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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.
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How Probability Works
https://championlucky.netlify.app/nokia-lumia-720-micro-sd-slot.html. 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.
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https://championlucky.netlify.app/meaning-of-lady-gaga-poker-face.html. 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.
Understanding slot machines is easy. They’re basically just a giant math equation. Casinos are so open about slot machines, they publish their own payback percentages in industry publications, and they often brag about the percentage that their machines pay back in a given month or year.
The most important odds to understand in slot machine gambling are a machine’s hit frequency and payback percentage. It’s impossible to ascertain the specific odds of winning on a given slot machine in today’s casinos, though. Gone are the days of 3 reels with 10 symbols per reel, when calculating the odds of hitting a given jackpot took little more than some back of the napkin multiplication. Still, hit frequency and percentage are easy to understand, and that information is easy to find.
Basic Slot Machine Odds
Now that random number generators power slot machines, the odds are more complicated. In the old days, figuring out your odds of winning on a slot machine meant dividing the total number of symbols by 1. If a slot has 3 reels and 10 symbols on each reel, the odds of one particular symbol appearing on the machine would be 9 to 1, or 9 losing symbols and 1 winning symbol. To figure out the odds of hitting 3 particular symbols (for a jackpot), multiply your chances of landing one symbol three times by itself. You have a 1/10 chance of pulling up a particular symbol. The odds of pulling up a given 3 reel combination are 1/1000. That can also be expressed as 999 to 1.
Back to the random number generator: you just can’t use simple multiplication to figure slot machine odds any more. Modern slot machines contain so many different symbols, reels, and winning combinations, that a purely mathematical approach is out of most people’s reach. Understanding a slot machine’s hit frequency and payback percentage are important because we can’t just sit there and figure out our odds by looking at the machine.
For example, with a modern slot machine, one symbol might appear one out of every twenty spins. A second symbol might appear one out of every ten spins. And a third symbol might be set to appear one out of every fifty spins. But there’s no way to determine the settings unless you have access to the slot machine’s PAR sheet, which is what sets these specifications in the random number generator program.
Slot Machine Hit Frequency
The term hit frequency applied to slot machines means an informed estimate of the ratio of losses to wins on a given machine. As the number of wins in the ratio increases, so does the slot’s hit frequency rate. Because of the variety of ways to win on modern machines, figuring out a slot’s hit frequency is somewhere between taking a mathematical average and making a guess.
One way to estimate a slot machine’s hit frequency is to play the machine 100 times and track the results. The cheapest way to do this is to find a nickel machine, pull the lever 100 times, and work out the ratio the hard way. Make a mark for every time during those 100 spins that you win, any win big or small.
What’s a good hit frequency? That depends on how much you’re looking to win and what kind of machine you’re playing, but most slot gamers consider any machine that pays out less than 10% of the time a bad machine.
To further complicate hit frequency, and to get a better overall idea of a machine’s odds, you can factor in the amount of winnings. Slot machines are often designed to pay out a lot of small winnings, so a hit frequency of 50% may seem like a loose slot machine, but if you’re only winning tiny amounts, you may want to move on down the line. On the other side of the coin, if a slot machine pays out only 9 or 10 times per 100 spins, but you win a ton of credits, you may be tempted to stay and press your luck for the big jackpots.
Slot Machine Returns
When you hear people talk about a slot machine’s return, they are referring to the percentage of money paid out by the machine compared to the amount of cash a gambler put into it. People who play slots at the tournament level keep track of these numbers and form strategies based on which machines to play at a given casino property.
To work out a return, you just need to do a little simple math. If you pumped $100 into a slot machine and at the end you’ve won $90 back, you just got a slot machine return of 90%. The casino kept $10 of your money for your troubles, but if that $100 kept you playing for an hour, you just had an hour’s entertainment for $10. That’s cheaper than going to the movies.
If you’re just a casual slot gamer, you don’t really need to keep track of slot machine returns. Casinos report their slot machine returns to local governments in most gambling jurisdictions, and those details and other figures are available to the general public. An easy way to stay on top of machine returns is to subscribe to Casino Player magazine or Strictly Slots magazine, where these numbers are published.
Slot Machine Payback Percentage
A final note on slot machine odds: don’t get too hung up on a slot machine’s payback percentage. Payback percentages are essentially made-up numbers, theoretical figures that make a guess about how much a particular machine will pay back to a gambler over time.
The trouble with payback percentage figures is that they’re developed from a pool of infinite spins. Think of payback percentage as slot machine returns in a vacuum. These numbers are used by game designers and casino managers and are not meant to inform gambling.
These numbers come from game manufacturers, who program a machine to return a theoretical amount to the customer. If a game designer advertises a slot’s payback at 95%, all that means is that over an infinite amount of time, the slot will pay back 95 cents for every dollar that is put in.
Best Odds Of Winning Slots
If you finished this article more confused than when you started, you’re in good company. Slot machines are straightforward gambling devices, little more than random numbers activated by a gambler. Still, modern technology has muddied the waters of actual slot machine probabilities, placing an emphasis on a game’s design and features rather than advertising it as a particularly player friendly machine.
Slot Machine Odds Percentage
Just because a game designer produces a machine that is programmed to pay back 90% of money put in doesn’t mean that you will always make $90 for every $100 gambled. At the same time, understanding slot machine odds and hit frequency can inform your choice of casinos.