Someone hit a jackpot on the machine you just left - so you would have won that jackpot if you kept.

• Just iterate through the possibilities, seeing which pays are possible, and picking the highest one (incrementing its combination count accordingly). Using only formulas for a 5-reel game is of course possible, but much more of a headache, when you can just write an analyzer once and reuse it for many games. Thanks for the info JB.
• Combinations on slot machine set Free Vector 2 years ago. You may also like. Golden, silver and bronze jackpot spinning machine. Casino game gamble vector element set. Black slot machine coins wins the jackpot. Big win casino concept.

Possible Combinations Problems

Now, I now this is a rehash of http://wizardofvegas.com/forum/questions-and-answers/gambling/6269-5-reel-video-slot-combinations-calculation/ <-- this thread, but I didn't really understand the magic behind combination calculation.
We have 5 reel, each of one with 32 symbols. Can anyone explain in laymen's term how to calculate each winning combination?
Thank you very much

do u understand that the number of symbols are not the key? its how often the symbols hit the paylines. You have to track that.

Thanks for the links. Actually, I'm looking for a scatter free game formulas. I'm trying to build a game with line winnings + wild. no scatters. That's why I'm looking how to calculate all possible winning combinations to calculate payrate. I'm a newbie here, so sorry if I'm asking something obvious.
Thanks

Okay, you said you have five reels and thirty-two symbols per reel.
Let's say you have cherries and you have Free Games, now, let's say you put four cherries on each of the first three reels, two cherries on the fourth reel and two cherries on the fifth reel. We're going to look at the probabilities per line bet, here, and we'll say that either three, four or five cherries pays.
The probability of hitting five cherries is:

Slot Machine Possible Combinations Game

1/(4/32 * 4/32 * 4/32 * 2/32 * 2/32) = 1 IN 131072.077846 (Obviously, this is ridiculous for five cherries, but I just picked some numbers off the top of my head for the reels)
The probability of hitting four cherries is the same, except the fifth thing is anything that is not a cherry:
1/(4/32 * 4/32 * 4/32 * 2/32 * 30/32) = 1 IN 8738.13333333
The probability of hitting three cherries is the same, except the fourth thing is anything that is not a cherry:
1/(4/32 * 4/32 * 4/32 * 30/32) = 1 IN 546.133333333
There would probably be more cherries than that, though, if cherries are the lowest-paying winning result.
Anyway, figuring something out like probabilities for a five-reel thirty-two assignment slot machine is pretty easy, really. You just figure out your Line Pays, Bonus Rules and then determine the probabilities using the number of stops.

Okay, you said you have five reels and thirty-two symbols per reel.
Let's say you have cherries and you have Free Games, now, let's say you put four cherries on each of the first three reels, two cherries on the fourth reel and two cherries on the fifth reel. We're going to look at the probabilities per line bet, here, and we'll say that either three, four or five cherries pays.
The probability of hitting five cherries is:
1/(4/32 * 4/32 * 4/32 * 2/32 * 2/32) = 1 IN 131072.077846 (Obviously, this is ridiculous for five cherries, but I just picked some numbers off the top of my head for the reels)
The probability of hitting four cherries is the same, except the fifth thing is anything that is not a cherry:
1/(4/32 * 4/32 * 4/32 * 2/32 * 30/32) = 1 IN 8738.13333333
The probability of hitting three cherries is the same, except the fourth thing is anything that is not a cherry:
1/(4/32 * 4/32 * 4/32 * 30/32) = 1 IN 546.133333333
There would probably be more cherries than that, though, if cherries are the lowest-paying winning result.
Anyway, figuring something out like probabilities for a five-reel thirty-two assignment slot machine is pretty easy, really. You just figure out your Line Pays, Bonus Rules and then determine the probabilities using the number of stops.

Correct me if I'm wrong, but this works only in this pattern CCCCX, where C = Cherry and X anything else. So the probability of CCCCX = 1 IN 8738.13333333, but XCCCC also is a win and has a different probability, which is =1/(28/32 * 4/32 * 4/32 * 2/32 * 2/32) = 18724.57143
so I guess to calculate the winning probability I should add 8738.13333333(CCCCX) to 18724.57143(XCCCC) wich would be 27462.70476?
Thanks again.
P.S. BTW, could you also please explain how line pay works? If I have a probability of winning say 4 cherries, how do I calculate how much to give back?

You're better off writing a program to analyze it, as there is less opportunity for error. This is especially true when, for example, 2 wilds pays more than 4 Aces, and you're studying Wild-Wild-Ace-Ace combinations. Just iterate through the possibilities, seeing which pays are possible, and picking the highest one (incrementing its combination count accordingly). Using only formulas for a 5-reel game is of course possible, but much more of a headache, when you can just write an analyzer once and reuse it for many games.

Thanks for the info JB. I'm quite familiar with software development, I've just have no idea how to do the analyzing part. Should it be done with brute force style? I mean, looking at each possible combination and picking the winners? Or is there a better way to do it?

Calculate Possible Combinations

Thanks again

Thanks for the info JB. I'm quite familiar with software development, I've just have no idea how to do the analyzing part. Should it be done with brute force style? I mean, looking at each possible combination and picking the winners? Or is there a better way to do it?
Thanks again

Just do brute force. A 5 reel with 32 symbols per reel should only take a fraction of a second to run through with modern computers.

No other segment of the gaming industry has benefited more from the technology revolution than the slot machine. Once considered the ugly stepdaughter placed on the gaming floor to appease the spouses of table players, the slot machine has been transformed into the fairy princess of the gaming world. With her, she has brought a dowry of riches no one would have imagined for the casino and a few lucky players as well. Over twenty years ago the slot machine accounted for 30 percent of the casinos' profits. Today it accounts for about 70 percent. Computer technology and the ability to play with little to no gambling knowledge makes it possible to offer life-changing jackpots big enough to turn a pauper into a king.

Slot Machine Possible Combinations Calculator

However, the fact that it doesn't take much gambling knowledge to play means that most people don't understand the inner working of the slots -- which makes it easy to explain a loss or a win with some false logic. Like any other 'wives tales' these are passed from person to person until they become gospel. Most of these myths and misconceptions are harmless but they can add to your frustration and take away some of the enjoyment of your casino visit. Let’s take a look at a few of the most popular myths and the truth behind them.

Myth #1

Someone hit a jackpot on the machine you just left -- so you would have won that jackpot if you kept playing.
This is probably one of the most common notions about slot machine gambling -- but it's patently false. The slot machines have a computer chip inside that runs the Random Number Generator (RNG). The RNG is continuously cycling through numbers even when the machine is not being played. These numbers correspond to the stops on the wheel that display the winning or losing symbols that you see when the reels stop. When you hit the spin button or pull the handle, the RNG picks the combination at that given microsecond. If you had stayed at the machine, it is highly unlikely that you would have stopped the RNG at the exact nano-second to display that same combination of numbers. In the time it takes to talk with a friend or sip your drink the RNG has cycled through thousands of combinations.

Myth #2

You can tell the odds of winning by counting the symbols on each wheel.
Actually, you can't. The RNG generates a number for each spin. There can be hundreds of virtual stops on each wheel even though you only see a few symbols. For example, you may see 20 symbols on each wheel of a three-reel machine. You figure 20 x 20 x 20 = 8,000 combinations and your chance of hitting the jackpot is 1 in 8000. In reality, the computer chip may program 256 stops for each wheel which makes the odds 256 x 256 x 256 =16,777,216 combinations. Being able to generate millions of combinations is the reason that slots can offer large paybacks.

Myth #3

Casinos can loosen or tighten the slot machines with the flip of a switch.
In actuality, the slot machines have a computer chip in them that determines the payback percentage. These are preset at the factory. In order for a casino to change the payback, they would have to change the chip. In most jurisdictions, there is paperwork that has to be filled and submitted to the Casino Control Commission for each machine if the chip is changed. It's time-consuming and the chips are very expensive. For this reason, it is more economical to decide on the payback percentages before purchasing the machines and having the factory ship them with the proper chip.

Myth #4

A machine that has not been paying out is due to hit.
There is no way to determine if a machine is due to hit. Each spin is a random occurrence and has no bearing on what has happened previously. Don't ever play more than you should because of this misconception -- it will be devastating to your bankroll if you do.

Slot Machine Possible Combinations Numbers

Myth #5

Slot Machine Possible Combinations Permutations

The temperature of the coins played will affect the way a machine pays.
Unfortunately, the machine is not affected by temperature. It doesn't matter if you play hot, cold, old or new coins. The coin slot is a mechanical device and has no feeling.

Myth #6

If you use your slot club card the machine will pay back less.
This may well be the most damaging myth of them all. There is no link between the card reader and the RNG, but by not using your player's card you are denying yourself valuable comps and sometimes cash back from the casino.