Listening to Pharaoh´s music OR the chance to get 3 scatters

[maverick528]

Everybody in chat is talking about Free Spins lately, but the question is, what are the chances of getting free spins??.

In this post I will try to calculate the chance to get 3 scatters (but remember that if you get 4 or 5 scatters you will also get free spins, in another post I will later make the calculations for 4 and 5 scatters).

You can consider each column in the Slots game a window that allows you to see 3 elements out of a strip of paper with 30 symbols printed on it.

So the chance of getting a scatter on column 1 is 3/30 or 1/10 to simplify.

Column 5 is different cause it has 41 symbols printed on it, so the chance on that column is 3/41.

The chance of having 3 scatters on columns 1, 2 and 3 is 1/10 * 1/10 * 1/10 and this is 1/1000.

BUT we can also have 3 scatters in columns 1,2,4 1,2,5 1,3,4 1,3,5 1,4,5 2,3,4 2,3,5 2,4,5 and 3,4,5 , and any of this combinations is also good for listening to egyptian music and getting free spins.

In the end, there are 10 possible positions of 3 scatters in columns, with each one having a 1/1000 chance unless it includes column 5, so the TOTAL chance of getting 3 scatters is 4/1000 for the combinations that dont include column 5, and 18/4100 for the combinations including column 5, this is 0.839% chance. On average, you should get the 3 scatters every 119 rolls.

Of course , this is just an average, so you can get 3 scatters on consecutive bets, or it can take 1200 rolls or even more to get just one.

I havent verified this yet, so any comments or corrections are welcome !!!

Remember that you can also get free spins with 4 and 5 scatters and the chance for that combinations is not included here....

 

 

 

 

[wngo123]

3 scatters every 13 rolls? You mean every 113...that is more realistic

[maverick528]

5 hours ago, wngo123 said:

3 scatters every 13 rolls? You mean every 113...that is more realistic

the calculation was veeeery wrong, now I have corrected it ....

 

[GKD09]

I've been calculating the same ever since slots was out, and never really had time to make the post because of work  But yes I can confirm your calculation might be correct, since I got the exactly same value of 0.839024%. 

I will soon make my post too  Had some tough bits when it came to calculating the % of others, since you have many outcomes including the wild symbol. 

[maverick528]

And now, after having some rest for the mind, lets try to calculate the chance of getting 4 scatters.

4 scatters can happen in columns 1234, 1235, 1245, 1345, 2345. 

The 1234 combination has 1/10000 chance, all the other combinations that include column 5 have a chance of 3/41000, so the chance for getting 4 scatters is 12/41000+1/10000  and this is a 0.03927% chance of getting it. Once every 2547 rolls in average.

 

 

[maverick528]

To complete this topic, i know you were holding your breath waiting for the chance to have 5 scatters.

Well, here it is !!!

Its the more simple situation to make the calculations....

The chance of having a scatter in columns 1 to 4 is 1/10, and the chance to have a scatter in column 5 is 3/41, so the chance for getting 5 scatters is 3/410000, about once every 137000 rolls average. Not an easy task .....

 

[Ayesha0770]

Well I don't depend on scatter now. Instead of hunting 3 lines I look at my self and said: scatter 3 shows only when I reach thousand of rolls so I decided to hunt 3 lines instead of hunting 3 scatters 

[Dp10011]

Wow!!! Thanks for the clarification! After that, I think I'll rethink whether or not to play slots!

It is too high to get 3 minimum dispersions. And yet, it's still risky to hit a payout below 10x!

Good luck!  

[Django023]

Thanks for the calculation. I am a fan of slots and this is very useful information! Thanks mate

[Stokenut]

Ty for this, had been wondering how it worked

[Ali saher]

Ohh very nice calculation this is very helpful information for slot players