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### Slot Machines

```
Date: 5/29/96 at 11:8:37
From: Anonymous
Subject:Probabilities of Casino Games

We are two advanced math students doing a project on the probability
of slot machines.  How can we find out how to calculate the
probabilities and mathematical expectations of slot machines?
Jamie and Melissa.
```

```
Date: 6/21/96 at 10:58:40
From: Doctor Patrick
Subject: Re: Probabilities of Casino Games

Hi!

Before you can answer this you will need to do a little research on
slot machines. You will need to know how many different images are
being used to make matches, how many windows there are where these
images show up to be matched, how many of each type of image there are
(I bet that there are fewer of the images that pay off big money then
there are those that only give back what you put in), and what the
conditions are for winning.

Once you have this information, a good place to start would be to
figure out the total number of combinations that could come up, and
then see how many ways each of the winning combinations could be made.
The total combinations will be the number of images that could come up
in the first window times the number in the second window times the
number in the third window....  If there are the same number of
images in each window then your job will be easier since you could
use number of images raised to the power of the number of windows.  Do
you understand why you can do this?

Without knowing how the machines are set up, I'm not sure what to tell
you about figuring out how many times each winning combination will
come up.  If you get this information and write back, I'm sure someone

Good luck,

-Doctor Patrick,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Probability

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