Slot Machine Possible Combinations To Play
Slot Machine Possible Combinations Win
Slot Machine Possible Combinations Game

Davita

A computer programmed slot machine game will normally have 3, 5, 6, and 7 main spinning reels. They open up a possible 20, 30, and 50 betting lines, increasing the chances of a big payout on any given spin, but also, of course, simultaneously increasing the amount that one can lose as well. Have you ever made every bet combination possible on a slot machine? I hope you enjoy this new episode called 'Push Every Button'.

Now, I now this is a rehash of<-- 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

miplet

Lots of threads on this. The one you link to plus:
http://wizardofvegas.com/forum/questions-and-answers/math/4639-scatter-math-question/
http://wizardofvegas.com/forum/gambling/slots/4596-looking-for-information-on-atkins-diet-5-reel-slot-machine-on-wizard-of-odds/
Ask any other questions you may have after reading all the posts in those threads.

AxelWolf

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.

♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪

Davita

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

Mission146

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.

Vultures can't be choosers.

JB
Administrator

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.

Davita

I see. Thank you very much, I'll go that way then. If I'll have any questions, I'll ask here if you don't mind :)

Davita

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?

Davita

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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

DRich

Thanks

Slot Machine Possible Combinations