I've ran in to a problem when trying to calculate a certain probability for a slot machine.
The slot maching works as follows: It has five reels (columns) and three rows. Each reels consists of 100 different "tiles" and 7 different numbers. The numbers are 0,1,2,3,4,5 and 20. The numbers DO NOT occur with the same frequency so to get 5 1's is not the same as getting 5 0's (probability wise).
The question is: if the slot machine shows 3 or more of the number 20 you will get a bonus game. What is the probabilty of this happening?
I tried making a sort of binary table where a 20 represents a 20 showing up and an X means it didnt.The included picture shows what I mean.Event table
I am not certain this is the right way to go though. I might just be completely wrong.
Any help would be greatly appreciated!