
Roulette Strategy
& Rules :
Zeros determine the odds
in roulette
About The Author
Michael
Shackleford is known as "The Wizard of Odds", due to his mathematical
analysis of many games of chance.
If you are
willing to learn and want to maximize your odds, then visit his website
at www.thewizardofodds.com
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The Wizard
of Odds
Roulette
is one of the easiest games to play and understand in the casino. As usual,
however, the easier a game is to understand the greater the house edge,
and roulette is no exception. If you must play roulette you would be well
advised to seek out a single-zero game. If you must play double-zero roulette
just stay away from the 0,00,1,2,3 five-number combination which has the
highest house edge.
There are
a host of different bets you can make, most of which have the same house
edge. If there were no zeros on the wheel all of the bets would pay fair
odds, (for example, 35 to one for a bet on a single number). It could
be said that it is the zeros that give the house its edge and are often
thought of as the "dealer's numbers", despite the fact that the player
can bet on them.
The following
table shows all the various bets, their payoff, probability of winning,
and house edge for a double-zero wheel. In the case of single-zero games
the payoffs are the same but the house edge is always 2.70%.
Double-zero
roulette
|
Bet |
Pays |
Probability |
House
edge |
Red |
1:1 |
47.37% |
5.26% |
Black |
1:1 |
47.37% |
5.26% |
Odd |
1:1 |
47.37% |
5.26% |
Even |
1:1 |
47.37% |
5.26% |
1
to 18 |
1:1 |
47.37% |
5.26% |
19
to 36 |
1:1 |
47.37% |
5.26% |
1
to 12 |
2:1 |
31.58% |
5.26% |
13
to 24 |
2:1 |
31.58% |
5.26% |
25
to 36 |
2:1 |
31.58% |
5.26% |
Any
one number |
35:1 |
2.63% |
5.26% |
Two
number combination |
17:1 |
5.26% |
5.26% |
Three
number combination |
11:1 |
7.89% |
5.26% |
Four
number combination |
8:1 |
10.53% |
5.26% |
Six
number combination |
5:1 |
15.79% |
5.26% |
0,00,1,2,3
combination |
6:1 |
13.16% |
7.89% |
The numbers
on the wheel
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. In particular
the numbers are usually organized in pairs, with one number in between,
and whose sum is either 37 or 39. This is true of all of the following pairs:
(10,29), (25,12), (29,8), (12,19), (8,31), (19,18), (31,6), (18,21), (6,33),
(21,16), (33,4), (16,23), (4,35), (23,14), (35,2), (9,30), (26,11), (30,7),
(7,32), (20,17), (32,5), (17,22), (5,34), (22,15), (34,3), (15,24), (3,36),
(24,13), (36,1). The only numbers that fall outside this pattern are 27,14,2,28,11,13,
and 1.
Locations
of single-zero games
At a few places
in the United States, and many in Europe, you can find single-zero roulette.
This is a much better gamble than double-zero roulette, with a house advantage
of 1/37 =~ 2.70%. Many of the single-zero wheels in the U.S. have high minimums.
I know of or have heard about single-zero roulette at:
- The Tropicana
(Las Vegas)
- The Frontier
(Las Vegas)
- The Monte
Carlo (Las Vegas)
- The Stratosphere
(Las Vegas)
- Mandalay
Bay (Las Vegas), $25 minimum
- Grand
Casino (Tunica)
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