How to Calculate a Slot Machine's Payout Percentage

Some people may want to know how to know the payout percentage on  slot machines. Sadly, that's not what's printed on most games - at least not  in the US.

This article is for them.

Understanding this topic requires a basic understanding of probability as it relates to casino games. You will need to fully understand three distinct concepts: 

1. Recovery rate
2. The edge of the house
3. Back to Player

This article explains each element in such detail that even a beginner can understand what they mean.  토지노솔루션임대

Some background information regarding probability, house edge, payback and return for players

Probability is a branch of mathematics that deals with the probability of an event occurring. If you want to measure the probability of winning a jackpot on a slot machine, probability is the way to determine it.

But the word also refers directly to this probability.

In other words, if I say that the probability of getting heads when I flip a coin is 50%, I am not talking about this branch of mathematics. I am talking about the actual statistical probability of this event. There are a few things you need to understand about probability in general.

Probability is always a number between 0 and 1. An event with  probability  0 will never happen and an event with  probability  1 will always happen. The closer  the probability is to 1, the higher the probability of the event occurring.

Probability can be expressed in many ways. It can be expressed as a fraction,  decimal,  percentage, or  odds. The probability of getting heads on a toss can be expressed as 1/2, 0.5, 50% or 1 to 1.

The probability of an event is the number of ways it can happen divided by the total number of possible outcomes. When  discussing a draw, you have two possible outcomes. Only one of them is facing. This makes the probability 1/2.

The probability of an event happening plus the probability of an event not happening always equals 1. So if you know the probability of something happening then you also automatically know the probability that an event will happen. that doesn't happen, doesn't create, and vice versa. .

The house edge is a statistical measure of how much the house is expected to win (on average, over the long run) for each bet you make on a game. The house edge is a theoretical number that represents the probability of winning versus the probability of losing AND the payout if you win.  All casino games have a house advantage. In the short term, it doesn't matter much, but in the long run, it is the most important.

If I say a game has a house edge of 4%, that means that over time you will lose an average  of $4 for every $100 you bet on that game.  In the short term, you are unlikely to get results that reflect the house advantage. Player return rate and recovery rate are the same. Some authors use one term to refer to  statistical expectations and the other to refer to  actual outcomes, but most authors use these terms interchangeably.

The rate of return added to the house edge is always  100%. The payback  is the amount  you get after each bet, and the house edge is the amount per bet  the casino wins. Again, these numbers are long-term averages. A game with a 4% house edge has a 96% payback.

In the United States, slot machine payback cannot be calculated and is not displayed on slot machines. To calculate the house edge or  payback of a casino game, you need two pieces of data:

1. Probability of winning
2. Amount you will win (win)

Slot machines include  payouts on their paytable, but they do not include the probability of hitting one of the winning outcomes.

In some countries the ROI percentage is displayed on the machine, but  in the US it is not.

To make matters worse for  slot machine players, the random number generator  can be set up differently even if the slot machine is the same as the one next to it. You may be playing The Big Lebowski slot machine at the Choctaw Casino in Durant, Oklahoma and your friend may be playing the same machine right next to you.  The recovery rate on his machine might be 94%, and the recovery rate on yours might just be 88%.

The difference comes from  the way the probability weights are calculated for each symbol. In one game the bars may appear 1/4 of the time, but in the next they may appear only  1/8 of the time.

This has a clear effect on the recovery rate.

The recovery rate is easy to calculate if you know the probabilities. The rate of return is just the total expected value of all  possible outcomes on the machine.

For example

Let's say you have 1,000 possible combinations of reels. Also, let's say that if you stack each of these items in order from 1 to 1000, you'll win 900 coins.

The payback  for this game will be 90%.

You will put in 1,000 coins  and you will be left with 900 coins  after a statistically perfect sampling of 1,000 spins.  If you know the payback  and house edge for a slot machine game, you can predict your theoretical hourly cost of playing  in the long run. You simply multiply the number of bets you make per hour by that number of  bets. You would then multiply that by the house edge to get your predicted loss.

Most slot machine players do 600 spins per hour. Let's say you're playing on a dollar machine and you bet three coins per spin, or $3 per spin. You invest $1,800 per hour.

If the slot machine has a 90% payback, you will lose $180 per hour on that machine. You will have $1,800 at the beginning of the hour and $1,620 at the end, assuming you get the statistically predicted outcome.

However, in the real world,  where you see short-term results, you see the hours  you win and the hours  you lose. If you play long enough, the law of large numbers will ensure that you will eventually get a statistically predicted outcome. This is how  casinos make  money. In short, sometimes you will win. This will allow you to continue playing.

But in the long run, these calculations will ensure that the casino will make a net profit.

How to calculate recovery percentage based on actual results

Of course, you have some data that you can observe directly while playing slot machines.

But tracking this data and calculating the payback percentage on a particular session can add to your enjoyment of playing any slot  game. It can make you pay more attention, because you'll pay more attention to what's going on. 카지노프로그램

Here's how to do it.

Start by keeping track of how many laps you complete per hour. This is very easy to do, but it takes more work than you  think. It might help to get one of those clickable items that people use to count things. You will probably also need a stopwatch. I only use the timer function on my phone.

Write down (mind is fine)  how much you bet per spin. It is useful to bet the same amount.

Also record how much  you started  so that you can calculate how much you win or lose. The slot machine will convert your money into credit. The easiest way is to keep track of how many credits you have at the beginning  and  end of the session.

Now let's calculate with a hypothetical 45-minute session.  I did 300 rounds in 45 minutes. I bet 3$ per spin and  started with 600$.

After the gambling session, I had 500 USD left. Sometimes I was up, and sometimes I was down.

But my net loss is $100. (My initial amount was $600 and I ended up with $500.)

Over 300 spins, which means I lose 33 cents on average per spin. A $100 loss divided by 300 spins equals 33.33 cents per spin.

How much did I bet per spin?

Since I'm playing on a $1 machine and my max bet is three cents, I risk $3 per spin.

33 cents is 11% of $3, which means my actual loss is 11%. The machine has refunded 89% for the session.

Does that mean  the ROI of the machine is 89%?

Sure is not.

In the scheme of things, 450 revolutions is a small sample size. To be confident in your stats, you really need to have at least 5,000 spins. Even then, depending on  the volatility of the game, your actual outcome could be very different from the mathematically expected rate of return.

Here is another example that will prove this point.

FOR EXAMPLE

My friend Leo went to  Winstar last weekend and played the $5 slot machine. He started with $3,000 and when he left he had $4,800 which means he made a profit of $1,800 on the day.

He played  seven hours.

I watched Leo play. It's slow, but not much slower than average. It makes about 500 revolutions per hour.

This means it has completed about 3,500 rounds.

$1,800 in winnings divided by 3,500 spins equates to an average win of 51 coins per spin.

Since he bets $5 per spin, his return is 10.3%.

His actual return for the ride on this slot machine is 110.3%.  I have friends who design slot machines for a living – more than one person, in fact. They will be happy to tell anyone asking that the algorithm is never set  to have a recovery rate greater than 100%.

What about casinos that advertise specific payback percentages?

Some casinos advertise  specific payback percentages. This is almost always the "maximum" number. For example, you might see  a casino ad that says "Up to 98% Return!" »

They almost certainly also tell the truth. They probably have a slot machine in their casino that has a return rate of 98%. Of course, it's not labeled so you don't know what it is.

And in the short term, when you're  playing  as an individual player, there's not much of a difference between a 98% recovery rate and a 92% recovery rate. You can be either a winner or a loser in some way. Also keep in mind that the game is not designed to tighten up after one win and relax after many rounds of losses. That's not how it works at all.

These machines are designed to help you  win a certain  percentage of the time due to probability. You will then win an average amount depending on the payout for the particular symbol combination  you hit.

But each spin on the  slot machine is an independent event. You can win the jackpot on one spin, and your probability of winning the jackpot on the next spin does not change.

What about denomination and location reports that I see advertised on the internet?

You will find sites like Strictly Slots and American Casino Guide that show payback percentages for specific denominations and specific casinos. This is the AVERAGE.

These averages have little effect on the machine  you're sitting in front of.  For example,

you might be looking at a casino that claims an average return of 94% on its dollar slot machines. This casino may have half of the machines paying  at 90% and the other half paying  at 98%.

And you won't be able to tell the difference between the two because the success rate can be the same between machines.

What does hit rate and volatility have to do with it?

The hit rate is the percentage of the time  you can expect to land a winning combination on the slot machine. Around 30% is not unusual but it can vary by 10% or more in either direction. The casino wants you to land a winning combination often enough that you don't lose interest in playing the game.

But success rates are only part of the equation. The average bonus amount is also important. Volatility takes this into account. A game with less frequent hits  but with a higher average payout can have the same payback  as a game with more frequent hits  but with a low payout. than.

Either way, it's almost impossible to find this number in the immediate future.

If desired, you can keep track of the number of spins you have won and calculate the percentage, but you will run into the same problem as with the machine's overall payback. You just don't know what it's programmed to achieve in the long run.

Online slot machines

Some online casinos display payback percentages of their slot machine games. I think this information is of limited use, but I also think it is fairer to the player than not providing this information.

After all, table games are transparent. You can calculate the house edge for any casino table game  because they all use a random number generator with a known number of numbers: cards, dice, and wheels. There has been a push to label foods, both in grocery stores and  restaurants, with nutritional information including calories.

It is perfectly reasonable to ask casinos to provide the same information about their slot machines.

However, we'll see if that ever happens.

Conclusion

You can't find  payout percentages on  slot machines – at least not in the US.

I heard  you can get this information on slot machines in Europe, but I have never seen an actual photo of this type of label. However, you can happily calculate the actual short-term rate of return. This at least gives you something to keep an eye on when playing slots, which is truly one of the craziest activities in a casino. 토토프로그램