There are still a handful of casinos who offer vintage coin-operated video poker or slot machines. The vast majority of casino machine games have been modernized with the TITO (Ticket In Ticket Out) system. Coin-operated games are now so vintage that The D no longer offers them in their 2nd-floor vintage casino. Last year The D added vintage. Listings of Jackpots Won: 2020: 2019: 2018: 2017: 2016: 2015: 2014: 2013: 2012: The listing will be cumulative and updated on the 1st and 15th of each month.
Some people might want to know how to find the payout percentage on a slot machine. Sadly, it’s not something that’s printed on most games — at least not here in the United States.
This post is for them.
Understanding this topic involves some rudimentary understanding of probability as it relates to casino gambling. You’ll need to understand three separate concepts thoroughly:
- Payback percentage
- House edge
- Return to player
This post explains each of those in enough detail that even a beginner should understand what they mean.
Some Basic Facts Related to Probability, the House Edge, Payback Percentage, and Return to Player
Probability is the branch of mathematics that deals with how likely an event is to happen. If you want to measure how likely you are to win a jackpot on a slot machine, probability is the way to figure that out.
But the word also refers directly to that likelihood.
In other words, if I say the probability of getting heads when I flip a coin is 50%, I’m not talking about that branch of mathematics. I’m talking about the actual statistical likelihood of that event.
You should understand a few things about probability in general.
Probability is always a number between 0 and 1. An event with a probability of 0 will never happen, and an event with a probability of 1 will always happen. The closer to 1 the probability is, the more likely the event is to happen.
Probability can be expressed multiple ways. It can be expressed as a fraction, a decimal, a percentage, or as odds. The probability of getting heads on a coin flip can be expressed as 1/2, 0.5, 50%, or 1 to 1.
An event’s probability is the number of ways it can happen divided by the total number of possible outcomes. When you’re discussing a coin toss, you have two possible outcomes. Only one of those is heads. That makes the probability 1/2.
The probability that an event will occur added to the probability that an event won’t occur always equals 1. Therefore, if you know the probability that something will happen, you also automatically know the probability that it won’t happen, and vice versa.
The house edge is a statistical measure of how much the house expects to win (on average, over the long run) from every bet you make on a game. The house edge is a theoretical number that accounts for the probability of winning versus the probability of losing AND the payout if you win.
Best Payout Slot Machine
All casino games carry a house edge. In the short run, it doesn’t matter much, but in the long run, it’s the most important thing.
If I say a game has a house edge of 4%, this means that over time, you should average a loss of $4 for every $100 you bet on the game. This is a long run statistical average, though. In the short run, you’re unlikely to see results that mirror the house edge.
The return to player and the payback percentage are the same thing. Some writers use one to refer to the statistical expectation and the other to refer to the actual results, but most writers use these terms interchangeably.
The payback percentage added to the house edge always equals 100%. The payback percentage is the amount of each bet that you get back, and the house edge is the amount of each bet that the casino wins. Again, these numbers are on average over the long run.
A game with a 4% house edge has a 96% payback percentage.
In the United States, slot machine payback percentages are impossible to calculate and not posted on gambling machines. To calculate the house edge or the payback percentage for a casino game, you need two pieces of data:
- The probability of winning
- The amount of money you’ll win (the payoff)
Slot machines include their payouts on their pay tables, but they don’t include the probability of achieving any of the winning outcomes.
In some countries, the payback percentage is posted on the machines, but not in the United States.
To make things even worse for a slot machine player, the random number generator program can be set differently even if the slot machine is identical to the one next to it. You could be playing The Big Lebowski slots at Choctaw Casino in Durant, Oklahoma, and your buddy could be playing the identical machine right next to you.
The payback percentage on his machine might be 94%, and the payback percentage on your machine might only be 88%.
The difference comes from how the probabilities are weighted for each symbol. On one game, the bars might show up 1/4 of the time, but on the next, they might only come up 1/8 of the time.
This has an obvious effect on the payback percentage.
The payback percentage would be easy to calculate if you knew the probabilities. The payback percentage is just the total expected value of all the possible outcomes on the machine.
Let’s assume you have 1000 possible reel combinations. Let’s also assume that if you got each of those in order, from 1 to 1000, you’d win 900 coins.
The payback percentage for that game would be 90%.
You’d put 1000 coins in, and you’d have 900 coins left after a statistically perfect sampling of 1000 spins.
If you knew the payback percentage and house edge for a slot machine game, you could predict your theoretical cost of playing that game per hour in the long run. You’d only need to multiply the numbers of bets you made per hour by the size of those bets. Then you’d multiply that by the house edge to get your predicted loss.
Most slots players make 600 spins per hour. Let’s assume you’re playing on a dollar machine and betting three coins on every spin, or $3 per spin. You’re putting $1,800 per hour into action.
If the slot machine had a 90% payback percentage, you’d lose $180 per hour on that machine. You’d have $1,800 at the start of the hour and $1,620 at the end of the hour — assuming you saw statistically predicted results.
In the real world, though, where you’d be seeing short-term results, you’d see some hours where you won and some hours where you lost. If you played long enough, the Law of Large Numbers would ensure that you’d eventually see the statistically predicted results.
But in the long run, the math will ensure that the casino will win a net profit.
How You Could Calculate a Payback Percentage Based on Actual Results
Of course, you have some data that you can directly observe when you’re playing slot machines.
But tracking this data and calculating the payback percentage on a specific session can add to your enjoyment of any slot machine game. It can make you more mindful because you’ll be paying more attention to what’s happening.
Here’s how to do it.
Start by tracking how many spins you’re making per hour. This is easy to do, but it takes more effort than you might think. It might help to get one of those clicky things people use to count stuff with. You will probably also need a stopwatch of some kind. I just use the timer function on my phone.
Make a note (mental is fine) of how much you’re betting per spin. It helps to bet the same amount.
Also note how much money you started with so that you can calculate how much you’ve won or lost. The slot machine will convert your money into credits. The easiest thing to do is to keep up with how many credits you had at the beginning of the session and again at the end of the session.
Now, let’s do the math using a hypothetical 45-minute session.
I made 300 spins in 45 minutes. I was betting $3 per spin, and I started with $600.
After my playing session, I had $500 left. At times I was up, and at times I was down.
But my net loss was $100. (My starting bankroll was $600, and I finished with $500.)
Over 300 spins, that means I lost an average per spin of 33 cents. $100 in losses divided by 300 spins is 33.33 cents per spin.
How much was I betting per spin?
Since I was playing a $1 machine, and my max bet was three coins, I was risking $3 per spin.
33 cents is 11% of $3, which means my actual loss was 11%. The machine paid back 89% for the session.
Does this mean that the payback percentage for the machine is 89%?
Probably not.
In the scheme of things, 450 spins is a small sample size. To have any confidence in your statistics, you really need to have at least 5,000 spins under your belt.
Even then, depending on how volatile the game is, your actual results might be wildly different from the mathematically expected payback percentage.
Here’s another example that will prove that point.
My friend Leo went to the Winstar last weekend and played the $5 slots. He started with $3,000, and when he left, he had $4,800, which means he had an $1,800 profit for the day.
He played for seven hours.
I’ve watched Leo play. He’s slow, but not much slower than average. He makes about 500 spins per hour.
This means that he made about 3,500 spins.
$1,800 in winnings divided by 3,500 spins is an average win of 51 cents per spin.
Since he was betting $5 per spin, his return was 10.3%.
His actual return for the trip on that slot machine was 110.3%.
I have friends who design slot machines for a living — more than one, in fact. They’ll be happy to tell anyone who asks that the algorithm is never set up to have a payback percentage of more than 100%.
Slot Machine Payouts By State
What About the Casinos That Advertise a Specific Payback Percentage?
Some casinos advertise a specific payback percentage. This is almost always stated as an “up to” number.
So you might see an ad for a casino that says, “Payback percentages up to 98%!”
They’re almost certainly telling the truth, too. They probably have one slot machine in their casino that has a payback percentage of 98%. Of course, it isn’t labeled, so you don’t know which one it is.
And in the short run, which is what you’re going to be playing in as an individual gambler, there’s not much difference between a 98% payback percentage and a 92% payback percentage. You could walk away a winner or a loser at either setting.
Also, keep in mind that the games aren’t designed to tighten up after a win and loosen up after a lot of losing spins. That’s not how it works at all.
The machines are designed to allow you to win a certain specific percentage of the time because of the probability. Then there’s an average amount that you’ll win based on the payout for the specific combination of symbols that you hit.
But every spin of the reels on a slot machine is an independent event. You can hit a jackpot on a spin, and your probability of hitting the jackpot on the next spin hasn’t changed at all.
What About the Denominations and Location Reports I See Advertised on the Internet?
You’ll find websites like Strictly Slots and American Casino Guide which post payback percentages for specific denominations and specific casinos. These are AVERAGES.
These averages have little bearing on the machine that you’re sitting in front of.
For example,
you might be looking at a casino that reports an average payback percentage of 94% on its dollar slot machines. That casino might have half their machines paying off at 90% and the other half paying off at 98%.
And you won’t be able to differentiate between the two because the hit ratio might be the same from one of those machines to another.
What Do Hit Ratio and Volatility Have to Do With It?
The hit ratio is the percentage of time that you can expect to hit a winning combination on a slot machine. Something like 30% isn’t unusual, but it can vary 10% or more in either direction. The casinos want you to a hit a winning combination often enough that you won’t lose interest in playing the game.
But hit ratio is only part of the equation. The average size of the prize amounts is also important. Volatility takes this into account. A game that hits less often but has higher average prize amounts might have the same payback percentage as a game that hits more often but with lower payouts.
Either way, in the short run, it will be all but impossible to discover this number, too.
If you wanted to, you could track how many spins resulted in wins for you and calculate the percentage, but you’re facing the same obstacle you are with the overall payback percentage of the machine.
You just don’t know what it’s programmed to accomplish in the long run.
Online Slot Machines
Some online casinos post the payback percentages for their slot machine games. I think this information is of limited use, but I also think it’s fairer to the gambler than not providing them with that information.
After all, table games are transparent. You can calculate the house edge for any casino table game there is because they all use random number generators with known quantities — cards, dice, and wheels.
There’s been a push to label food, both at the grocery store and at restaurants, with nutritional information that includes caloric amounts.
Requiring casinos to provide similar information about their gambling machines only makes sense.
We’ll see if it ever happens, though.
Conclusion
You can’t find the payout percentage on a slot machine — at least not in the United States.
I’ve heard that you can get this information on slot machines in Europe, but I’ve never seen an actual photograph of this kind of labeling.
You can, though, have some fun calculating actual payback percentages in the short run. This at least gives you something to keep track of while you’re playing slots, which is honestly one of the more mindless activities in the casino.
Knowledge makes you bet more effectively
by John Robison
Even though there are hundreds of different slot machines made by a variety of different manufacturers, all slot machines basically fall under one of six categories. The different types of machines have their own unique playing characteristics, and understanding these differences is important. For starters, knowing the type of machine you’re playing will help you to determine the number of coins you should play per spin.
Let’s look at the different types of machines you’ll find on the slot floor, how to recognize them, and some tips for betting smart.
Multiplier
This is the most common type of slot machine. Wild Cherry, Wild & Loose, Double Diamond, Triple Diamond, and Five Times Pay are all Multipliers. The paytable on a Multiplier is a table with one row for each winning combination and one column for each coin you can play. The worst payout you can get from a Multiplier is a push—that is, a return of the exact amount of money you bet on the spin.
Hit frequencies on Multipliers range from low to high, but they’re usually not as high as Multi-Line and Australian-style slot machines (we’ll get to these types of machines later).
“Multiplier” is the general category name. A machine is either a Straight Multiplier or a Bonus Multiplier.
Straight Multiplier machines pay you the same amount of money for each winning combination, for each coin you play. Each column in the paytable on a Straight Multiplier is the payout for one coin multiplied by the number of coins played. Two-coin Double Diamond machines, for example, are usually Straight Multipliers. You get 800 coins for three Double Diamond symbols when you play one coin at a time, and you get 1,600 coins, which is exactly 2 times 800, for three Double Diamond symbols when you play two coins at a time. Every other payout in the Coin #2 column is exactly twice that in the Coin #1 column.
Playing more than one coin per spin on a Straight Multiplier is a waste of your bankroll. You don’t activate any new winning combinations, so you don’t get an increase in hit frequency. You don’t get an increase in the per coin payout on any winning combination, so you don’t get an increase in long-term payback. Play one coin per spin on Straight Multipliers.
Bonus Multiplier machines pay you a bonus for playing full coin. The amount paid for the top jackpot, and sometimes the amounts paid for other winning combinations, are more than just a straight multiple of the number of coins played times the amount paid when playing one coin.
Three-coin Double Diamond machines are usually Bonus Multipliers. The jackpot you receive for lining up three Double Diamond symbols when playing full coin is 2,500 coins. That’s 100 coins more than the 2,400-coin jackpot this machine would pay if it were a Straight Multiplier.
Sometimes the bonus is quite large. A Red, White, and Blue machine, for example, pays 2,400 coins for hitting red, white, and blue sevens when playing one coin, and 4,800 coins when playing two coins. When playing three coins, however, the jackpot jumps to 10,000 coins. That’s a bonus of 2,800 coins for playing full coin.
It’s true that you have a higher long-term payback when you play full coin on a Bonus Multiplier. It’s also true that the combinations that pay a bonus hit so infrequently that even large bonuses lead to very small increases in long-term payback. Play one coin per spin on Bonus Multipliers. If the thought of missing out on a huge payout is too much for you to take, you’re better off playing a different game.
Buy-A-Pay
When you play Buy-A-Pay machines (sometimes called Buy-Your-Pay or Option-Buy machines), you must deposit full coin to activate all of the winning combinations. This feature takes many players by surprise, which is why Buy-a-Pay machines, such as the two-coin Sizzling 7s, have a bad reputation. Players who don’t read the paytable carefully often don’t understand why they didn’t get a payout for what they think is a winning combination. And quick-fingered players sometimes accidentally play less than full coin because they hit the Spin button without realizing that one of the coins they dropped, or one of their presses of the Bet One button, didn’t register.
The paytable on a Buy-A-Pay is divided into separate boxes, one for each coin you can play. The box labeled Coin #1 tells you the winning combinations and how much they’re worth when playing one coin. The box labeled Coin #2 tells you the additional winning combinations you buy when you play two coins at a time, and so forth.
The worst payout on a Buy-A-Pay can be less than a push. A winning combination can pay one coin and require two coins to be activated. Because a Buy-A-Pay can pay less than a push, it can have a higher hit frequency than a Multiplier. I’ve seen Buy-A-Pay machines on which the last coin paid over 100%, so I recommend always playing full coin on this type of machine.
There are very few pure Buy-a-Pays on slot floors today. Most of the games that have Buy-a-Pay aspects are what I call Hybrids.
Hybrids
These games are part Multiplier, part Buy-a-Pay. These machines usually take three coins, occasionally more, but never less. Sometimes the second coin multiplies the payouts from the first coin and the third coin buys new winning combinations. Sometimes the second coin buys the new winning combinations, and the third coin multiplies the payouts on the combinations bought with the second coin.
Blazing 7s is a Hybrid game. The first coin buys the Bar combinations. The second coin buys the 7 and Blazing 7 combinations. The third coin multiplies the payouts on the 7 and Blazing 7 combinations bought with the second coin.
Other Hybrid games are not as obvious. On some games, you can play a bonus game only when you bet full coin. On the old Silicon Gaming machine Banana-Rama, for instance, you’re eligible for the bonus game only when you play full coin. The third coin buys you the opportunity to play the bonus game. Similarly, you can spin the wheel on Wheel of Fortune only when you play full coin.
As with the pure Buy-a-Pay, the worst payout on a Hybrid can be less than a push. Hybrids can also have higher hit frequencies than Multipliers. And just as on the pure Buy-A-Pay, I’ve seen Hybrid machines with individual coins that paid over 100%, so I recommend playing as many coins as needed to activate all the winning combinations and make you eligible for all the bonus opportunities.
Next time, we’ll finish our look at the rest of the machine types you’ll find on the slot floor—and explain the smart ways to play them.