Slots machines, as games of chance (rather than skill), are generally more about having fun than they are about making money.
But odds of the game can be set so that winners are less frequent than losers, and winners pay at less than true odds. Slots work that way, and so do table games. That’s enough for random results to give the house its edge. John Grochowski has been covering casinos and casino games for nearly 40 years. The huge jackpots combined with a lower house edge when you wager larger denominations mean you stand a better chance of winning the jackpot. Moreover, you can minimize the risk by choosing reliable slots and casinos whether you are offline or online. Generally, slot machines return about 97.5% to players over a period, but not 100%.
However, there are things you can do to maximize your wins and minimize your losses. For example, by calculating a slot machine’s payout percentage, you can obtain a larger picture idea of how much money you stand to win back. Other tactics include using effective bankroll management techniques, joining a slots club to benefit from its rewards programs, and more.
What Are the Odds of Winning on a Slot Machine?
Slot machine odds used to be easy to calculate. When you’re dealing with three reels, ten symbols on each reel, and a limited pay table, then it’s just a simple math problem. But the rise of electromechanical slot machines and (later) video slots added some complexity to the situation.
How Probability Works
Probability has two meanings. One is the likelihood of whether or not something will happen. The other is the branch of mathematics that calculates that likelihood. To understand the odds as they relate to slot machines (or any other gambling game), you have to understand the basic math behind probability.
Don’t worry though. The math isn’t hard. Probability involves addition, subtraction, multiplication, and division, all of which you learned in middle school.
The first principle of probability is that every event has a probability of between 0 and 1. If something has no chance of ever happening, then its probability is 0. If something will always happen, no matter what, then its probability is 1.
Probability is, therefore, always a fraction. It can be expressed in multiple ways, as a decimal, as a fraction, as a percentage, and as odds.
A simple example is a coin flip. The probability of getting heads when you flip a coin is 50%. That’s common sense, but how is it determined mathematically?
You simply take the total number of possible outcomes, and divide the outcome you’re trying to determine the probability of it by that number. There are two possibilities when flipping a coin, heads or tails, but only one of them is heads. That’s 1 divided by 2, which can be expressed as ½, 50%, 0.5, or 1 to 1 odds.
Odds are expressed as the number of ways something won’t happen versus the number of ways that something will happen. For example, if you’re rolling a single six-sided die, and you want to know the odds of rolling a six, you’re looking at 5 to 1 odds. There are five ways to roll something other than a six, and only one way of rolling a six.
When you want to determine the probability of multiple things happening, you use addition or multiplication, depending on whether you want to determine whether one OR the other event will occur, or whether you want to determine whether one event AND the other event will occur.
If you’re looking at an “OR” question, you add the probabilities together. If you’re looking at an “AND” question, you multiply the probabilities by each other.
So if you want to know what the probability of rolling two dice and having one or the other come up with a six, you add the probabilities together. 1/6 + 1/6 = 2/6, which is rounded down to 1/3.
If you want to know the probability of rolling two dice and having BOTH of them come up six, you multiply the probabilities. 1/6 X 1/6 = 1/36.
How Slot Machine Odds USED to Work
Early slot machines were mechanical devices. They had three metal reels that had ten possible stops each.
To calculate the odds of a single symbol appearing on a reel, you just divide the one symbol by the total number of potential outcomes. So if you had one cherry on a reel, your odds of hitting that cherry were 1/10, or 10%.
To calculate the odds of getting three cherries, you multiple 1/10 X 1/10 X 1/10 and get 1/1000, or 0.1%.
If the odds of hitting that symbol are the same as all the others, then you have 10 possible jackpots you can win, which means that your chances of winning SOMETHING are 10/1000, which is 1%.
Most people wouldn’t play a slot machine that lost 99 times out of 100, though, so slot machine designers added additional, smaller prizes for getting two symbols out of three for certain symbols. And as long as they paid out less in prizes than the odds of hitting those jackpots, then those slots are guaranteed to make a profit in the long run.
For example, if a prize for hitting three cherries was $1000, you’d be playing a break-even game, but if the prize were $750, it’s easy to see how the casino would be guaranteed a profit. The difference between the odds of winning and the payout odds is where the casino makes its money.
How Slot Machines Work Now
Modern slot machines use a computer program called a random number generator to determine the outcomes of the various spins of the reels. This creates an imaginary reel with a number of symbols limited only by the program in question.
A mechanical slot machine with 256 symbols per reel would be huge, too large to play, much less to build. But a computer can create an imaginary reel with 256 symbols per reel and take up no more space than an iPod Shuffle.
To make things even more interesting and entertaining, slot machine designers can program different probabilities for each symbol to come up. Most symbols might come up once every 256 spins, but others might come up twice as often, while still others might only come up half as often.
This enables slot machine designers and casinos to offer slot machine games with far larger jackpots than they were able to when they were limited by mechanical reels. And they’re able to offer these large jackpots and still generate a healthy profit.
How Does This Relate to Payback Percentages?
The payback percentage is the amount of money that the slot machine is designed to pay out over an enormous number of spins. This number is almost always less than 100%. The difference between 100% and the payback percentage is the house edge, and that’s where the casino makes its profits.
A simple example can help illustrate how this works. Suppose you have a slot machine with three reels with ten symbols on each, and it only pays out when three cherries hit. The odds of winning that jackpot, as we determined earlier, is 1/1000.
If we set the jackpot as $900, and charge $1 per bet, the payout percentage for that game will be 90%, or $900/$1000. Of course, no one would play a slots game which only paid out once in every 1000 spins, which is why there are various smaller payouts programmed in.
There’s no way to tell what the payback percentage on a particular game is unless you have access to the par sheet for that machine. Casino management has that information, but players never have access to that info.
The best slot machine odds are almost always found in real casinos. If you see slot machines in an airport or a bar, be aware that the payback percentages on those games is much lower than you’ll see in a real casino.
How to Win at Slot Machines
Everyone would like to know how to win at slots, but the truth is that winning at slot machines isn’t any harder than losing at slot machines. You put your money in the machine, spin the reels, and hope for the best. Slot machines are meant to be fun; they’re not intended to provide the player with an income.
In fact, the reality is just the opposite. Slots are there to provide the casino owners with an income. How that works is one of the subjects of this page.
On the other hand, you can minimize your losses and increase your enjoyment of slots games by understanding how they work. You can also learn which slots pay back the most money. In the long run, the house will still have an edge over you, but understanding how much you can expect to lose in a given venue can help you make better bankroll management decisions.
In fact, it might be a good idea to modify you definition of “winning at slots”. Instead of considering yourself a winner if you bring home a big profit, consider yourself a winner any time you played and had a lot of fun.
How Slots Work
All slot machines in modern casinos use a random number generator (an “RNG) to determine the results of each spin. An RNG is a tiny computer that does nothing but constantly generate numbers. When you push the spin button, that microcomputer selects a number which determines the outcome. In fact, this happens before the reels have even stopped spinning.
On modern slot machines, the reels are just there for show. From a practical standpoint, you could put a quarter in a machine, push a button, and have the screen flash: “You lose!” or “You win $10”. The mechanism that determined the outcome would be the same, but who would want to play a game like that, especially if you know that the house has a mathematical edge over the player.
The spinning reels, the sound effects, and the bonus games are all there to make the game more interesting to play. If you don’t like the artwork, the music, or any other aspect of a slots game, don’t bother playing it, because those are the real rewards of playing. The chance of getting lucky and winning a jackpot is a real reward, too, but don’t ignore the other aspects of the game.
The random number generator is programmed to pay back a certain percentage of the money paid into it over a period of time. This period of time is known in gambling math as “the long run”, and it’s a lot longer than most people think. We’re talking about tens of thousands of spins, not dozens or hundreds.
This percentage that’s programmed into these machines is always less than 100%. If a slots game were programmed to pay back more than 100% of the money put into it, it would lose money for the casino.
Casinos aren’t in business to lose money.
The trick is to find slot machines that have the highest payout percentages.
Which Slots Pay Back the Most Money
If every slot machine game in the world had a payback percentage posted on the machine somewhere, it would be easy to determine which slots pay back the most money. You could limit your play to machines with a payback percentage of over 95% for example.
It’s too bad casinos don’t provide that information on specific games, though.
You can find information about specific locations and their payback percentages, though. Some gambling guides and magazines publish this information. For example, The American Casino Guide provides certified information about the payout percentages in various states. Not all states reveal this information, but it’s not a huge leap of logic to expect better payback percentages in states that do reveal this information.
For example, the overall payback percentage for slots in Black Hawk, Colorado is 92.8%. In Central City, Colorado, it’s 92.93%, and in Cripple Creek, it’s 93.66%. Alabama doesn’t release the numbers on their payback percentages.
Which casinos do you think offer the better game?
A couple of guidelines hold true no matter where you play, though. One of those is that payouts are better in large cities with lots of gambling. For example, the payouts in Vegas are higher overall than the payouts in Colorado. And the payouts improve when you play for higher stakes. For example, penny slots in Vegas average around 88% to 91%, but dollars slots average between 93% and 96%. Finally, slot machines at airports usually offer the lowest payouts.
What does that mean for the player? It means that over the long run, if you wager $x on a particular game, you’ll win back $x times the payback percentage for that machine. If you’re playing a dollar slot machine on the Strip in Las Vegas, for example, and the payout percentage is around 93%, then if you place $10,000 in wagers, you’ll win back $9300. You lost $700.
Casino Odds On Slot Machines Win
That’s only a long term mathematical expectation, though. In the short run, anything can happen, and that’s what keeps people playing.
How to Maximize Your Winnings and Minimize Your Losses
There are three ways to maximize your winnings and minimize your losses. The first is to always join the slots club, and always use your member card while you play. Slots club members get a percentage of their play returned to them in the form of casino rewards and cash back. This is normally a tiny percentage (think 0.1% or 0.2%), but it adds up, especially if you play a lot.
Don’t buy into the myth that playing with your slots club card lowers your expected return on the game, either. That’s not true. The random number generator in these games has no way of knowing whether or not you’re using your slots club card or not.
Casino Odds On Slot Machines Free Play
The second way to increase your winnings and minimize your losses is to use effective bankroll management techniques. This means limiting the amount of time that you play, limiting the amount of money that you’re willing to lose in any session and in any given gambling trip, and finding other fun things to do with your time besides just playing the slots.
Finally, try to play the machines with the highest payout percentage. Over the long run, if you keep playing, you’ll probably eventually wind up a loser at the slots (unless you hit a huge progressive jackpot), but you’ll lose your money more slowly and get more entertainment value for the money you gambled.
by John Grochowski
At first glance, there’s a large gap – or is it a gaping chasm? – between slot machines and table games.
You can see cards being dealt and dice being rolled, but you can’t see random numbers being generated. That leads to the impression that slots can adjust on the fly, making sure players can’t win too much in ways that can’t be done with cards, dice or roulette wheels.
Nonetheless, slots and tables share common ground that makes them more similar than players realize. Both give the house an edge by paying less than true odds on winning bets. The casino share comes from losing bets, of course, but the winners don’t quite offset the losers because they’re paid at less than the true odds.
Not only that. Slots and table games both arrive at expected results through normal probability.
It’s that last part that gives many slot players trouble. They see that a slot game has an expected payback percentage – usually less than 90 percent on penny slots but more on higher denominations. And they hear that results are random.
That leads to the question, “How can slot results be both programmed and random? If there are big wins, doesn’t it take cold streaks to get back to the programmed percentage? That doesn’t sound very random to me.”
Some answers:
Slot Machines Don’t Work Like That
Game designers set the odds so that normal results will lead toward an expected average payback percentage.
That’s the same situation you face on a table game.
Take roulette. On an American double-zero wheel, the game is “programmed” with 38 possible results — 1 through 36 plus 0 and 00.The numbers come up randomly, and when you win on a single number, you’re paid at 35- 1 odds, a bit less than the true odds of 37-1. That gives the house an edge of 5.26 percent. That’s the same as saying a payback percentage of 94.74 percent.
There is nothing to keep your number from coming up two or three times in a row, and nothing that says it has to come up within several dozen spins or more. But given enough trials, the random results and the odds of the game will lead to something very close to roulette’s expected percentage.
Slots work the same way, except there are thousands of possibilities instead of 38. For regular play on the reels, randomly occurring numbers are programmed, each corresponding to a reel symbol. To make up an example, the programmer might write it so that every time the random number one shows up, the reel shows a jackpot symbol; with numbers two, three or four, it shows a seven, with numbers five through nine, a triple bar, and so on. The possibilities are programmed, but when they turn up is random, just as it’s random when a 17 turns up in roulette.
After a big win, the machine doesn’t go into makeup mode. Over a long period of time, normal results according to the odds of the game will yield a normal payback percentage, and your big win fades into statistical insignificance.
Just as when a table games designer sets the rules of a card, dice or wheel game, the slot programmer sets the possible outcomes, and the pay table gives you back a little less than the true odds of hitting the winners. You can hit several winners in a row, or none, for a number of spins.
Results are random, but over hundreds of thousands of plays they will lead to something very close to the programmed payback percentage.
Cold Streaks After Jackpots Are a Myth
Casinos are there for the long haul, and they know that normal results in line with the odds of the game will take care of the percentages.
Imagine you’re betting three coins at a time at a dollar machine with a top jackpot of 10,000 coins, and that the machine is programmed to pay 95 percent in the long run. We hit the jackpot on our first pull. How low must the payback be over the next 999,999 spins to bring the overall percentage back to 95 percent for 1 million reel spins?
Would you believe a drop to 94.7 percent would do it? And if those 999,999 spins brought 95 percent, the overall payback including that first jackpot would be only 95.3 percent.
Normal results bring the overall payback percentage into normal range. The game doesn’t have to force any cold streaks.
That’s the same situation table players face. If I’m playing craps, betting on 12 and collect 30-1 payoffs several rolls in a row as the shooter rolls an unusual number of boxcars, does the casino have to force other numbers to come up for a while to make up for my streak? Of course not.
Someone might congratulate me on a nice win, but operators know that the 35-1 odds against rolling 12 coupled with day after day after day of play and normal probability will lead my streak to fade into statistical insignificance.
On a roulette wheel, if red numbers come up half a dozen or more times in a row and the whole table is betting with the streak, does the casino panic? No, because normal probability will lead the streak to fade into statistical insignificance and the game will pay something close to its normal percentage.
There is no mechanism to force cold streaks after big wins on tables, nor is there any such mechanism on slots. Forced results on slots are illegal in all American jurisdictions. Results have to be random, just as they are on tables.
But odds of the game can be set so that winners are less frequent than losers, and winners pay at less than true odds. Slots work that way, and so do table games. That’s enough for random results to give the house its edge.
John Grochowski has been covering casinos and casino games for nearly 40 years. He is the author of six books and his work appears in newspapers, magazines and websites around the world.
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