Chance Of Legendary In Slot Machine
- Chance Of Legendary In Slot Machine Casino Game
- Chance Of Legendary In Slot Machines
- Chance Of Legendary In Slot Machine Simulator
Remember the movie National Lampoon’s Vegas Vacation, when gambling fever consumes Chevy Chase’s character, Clark W. Griswold? He goes on a losing streak to beat all losing streaks while his son, Rusty, wins four cars by playing the slot machines. Maybe Clark would have done better if he had read Probability For Dummies! In this article, you discover the basic ideas behind slot machines and how they work, so that you can get past the myths and develop a strategy based on sound probability.
Understanding average payout
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When casinos advertise that their slot machines pay out an average of 90 percent, the fine print they don’t want you to read says that you lose 10 cents from each dollar you put into the machines in the long term. (In probability terms, this advertisement means that your expected winnings are minus 10 cents on every dollar you spend every time the money goes through the machines.)
Suppose you start with $100 and bet a dollar at a time, for example. After inserting all $100 into the slot, 100 pulls later you’ll end up on average with $90, because you lose 10 percent of your money. If you run the $90 back through the machine, you’ll end up with 90 percent of it back, which is 0.90 x 90 = $81. If you run that amount through in 81 pulls, you’ll have $72.90 afterward (0.90 x 81 = 72.90). If you keep going for 44 rounds, on average, the money will be gone, unless you have the luck of Rusty Griswold!
How many pulls on the machine does your $100 give you at this rate? Each time you have less money to run through the machine, so you have fewer pulls left. If you insert $1 at a time, you can expect 972 total pulls in the long term with these average payouts (that’s the total pulls in 44 rounds). But keep in mind that casinos are designing slot machines to go faster and faster between spins. Some are even doing away with the handles and tokens by using digital readouts on gaming cards that you put into the machines. The faster machines can play up to 25 spins per hour, and 972 spins divided by 25 spins per minute is 38.88 minutes. You don’t have a very long time to enjoy your $100 before it’s gone!
Chance Of Legendary In Slot Machine Casino Game
The worst part? Casinos often advertise that their “average payouts” are even as high as 95 percent. But beware: That number applies only to certain machines, and the casinos don’t rush to tell you which ones. You really need to read or ask about the fine print before playing. You can also try to check the information on the machine to see if it lists its payouts. (Don’t expect this information to be front and center.)
Implementing a simple strategy for slots
Advice varies regarding whether you should play nickel, quarter, or dollar slot machines and whether you should max out the number of coins you bet or not (you usually get to choose between one and five coins to bet on a standard slot machine). In this section, you’ll find a few tips for getting the most bang for your buck (or nickel) when playing slot machines.
Basically, when it comes to slot machines, strategy boils down to this: Know the rules, your probability of winning, and the expected payouts; dispel any myths; and quit while you’re ahead. If you win $100, cash out $50 and play with the rest, for example. After you lose a certain amount (determined by you in advance), don’t hesitate to quit. Go to the all-you-can-eat buffet and try your luck with the casino food; odds are it’s pretty good!
Choosing among nickel, quarter, and dollar machines
The machines that have the higher denominations usually give the best payouts. So, between the nickel and quarter slots, for example, the quarter slots generally give better payouts. However, you run the risk of getting in way over your head in a hurry, so don’t bet more than you can afford to lose. The bottom line: Always choose a level that you have fun playing at and that allows you to play for your full set time limit.
Deciding how many coins to play at a time
When deciding on the number of coins you should play per spin, keep in mind that more is sometimes better. If the slot machine gives you more than two times the payout when you put in two times the number of coins, for example, you should max it out instead of playing single coins because you increase your chances of winning a bigger pot, and the expected value is higher. If the machine just gives you k times the payout for k coins, it doesn’t matter if you use the maximum number of coins. You may as well play one at a time until you can make some money and leave so your money lasts a little longer.
For example, say a quarter machine pays 10 credits for the outcome 777 when you play only a single quarter, but if you play two quarters, it gives you 25 credits for the same outcome. And if you play the maximum number of quarters (say, four), a 777 results in 1,000 credits. You can see that playing four quarters at a time gives you a better chance of winning a bigger pot in the long run (if you win, that is) compared to playing a single quarter at a time for four consecutive tries.
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The latest slot machine sweeping the nation is the so-called “penny slot machine.” Although it professes to require only a penny for a spin, you get this rate only if you want to bet one penny at a time. The machines entice you to bet way more than one penny at a time; in fact, on some machines, you can bet more than 1,000 coins (called lines) on each spin — $10 a shot here, folks. Because these machines take any denomination of paper bill, as well as credit cards, your money can go faster on penny machines than on dollar machines because you can quickly lose track of your spendings. Pinching pennies may not be worth it after all!
- Appendices
- Slots Analysis
- Miscellaneous
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
| 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 | 92.60% |
| 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 | 92.50% |
| 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 | 92.10% |
| 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 | 91.40% |
| 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 | 90.40% |
| 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.
Returns by Region
| 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 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.
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. Free slots free bonus. 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.
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
Chance Of Legendary In Slot Machines
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.
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.
Chance Of Legendary In Slot Machine Simulator
- 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