Probability Of Winning A Slot Machine

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Jul 16, 2019 Slot machines are fun, and choosing a winning slot machine seems like a worthy goal. Luckily for us, it’s a skill that everyone has in equal amounts. Everyone has a 0% probability of accurately predicting which slot machine is going to be the winning machine. Jul 20, 2017  You must know both the probability of winning and the payout when you win to make this calculation. How Progressive Jackpots Work. You’ve probably seen slot machine games with huge jackpots that seem to constantly be growing. These are progressive jackpot games, and they work slightly differently than a standard slot machine game.

On This Page

Introduction

When it comes to gambling, the easier a game is to understand the worse the odds usually are. This is certainly the case with slot machines. Playing them is as easy as pressing a button. However, between the high house edge and fast rate of play, there is no quicker way to lose your money in a casino.

Before going further, let me make clear that this page addresses the way slot machines work in most parts of the United States and the world. However, some parts of this page do not apply everywhere. For example, I state that slot machines have a memory-less property, where the odds of every spin are the same. In some places, like the UK, some machines in bars, called 'fruit machines,' have a mechanism that guarantees a certain profit over the short run, which causes the game to go through loose and tight cycles. These games do not have the usual independence property of the major slot makers.

How They Work

Whether you're playing a 3-reel single-line game or a 5-reel 25-line game, the outcome of every bet is ultimately determined by random numbers. The game will choose one random number for each reel, map that number onto a position on the reel, stop the reel in the appointed place, and score whatever the outcome is. In other words, the outcome is predestined the moment you press the button; the rest is just for show. There are no hot and cold cycles; your odds are the same for every spin on a given machine.

Slot machines are just about the only game in the casino where the odds are not quantifiable. In other words, the player doesn't know how the game was designed, so it is difficult to look at an actual game to use as an example. So, to help explain how they work, I created the Atkins Diet slot machine (link). It is a simple, five-reel game with a free spin bonus round, much like IGT's Cleopatra game.


For information on how it works and all the odds, please visit my Atkins Diet par sheet.

For a more complicated example, featuring sticky wilds in the bonus, please try my Vamos a Las Vegas slot machine.


For information on how it works and all the odds, please visit my Vamos a Las Vegas par sheet (PDF).

Odds

The following table shows the casino win for Clark County Nevada (where Las Vegas is) for all slots for calendar year 2012. They define 'slot' as any electronic game, including video poker and video keno. I've found video keno to be about equally as tight as reeled slots, but video poker has a much higher return. So, the return for reeled slots should be higher than these figures.

Clark County Slot Win 2012

DenominationCasino Win (pct)
$0.0110.77%
$0.055.96%
$0.255.74%
$1.005.64%
$5.005.51%
$25.003.97%
$100.004.73%
Megabucks12.89%
Multi-denomination5.32%
Total6.58%

Source: Nevada Gaming Control Board, Gaming Revenue Report for December 2012 (PDF, see page 6).

Most players play penny video slots. Based on past research, I find the house edge on those to usually be set from 6% to 15%. In general, the nicer the casino, the tighter the slots.

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Advice

While there is no skill to playing slots, there is some skill in selecting which machine to play and ways you can maximize your return. What follows is my advice, if you must play slots at all.

  • Always use a player card. Slots may be a lousy bet, but the casinos treat slot players very well. A $1 slot player will probably get comped better than a $100 blackjack player. Of course, don't play for the reason of getting comps. You'll give them a lot more than they'll give you.
  • The simpler the game, the better the odds. The fancy games with big signs and video screens tend to not pay as well as the simple games. However, slot players always tell me the fancy games are more fun.
  • The higher the denomination, the better the odds. For that reason, it is better to play one coin per line on a 5-cent game than five coins per line on a 1-cent game.
  • Don't forget to cash out and take your ticket when you leave. It is easy to forget after hitting a jackpot.
  • Try to play slowly and as little as possible to get your fix.
  • In some games there is a skill feature, like Top Dollar. In such games, advice is usually offered, which you should take.

Myths and Facts


Probability Of Winning A Slot Machine

Just about everything that players believe about slots is untrue. Here are the most common myths and facts. As a reminder, this page is based on slot machines commonly found in the United States. Some machines, like 'fruit machines' found in the United Kingdom work differently.

  • Myth: Slot machines are programmed to go through a cycle of payoffs. Although the cycle can span thousands of spins, once it reaches the end the outcomes will repeat themselves in exactly the same order as the last cycle.

    Fact Free casino betting no deposit. : This is not true at all. Every spin is random and independent of all past spins.

  • Myth: Slot machines are programmed to pay off a particular percentage of money bet. Thus, after a jackpot is hit the machine will tighten up to get back in balance. On the other hand, when a jackpot has not been hit for a long time it is overdue and more likely to hit.

    Fact: As just mentioned, each spin is independent of all past spins. That means that for a given machine game, the odds are always the same. It makes no difference when the last jackpot was hit or how much the game paid out in the last hour, day, week, or any period of time.

  • Myth: Machines pay more if a player card is not used.

    Fact: The mechanism that determines the outcome of each play does not consider whether a card is used or not. The odds are the same with or without one.

  • Myth: Using a player card enables the casino to report my winnings to the IRS.

    Fact: That makes no difference. If you win $1,200 or more they will report it either way. If you have a net losing year, which you probably will, at least the casino will have evidence of it. Such annual win/loss statements may be used as evidence to declare offsetting loses to jackpot wins.

  • Myth: The slot department can tighten my game with the press of a button remotely. Thus, you better be nice to the staff and tip them well, or they will use a remote control to have the machine take you down in a hurry.

    Fact: There is now some truth to the myth that the odds of a machine can be changed remotely. Such 'server-based slots' are still experimental and in a minority. Even with server-based slots, there are regulations in place to protect the player from the perceived abuses that could accompany them. For example, in Nevada a machine can not be altered remotely unless it has been idle for at least four minutes. Even then, the game will display a notice that it is being serviced during such changes. (source) Meanwhile, for the vast majority of slots, somebody would physically need to open the machine and change a computer chip, known as an EPROM chip, to make any changes.

  • Myth: The machines by the doors and heavy traffic flow areas tend to be loose while those hidden in quiet corners tend to be tight.

    Fact: I've studied the relationship between slot placement and return and found no correlation. Every slot director I've asked about this laughs it off as just another player myth.

  • Myth: Slots tend to be looser during slow hours on slow days of the week. However, when the casino is busy they tighten them up.

    Fact: Nobody would take the trouble to do this, even if he could. The fact of the matter is the casinos are trying to find a good balance between winning some money while letting the player leave happy. That is best achieved by slots loose enough to give the player a sufficiently long 'time on device,' as they call it in the industry, with a reasonable chance of winning so he will return to the same casino next time. If the slots are too tight, the players will sense it and be unlikely to return.

    The kind of place you're likely to find tight slots are those with a captive audience, like the Las Vegas airport. So, if the slot manager feels that 92% is the right return for a penny game, for example, he is likely to set every penny game all that way, and keep them that way for years.

Play


Atkins Diet
Analysis
Vamos a Las Vegas
Analysis (PDF). Australian Reels — One Line
Analysis (PDF)
Australian Reels — Five Line
Analysis
21 Bell
Analysis
Fruit Machine
Analysis

Reviews

Probability
  • Dazzle Me (NetEnt)
  • Mr. Vegas (Betsoft)
  • Sparks (NetEnt)

Internal Links


  • Appendix 1 shows the details and analysis of almost 4000 actual spins on a Reno slot machine.
  • Appendix 2 shows an example of the virtual reels behind a hypothetical slot machine and how the average return is calculated.
  • Appendix 3A: 2003 Las Vegas slot machine rankings.
  • Appendix 3B: 2002 Jean/Primm slot machine rankings.
  • Appendix 3C: 2002 Tunica slot machine rankings.
  • Appendix 3D: 2002 Henderson/Lake Mead slot machine rankings.
  • Appendix 3E: 2002 Quarter and dollar returns for Las Vegas slots
  • Appendix 4 shows how the return is calculated for my Wizard's Fruit Slot Machine.
  • Appendix 5 analysis of the 21 Bell Slot Machine.
  • Appendix 6 Analysis of Red, White, & Blue Slot Machine.
  • Lock and Roll analysis of the skill-based slot machine found in North Carolina.
  • Deconstructing Jackpot Party analysis of the video slot machine.
  • Deconstructing Lion's Share analysis of the classic MGM progressive game.
  • Deconstructing Cleopatra analysis of the popular IGT game.
  • Deconstructing Lionfish analysis of the slot game found on many Game Maker machines.
  • Deconstructing Megabucks.
  • Deconstructing the Atkins Diet slot machine.
  • Deconstructing Lucky Larry's Lobstermania.
  • Deconstructing Hexbreaker.
  • Deconstructing Blazing Sevens.
  • Deconstructing Hot Roll.
  • Mystery progressives on Ainsworth slots.
  • Mystery progressives on WMS slots.
  • Baltimore Sun article, in which I am quoted.
  • 100% Rebate on Slot Losses Promotions: When to quit playing when all losses are refunded.

External Links


  • For a simplified explanation of slots, please see my companion site Wizard of Vegas
  • German translation of this page is available at richtigspielen.com
  • Another decent overview of how slots work and some practical advice for playing them is How Slot Machines Work at VegasClick.com.
  • PAR Sheets, probabilities, and slot machine play: Implications for problem and non-problem gambling by Kevin A. Harrigan and Mike Dixon, University of Waterloo, Waterloo, Ontario, Canada. This is an outstanding academic paper that details how some popular slot machines were designed.
  • PAR Sheets, probabilities, and slot machine play: Implications for problem and non-problem gambling - Academic paper based on the par sheets for some modern slot machines

Probability of winning a slot machine 2017

Probability Of Winning Slot Machine Jackpot

Written by: Michael Shackleford

In a modern slot machine, the odds of hitting a particular symbol or combination of symbols depends on how the virtual reel is set up. As we saw in the last section, each stop on the actual reel may correspond to more than one stop on the virtual reel. Simply put, the odds of hitting a particular image on the actual reel depend on how many virtual stops correspond to the actual stop.

In a typical weighted slot machine, the top jackpot stop (the one with the highest-paying jackpot image) for each reel corresponds to only one virtual stop. This means that the chance of hitting the jackpot image on one reel is 1 in 64. If all of the reels are set up the same way, the chances of hitting the jackpot image on all three reels is 1 in 643, or 262,144. For machines with a bigger jackpot, the virtual reel may have many more stops. This decreases the odds of winning that jackpot considerably.

Slot Machine Winnings On Youtube

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Probability Of Winning A Slot Machines

The losing blank stops above and below the jackpot image may correspond to more virtual stops than other images. Consequently, a player is most likely to hit the blank stops right next to the winning stop. This creates the impression that they 'just missed' the jackpot, which encourages them to keep gambling, even though the proximity of the actual stops is inconsequential.

A machine's program is carefully designed and tested to achieve a certain payback percentage. The payback percentage is the percentage of the money that is put in that is eventually paid out to the player. With a payback percentage of 90, for example, the casino would take about 10 percent of all money put into the slot machine and give away the other 90 percent. With any payback percentage under a 100 (and they're all under 100), the casino wins over time.

In most gambling jurisdictions, the law requires that payback percentages be above a certain level (usually somewhere around 75 percent). The payback percentage in most casino machines is much higher than the minimum -- often in the 90- to 97-percent range. Casinos don't want their machines to be a lot tighter than their competitors' machines or the players will take their business elsewhere.

The odds for a particular slot machine are built into the program on the machine's computer chip. In most cases, the casino cannot change the odds on a machine without replacing this chip. Despite popular opinion, there is no way for the casino to instantly 'tighten up' a machine.

Machines don't loosen up on their own either. That is, they aren't more likely to pay the longer you play. Since the computer always pulls up new random numbers, you have exactly the same chance of hitting the jackpot every single time you pull the handle. The idea that a machine can be 'ready to pay' is all in the player's head, at least in the standard system.

When you hit the slot machines in a casino, you'll have dozens of gaming options. Machines come with varying numbers of reels, for example, and many have multiple pay lines.

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Most machines with multiple pay lines let players choose how many lines to play. For the minimum bet, only the single line running straight across the reels counts. If the player puts more money in, he or she can play the additional horizontal lines above and below the main pay line or the diagonal lines running across the reels.

For machines with multiple bet options, whether they have multiple pay lines or not, players will usually be eligible for the maximum jackpot only when they make the maximum bet. For this reason, gambling experts suggest that players always bet the maximum.

Tricks To Winning Slot Machines

There are several different payout schemes in modern slot machines. A standard flat top or straight slot machine has a set payout amount that never changes. The jackpot payout in a progressive machine, on the other hand, steadily increases as players put more money into it, until somebody wins it all and the jackpot is reset to a starting value. In one common progressive setup, multiple machines are linked together in one computer system. The money put into each machine contributes to the central jackpot. In some giant progressive games, machines are linked up from different casinos all across a city or even a state.

Slot Machines Odds Of Winning

Some slot-machine variations are simply aesthetic. Video slots operate the same way as regular machines, but they have a video image rather than actual rotating reels. When these games first came out, players were very distrustful of them; without the spinning reels, it seemed like the games were rigged. Even though the reels and handles in modern machines are completely irrelevant to the outcome of the game, manufacturers usually include them just to give players the illusion of control.

Probability Of Winning A Slot Machine Jackpot

These are only a few of today's popular slot variations. Game manufacturers continue to develop new sorts of machines with interesting twists on the classic game. A lot of these variations are built around particular themes. There are now slot games based on television shows, poker, craps and horse racing, just to name a few.

To learn more about modern slot machines, including strategies to increase your chances of winning, check out the links below.

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