Appendix 3A
Actual Slot Machine Return Percentages
The following table ranks the Las Vegas casinos according to the
looseness of their video display reeled nickel slot machines. The
returns are based on a sampling of five different types of machines.
The data collected goes back as far as October so the information is
a bit dated.
| 5 cent machines |
| Rank |
Casino |
Average Return |
| 1 |
Palms |
93.42% |
| 2 |
Gold Coast |
92.84% |
| 3 |
Sahara |
92.81% |
| 4 (tie) |
Bourbon Street |
92.63% |
| 4 (tie) |
Imperial Palace |
92.63% |
| 4 (tie) |
Slots a Fun |
92.63% |
| 7 |
Key Largo |
92.6% |
| 8 |
Western |
92.57% |
| 9 |
Ellis Island |
92.56% |
| 10 |
El Cortez |
92.56% |
| 11 |
Orleans |
92.56% |
| 12 |
Circus Circus |
92.56% |
| 13 |
Gold Spike |
92.55% |
| 14 |
Fitzgeralds |
92.54% |
| 15 |
Fiesta - Rancho |
92.53% |
| 16 |
Arizona Charlie's East |
92.51% |
| 17 |
Barbary Coast |
92.5% |
| 18 |
Terrible's |
92.49% |
| 19 |
Arizona Charlie's |
92.49% |
| 20 |
Hard Rock |
92.47% |
| 21 |
Town Hall |
92.47% |
| 22 |
Longhorn |
92.47% |
| 23 |
Riviera |
92.23% |
| 24 |
California |
92.14% |
| 25 |
Lady Luck |
92.1% |
| 26 |
Nevada Palace |
92.06% |
| 27 |
Plaza |
91.94% |
| 28 |
Luxor |
91.92% |
| 29 |
Paris |
91.92% |
| 30 |
San Remo |
91.88% |
| 31 |
Excalibur |
91.84% |
| 32 |
Palace Station |
91.84% |
| 33 |
Ballys |
91.82% |
| 34 |
Las Vegas Club |
91.76% |
| 35 |
Four Queens |
91.75% |
| 36 |
Texas Station |
91.71% |
| 37 |
Casino Royale |
91.67% |
| 38 |
Boulder Station |
91.55% |
| 39 |
Aladdin |
91.5% |
| 40 |
O'sheas |
91.48% |
| 41 |
Hilton |
91.4% |
| 42 |
Boardwalk |
91.28% |
| 43 |
New York New York |
90.99% |
| 44 |
Horseshoe |
90.96% |
| 45 |
Sam's Town |
90.89% |
| 46 |
Santa Fe Station |
90.87% |
| 47 |
Flamingo |
90.86% |
| 48 |
Golden Nugget |
90.85% |
| 49 |
Stratosphere |
90.8% |
| 50 |
Tropicana |
90.71% |
| 51 |
Golden Gate |
90.64% |
| 52 |
Silverton |
90.57% |
| 53 |
Main Street Station |
90.56% |
| 54 |
Westward Ho |
90.4% |
| 55 |
Fremont |
90.37% |
| 56 |
Castaways |
90.36% |
| 57 |
Monte Carlo |
90.24% |
| 58 |
Stardust |
89.97% |
| 59 |
Frontier |
89.91% |
| 60 |
MGM Grand |
89.81% |
| 61 |
Harrahs |
89.32% |
| 62 |
Treasure Island |
89.32% |
| 63 |
Mirage |
89.3% |
| 64 |
Caesars Palace |
89.05% |
| 65 |
Mandalay Bay |
88.87% |
| 66 |
Rio |
88.72% |
| 67 |
La Bayou |
88.26% |
| 68 |
Mermaids |
88.26% |
| 69 |
Bellagio |
87.42% |
| 70 |
Venetian |
86.66% |
| 71 |
Airport |
85.02% |
Excluded Casinos
The Suncoast and Rampart Casino in Summerlin do not allow playing
slots and taking notes at the same time. I can not include any
casino that prohibits the method in which I gather data.
Location Averages
The next table shows the average return by location.
| 5 cent machines |
| Location |
Average Return |
| Off strip |
92.07% |
| Downtown |
91.66% |
| Strip |
91.47% |
| Total |
91.74% |
The above sign can be found across the street from the Palms.
Although I did the study Anthony Curtis published it in the Las Vegas Advisor, which
is how it become well known. The "..." in the sign encompases quite
a bit of information, which was conveniently left off the sign.
Actually the study only says that the Palms was had the lowest
nickel video slots of the casinos surveyed in Las Vegas. The small
print at the bottom says, "Independent study conducted between
November 2001-February 2002 on Austin Powers, Fortune Cookie, Reel
'em In, and Wheel of Fortune games. They left off Leopard Spots, and
the study began in October.
Observations
There seemed to be no truth behind slot placement myths. Machines
on the end of a bank did no better on average than those in the
middle. There was also no correlation between return and proximity
to such things as the main door, table game pit, high traffic areas,
and low traffic areas.
Most casinos were very consistent in their slot returns. If one
nickel machine had a return of x% then all others like it also
returned x%. However some casinos did mix up loose and tight
machines, most notably Treasure Island and the California casinos.
Methodology
A kind and anonymous source provided me with PAR sheets for the
games in question. The EPROM (Erasable Programmable Read Only
Memory) chip is what tells the machine the order of the symbols on
the reel, in some cases how the stops are weighted, how much each
winning combination pays, and any other pertinent information about
how much the machine pays. It is up to the slot manager to select
which EPROM chip to order according to the return percentage
desired. On a typical game there might be about 8 different possible
return percentages, ranging from about 85% to 98%.
Each of the different PAR sheets has five sets of distinct reels.
On video display slots the stops are not weighted; in other words
all stops are equally likely. The distribution of each symbol on
each reel is what determines the theoretical return of the machine.
For example a higher paying machine may have more of the higher
paying symbols.
On the machine itself three consecutive symbols are visible on
five different reels. By comparing actual observations of results to
the PAR sheets it is possible to determine which reels the machine
uses, and thus which PAR sheet and which return. There are various
three-symbol combinations that appear in at least one but not all
PAR sheets. So if one of these combinations occurs on an actual
machine it narrows down the possible PAR sheets. By playing enough
the player can narrow down the possible PAR sheets to just one.
To help identify the unique combinations I wrote a computer
program for each game, which had the exact reel order of all 5 reels
of all the PAR sheets. The program then counted the number of PAR
sheets with each possible three-symbol combination. If the number
was greater than 0 and less than the maximum then that combination
was identified along with the associated PAR sheets it belonged to.
It is then a matter of simply playing the game and comparing the
outcomes to the list of partially unique combinations. It only takes
about 5-10 plays per machine to narrow down the possibilities to
just one PAR sheet.
The averages in the table are actually an average of averages.
For each kind of machine at each casino I took an average return.
Then I took the average of these averages over the five kinds of
machines I tested for.
"Slot Machine" Definition
There is some confusion about what constitutes a "slot machine"
or "slot." My definition, and that of most gamblers, is a gambling
machine with either actual spinning reels or video representations
of the them.
People in the gaming business and regulators generally refer to a
slot machine as any gambling machine, including reeled slots, video
poker, video keno, video blackjack, etc.. For purposes of statistics
both casino managers and regulators combine all the electronic
gambling machines together. For example, reports such as the one by
the state of Nevada here
and the Slot Chart in Casino Player magazine do not isolate just
reeled slots but consider all electronic games a "slot." Therefore
my return percentages should not be expected to agree with those
reported by the casinos or regulators. As far as I know this is the
only source to isolate just the return of reeled slots.
Acknowledgements: I would like to thank Rob Feldheim for
helping with the slot play and record keeping. Rob helped me with
most of the casinos on the east side of town and part of downtown. I
would also like to thank Par Sheet Pete (not his real name) for
providing the par sheets, without which this project would not have
been possible.
Turning
'em loose, an article that appeared in the Las Vegas Review
Journal on May 19, 2002, about the possible effects of this
study.
Specifications,
computing help crack payoff code, an article that appeared in
the Las Vegas Review Journal on May 19, 2002, about how I did this
study.
Sheraton
slots atop list of nickel video payouts, an article that
appeared in Memphis' The Commercial Appeal on September 15, 2002
about how this study was used to rank the Tunica casinos.
Go to slot
machine appendix 3B (Jean/Primm slot returns).
Go to slot
machine appendix 3D (Henderson slot returns).
Go to slot
machine appendix 3E (Las Vegas quarter and dollar slot
returns).
Go to slot
machine appendix 3F (Montreal slot return).
Go back to slot
machines.