Chances Of Winning At Casino Slots

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When you set for yourself an ambitious goal such as to learn how to win at Slots or how to pick a winning Slot machine, hard work is key. You need to have a clear process in place, a defined bankroll to invest in your tests, and a lot of patience. The secrets to winning on Slot machines are not easy to uncover, especially since Casinos don't want you to know them. There are two main aspects that determine the chances of winning the game of slots you play, the first is the number of reels and symbols and the second is the payment percentage of slots. Most slots accept different amounts of credit to play, usually from 1 to 15 credits per line. On any slot machine, winning odds can be maximized with a few simple steps: make a ‘game budget,’ and stick to it.Don’t deposit more than your budget. If you can afford to lose $100 dollars, then don’t deposit more than that, and once it’s gone, quit.

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Introduction

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 2001 so the information is a bit dated.

Las Vegas 5 Cent Slot Survey

RankCasinoAverage
Return
1Palms93.42%
2Gold Coast92.84%
3Sahara92.81%
4 (tie)Bourbon Street92.63%
4 (tie)Imperial Palace92.63%
4 (tie)Slots a Fun92.63%
7Key Largo92.60%
8Western92.57%
9Ellis Island92.56%
10El Cortez92.56%
11Orleans92.56%
12Circus Circus92.56%
13Gold Spike92.55%
14Fitzgeralds92.54%
15Fiesta - Rancho92.53%
16Arizona Charlie's East92.51%
17Barbary Coast92.50%
18Terrible's92.49%
19Arizona Charlie's92.49%
20Hard Rock92.47%
21Town Hall92.47%
22Longhorn92.47%
23Riviera92.23%
24California92.14%
25Lady Luck92.10%
26Nevada Palace92.06%
27Plaza91.94%
28Luxor91.92%
29Paris91.92%
30San Remo91.88%
31Excalibur91.84%
32Palace Station91.84%
33Ballys91.82%
34Las Vegas Club91.76%
35Four Queens91.75%
36Texas Station91.71%
37Casino Royale91.67%
38Boulder Station91.55%
39Aladdin91.5%
40O'sheas91.48%
41Hilton91.40%
42Boardwalk91.28%
43New York New York90.99%
44Horseshoe90.96%
45Sam's Town90.89%
46Santa Fe Station90.87%
47Flamingo90.86%
48Golden Nugget90.85%
49Stratosphere90.8%
50Tropicana90.71%
51Golden Gate90.64%
52Silverton90.57%
53Main Street Station90.56%
54Westward Ho90.40%
55Fremont90.37%
56Castaways90.36%
57Monte Carlo90.24%
58Stardust89.97%
59Frontier89.91%
60MGM Grand89.81%
61Harrahs89.32%
62Treasure Island89.32%
63Mirage89.3%
64Caesars Palace89.05%
65Mandalay Bay88.87%
66Rio88.72%
67La Bayou88.26%
68Mermaids88.26%
69Bellagio87.42%
70Venetian86.66%
71Airport85.02%

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.

Returns by Region

Chances
LocationAverage
Return
Off strip92.07%
Downtown91.66%
Strip 91.47%
Total91.74%

The above sign can be found across the street from the Palms. Although I did the study Anthony Curtis published it in the LasVegas 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 had the lowest nickel video slotsof the casinos surveyed in Las Vegas. The small print at thebottom says, 'Independent study conducted between November2001-February 2002 on Austin Powers, Fortune Cookie, Reel'em In, and Wheel of Fortune games. They left off LeopardSpots, and the study began in October.

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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 atypical 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 arevisible on five different reels. By comparing actualobservations of results to the par sheets it is possible todetermine 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 actualmachine it narrows down the possible par sheets. By playingenough the player can narrow down the possible par sheets tojust 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.

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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, the Slot Chart in Casino Player magazine and reports by the Nevada Gaming Control Board 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 mine 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.

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Internal Links

Go to slot machine appendix3B (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.

External Links

The main-stream media has covered this study in depth. Here are links to some articles.

  • Turning'em loose, an article that appeared in the Las VegasReview Journal on May 19, 2002, about the possible effectsof this study.
  • One-Armed Bandit or Robin Hood? , an article by myself for Contingencies Magazine explaining the methodology, results, and weaknesses of the study.
  • Play by the rules and the one-armed bandits will still win. Boston Globe article about slot machines, in which my Las Vegas survey is mentioned and my advice quoted. (cache)

Written by: Michael Shackleford

Random chance plays an important role of every type of gambling game. Skill is the leverage (in terms of knowledge of the rules of the game) you apply to maximize your potential for winning andminimize your potential for losing. No casino gambling game is ever determined by skill alone.

We cannot measure random chance. And gamblers frequently mistake their knowledge of games’ probability tables for predictive knowledge. Probabilities do not predict anything. If you know the probabilities for the outcome of the next round in a casinogame, you can feel more confident about your next action. That is all the probabilities guarantee you.

The casino, on the other hand, uses the probabilities to determine the maximum risk itaccepts per round in a game. The casino represents those acceptable risks in terms of the odds they give per wager.

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The mathematical probability of an event happening is 1 divided by the number of possible events. You add the probabilities for identical events together to compute unique probabilities. Butbecause random chance is used to determine game outcomes, the probabilities have no effect on what happens next. And the odds do not reflect the probabilities.