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.
Jun 14, 2018 It’s not an easy task to know how to pick a winning slot machine. But there are many tips and tricks you should know. Read them all in this article and get ready to win REAL MONEY on slots.
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.
New slot machine players are going to find a lot of advice for beating the slots. Have a healthy skepticism when a slots expert tells you they know how to beat the slot machines. Among the games in a casino, video slots (in general) have a high house edge. Besides finding gaming machines with high jackpots and a low house edge, no skill or strategy is required to play slots. That means you can’t expect to increase your odds of winning in most situations.
Read through the advice below to optimize your chances of winning at slots. None of the advice assures winning sessions. Instead, it helps you stretch your bankroll, so you enjoy playing the slots longer. Also, the longer your bankroll lasts, the more chances you’ll have of hitting the big jackpot every slots player wants.
Use a Slots Card
Upon entering a live casino, sign up for a slots card. This provides comps and cashback, which automatically lowers the house edge by a bit. Never play a spin without using your slots card. In an online casino, accept the highest slots bonus and play according to the terms and conditions until you meet the wagering requirement. Once again, this lowers the house edge on online slots.
Make Max Bets
Look at the payout chart on a slot machine to determine how jackpots are paid. On many slot machines, the 5-coin bet pays out a higher percentage on the top fixed jackpot. For instance, a 1-coin bet might pay $200, a 2-coin bet might pay $400, a 3-coin bet might pay $600, and a 4-coin bet might pay $800. You might expect the 5-coin bet to pay $1000, but many slot machines pay out $1200 or $1500 in that case, trying to convince bettors to make the max bet.
If the jackpot increases a bigger percentage with a maximum coin wager, then it makes sense to make the max bet on a slot machine. If the bet size is too high for your tastes, then lower the coin denomination and make a max bet at that level. Of course, if there is no additional jump between the 4-coin and 5-coin bet, then you can wager a single coin and max out the coin denomination to the bet size you like.
Read the RTP Information
If an online casino or land-based casino publishes its return-to-player information, read through the RTP percentages to find the video slots with the best RTPs. Return-to-player or expected return is the percentage of a theoretical $100 you expect to see returned to you. It is a theoretical percentage based on probability, so an RTP of 95% does not assure you’ll be paid $95 for every $100 you put in the machine. You might lose $50 or you might win $150, or you might win a progressive jackpot and go home rich.
The point of the RTP percentage is to give a player an idea of their expected return. If two slot machines sit next to one another and one has an RTP of 93% and the other an RTP of 95% (and both have similar jackpots), then it pays to play the game with the higher percentage. Over time, this leads to you maintaining a higher percentage of your bankroll.
Money Management Techniques
Read about bankroll management techniques. “Money management” or “bankroll management” is a series of steps you take to lock on winnings when good luck happens and limit your losses when a bad streak occurs. These do not assure that you’ll win, but it optimizes your bankroll.
Players should know three core bankroll management methods: percentage betting, win goals, and loss limits. Learn to calculate your bankroll and divide this into percentages. Then bet between 1% and 5% of your bankroll on any given hand, depending on your capacity for risk. This limits the amount of your stake you lose on any given session, keeping you playing for longer throughout your vacation. It is a given that people go to the ATM machine or credit card when they lose their whole bankroll — which means you spend more than you intended. The point of percentage betting is to assure your bankroll last through your whole trip, so you never have to replenish.
What Is a Bankroll?
“Bankroll” is not defined as your entire bank account. It isn’t defined as your discretionary spending budget or the money you have earmarked for entertainment expenses. Instead, it is a part of your discretionary spending cash and entertainment budget which is set aside specifically for gambling. In this case, a bankroll is less than your entertainment budget.
Once you have your bankroll figured, divide this into easy to understand percentage. If you have a bankroll of $1000, then divide this into percentages. These are simple calculations, but you should have an understanding of 1%, 2%, 5%, 10%, and 20% of your bankroll. In the earlier example, 1% would be $10, while 2% would be $20. 5% would be $50, 10% would be $100, and 20% would be $200.
Now that you have these, decide whether to bet 1% to 5% of your bankroll. Most experts suggest betting no more than 1% to 2% in order to maintain your bankroll throughout your casino trip or online slots session.
Setting a Win Goal
Next, set your win goal. This is the amount of winnings you set as your goal for any given slots session. If you have a win goal of 10%, then your win goal would be $100 for any given slot machine sessions. As soon as you hit that goal, you walk away from the slot machine — no matter what. A win goal is a hard-and-fast rule, because it locks in winnings. One of the biggest mistakes players make is losing back their winnings, because they think they’re on a hot streak.
Setting a Loss Limit
Even more dangerous is trying to win back cash you just loss. To protect against this tendency, set a loss limit. Once again, make this your hard-and-fast rule. Typical loss limits can be 5%, 10%, 15%, or 20% — though 20% means you could lose the entire bankroll in 5 slots session. 10% to 15% is a good middle ground. Once you’ve lost that amount, walk away from the slot machine under all circumstances. The slots game is not “due” to pay out, so step away from the machine and clear your mind.
Win goals and loss limits guard against gambler’s fallacy. Gambler’s fallacy is the idea that the law of averages assures or weight the odds in your favor. Slots use random number generators and every spin is entirely separate from the previous spin. Losing the last spin does not make it more likely you’ll win the next spin. The odds stay the same, no matter how many wins or losses in a row you’ve had.
Avoid Progressive Betting
For that reason, avoid progressive betting systems like the Martingale system, D’Alembert system, Fibonacci system, and so on. Betting experts have used computer simulations to track the progressive betting methods against flat betting (same bet each spin). Flat betting beats all of the progressive betting schemes over 1 billion spins.
Progressive betting seems like it’s working, because it leads to a lot of small winning sessions. The problem is that it also has a handful of huge losing sessions which wipe out all the wins — and then some. You can’t beat the house edge with the Martingale system, however it might look to the naked eye. The Fibonacci numbers are incredible, but they are not a magical way to beat the casino.
The reason progressive bets are bad is they increase the size of your bets (in some systems exponentially). If you start with $5 or $10 bets, a streak of bad luck has you betting hundreds of dollars on one spin. That’s busts your bankroll and leads to a “risk of ruin” — meaning you’ll lose your whole bankroll if you hit a bad luck streak. No matter what you read online, flat bets are better.
Take Breaks for Rest and Refreshments
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Play when you are at your best physically and mentally. Don’t play when you’re tired or sleepy. Don’t play when you’re hungry or thirsty. Take frequent rest and restroom breaks. If you get bored, take a break and walk the casino. Play another game to change up the betting pattern.
When you are rested and engaged, you won’t have distractions that might lead to bad decisions. The idea is to have fun, so if anything is causing you to lose focus on the entertainment aspect of the game, walk away and save your bankroll.
Don’t Go on Tilt
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Tilt is a concept in poker where a player makes decisions based on emotional responses instead of solid strategy. It can cost a player a lot of money if they make bets based on anything but rational decisions. While going on tilt is not a concept in slot machine gambling, every game of chance has a personal component.
In short, don’t play when you’re agitated. Take stock of your inner thoughts. If your ego or anger is causing you to make irrational decisions, take a deep breath and calm down. If that doesn’t work, walk away and clear your head. It stinks to lose a series of bets, but what stinks more is to lose a series of bigger bets when you’re trying to make up for lost bankroll.
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