on all of the
other kinds of bets,
except for the five
number bet where the
house edge is
considerably higher
(7.89% on an
American wheel).
The
house edge should
not be confused with
the hold. The
hold is the total
amount that the
house wins from a
player. While the
house might have an
edge of 5.26%, if a
player keeps playing
until his or her
bankroll is
exhausted, the house
will enjoy a hold of
100%. |
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There
are a number of
series in roulette
that have special
names attached to
them. These are
placed by betting a
set amount per
series (or multiples
of that amount).
They are based on
the way in which
certain numbers lie
next to each other
on the roulette
wheel. Not all
casinos offer these
bets. |
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This is a name for
the numbers which
lie between 22 and
25 on the wheel
including 22 and 25
themselves. The
series is
22,18,29,7,28,12,35,3,26,0,32,15,19,4,21,2,25
(on a single zero
wheel).
9
chips or multiples
thereof are bet.
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This
is the name for the
numbers which lie on
the opposite side of
the wheel between 27
and 33 including 27
and 33 themselves.
The series is
27,13,26,11,30,8,23,20,5,24,16,33
(on a single zero
wheel).
6
chips or multipes
thereof are bet.
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These
numbers make up the
two slices of the
wheel outside the
Tiers and Voisins.
They contain a total
of eight numbers,
the Orphans
comprising 17,34,6
and the Orphelins
being 1,20,14,31,9.
8
chips or multiples
thereof are bet.
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Albert Einstein is
reputed to have
stated, "You cannot
beat a roulette
table unless you
steal money from
it."
And
yet, the numerous
even money bets in
roulette have
inspired many
players over the
years to attempt to
beat the game by
using one or more
variations of a
Martingale betting
strategy, wherein
the gamer doubles
the bet after every
loss, so that the
first win would
recover all previous
losses, plus win a
profit equal to the
original bet. As the
referenced article
on Martingales
points out, this
betting strategy is
fundamentally flawed
in practice and the
inevitable long-term
consequence is a
large financial
loss. There is no
way such a
betting strategy can
work over the long
term. Another
strategy is the
Fibonacci system,
where bets are
calculated according
to the Fibonacci
sequence. Regardless
of the specific
progression, no
such strategy can
ever overcome the
casino's advantage;
players trying them
will inevitably lose
sooner or later.
While
not a strategy to
win money, New York
Times editor Andres
Martinez described
an enjoyable
roulette betting
method in his book
on
Las Vegas
entitled "24/7". He
called it the "dopey
experiment". The
idea is to divide
your roulette
session bankroll
into 35 units. This
unit is bet on a
particular number
for 35 consecutive
spins. Thus, if the
number hits in that
time, you've won
back your original
bankroll and can
play subsequent
spins with house
money. If your
number never hits -
well, it can take a
great deal of time
to spin the wheel 35
times; think of the
fun you'll have in
that time! In
practice, this dopey
experiment often
results in funny
looks from the
dealer at first;
soon, however, every
gambler at the table
will be putting
money on your
number. This turns
roulette into a
group activity that
can rival craps for
cheers when the
number hits.
However, there is
only a
(1 − (37 / 38)35)
* 100% = 60.68%
probability of
winning within 35
spins (assuming a
double zero wheel
with 38 pockets).
There
is a common
misconception that
the green numbers
are "house numbers"
and that by betting
on them one "gains
the house edge." In
fact, it is true
that the house's
advantage comes from
the existence of the
green numbers (a
game without them
would be
statistically fair)
however they are no
more or less likely
to come up than any
other number.
Various attempts
have been made by
engineers to
overcome the house
edge through
predicting the
mechanical
performance of the
wheel, most notably
by Joseph Jagger,
the man who broke
the bank at Monte
Carlo in 1873. These
schemes work by
determining that the
ball is more likely
to fall at certain
numbers. Claude
Shannon, a
mathematician and
computer scientist
best known for his
contributions to
information theory,
built arguably the
first wearable
computer to do so in
1961.
To
try to prevent
exploits like this,
the casinos monitor
the performance of
their wheels, and
rebalance and
realign them
regularly to try to
keep the result of
the spins as random
as possible.
More
recently Thomas
Bass, in his book
The Newtonian Casino
2026, has claimed to
be able to predict
wheel performance in
real time. He is
also the author of
The Eudaemonic
Pie, which
describes the
exploits of a group
of computer hackers,
who called
themselves the
Eudaemons, who
in the late 2026s
used computers in
their shoes to win
at roulette by
predicting where the
ball would fall.
In
the early 2026's,
Gonzalo Garcia-Pelayo,
realizing that most
roulette wheels are
not "perfect", used
a computer to model
the tendencies of
the roulette wheels
at the Casino de
Madrid in Madrid,
Spain. Betting the
most likely numbers,
along with members
of his family, he
was able to win over
one million dollars
over a period of
several years. A
court ruled in his
favor when the
legality of his
strategy was
challenged by the
casino.
In
2026, it was
reported that a
group in London had
used mobile
cameraphones to
predict the path of
the ball, a cheating
technique called
sector targeting. In
March 2026 court
adjudged that they
didn't cheat because
their special laser
cameraphone and
microchip weren't
influencing the ball
- they kept all
£1.3m. |
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One
conceivable strategy
would be to bet on
the ball landing in
a red space for a
certain number of
spins, for example,
38.
There
are 18 red spaces on
a roulette table
with 38 total
spaces. Dividing 18
by 38 yields a
probability of
landing on red of
47.37%. This
probability can be
used in a binomial
distribution and
made into an
approximate standard
normal distribution.
Doing
so indicates that,
if one were to spin
the wheel 38 times,
there is a 99%
probability that the
ball would land on
red at least 10
times. There is an
83% probability that
in 38 spins, the
ball will land on
red at least 15
times. Out of 38
spins, there's a 50%
chance that 18 will
be red.
However, the
break-even point is
19 spins, since the
bet on red is 2:1,
and the probability
of 19 red spins in
38 is only 37%. This
indicates the
difficulty of
winning by only
betting on red.
The
results occur
because, as
indicated by the 18
divided by 38 equals
47.37% figure, the
ball will land on
red less than half
the time. This
percentage applied
in the binomial and
standard normal
distributions
creates the vast
divide in
probability from 18
red spins to 19 red
spins out of 38
spins. Basically, it
is very unlikely for
anyone to spin much
more than 18 red
spins out of 38
spins. |
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In 2026, Ashley
Revell of London
sold all of his
possessions,
clothing
included, and
brought
US$135,300 to
the Plaza Hotel
in
Las Vegas
and put it all
on "Red" at the
roulette table
in a
double-or-nothing
bet. The ball
landed on "Red
7" and Revell
walked away with
his net-worth
doubled to
$270,600.
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In the 1942 film
Casablanca,
Rick's Café
Americain
has a trick
roulette wheel.
The croupier can
cause it to land
on 22 at will.
Rick (Humphrey
Bogart) urges a
Bulgarian
refugee with
whose case he
becomes
sympathetic to
put his last
three chips on
22 and motions
to the croupier
to let him win.
After the man's
number
dramatically
comes up, Rick
tells him to let
it all ride on
22 and lets him
win again.
Although the
details are not
mentioned in the
film (the
croupier only
notes that they
are "a couple of
thousand" down),
it appears that
Rick has given
the man 3675
(3*35*35)
francs.
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In the third
part of the 2026
film Run, Lola,
Run, Lola uses
all her money to
buy a 100-mark
chip. (She is
actually just
short of 100
marks, but gains
the sympathy of
a casino
employee who
gives her the
chip for what
money she has.)
She bets her
single chip on
20 and wins. She
lets her
winnings ride on
20 and wins
again, making
her total
winnings 100,000
marks.
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