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5 reel video slot Combinations calculation

August 13th, 2011 at 1:46:04 AM permalink
nbetter
Member since: Aug 13, 2011
Threads: 3
Posts: 7
Hi,

I am not sure I am posting to the correct thread (correct me if I am wrong)

Can anyone explain how Combinations are calculated for Atkins Diet Slot machine described here:
http://wizardofodds.com/play/slot-atkins/ and
http://wizardofodds.com/play/slot-atkins/atkinsdiet.pdf (page 3)

For example I cannot get it why Combinations of Atkins 4 in a row is 28 (I would assume it is 31) and 3 in a row is 513.
Can anyone explain the formula?

Also if possible on Page 5 there is a Bonus feature: How is Expected base win calculated to be 0.704353. I would assume it is the same as the normal win: on page 4 Total = 0.63460

Thank you very much.
August 13th, 2011 at 7:11:48 AM permalink
miplet
Member since: Dec 1, 2009
Threads: 3
Posts: 552
Read this thread.
August 13th, 2011 at 8:57:02 AM permalink
CrystalMath
Member since: May 10, 2011
Threads: 3
Posts: 476
The reel weights for Atkins, Steak, and total are as follows:

Atkins: 1 1 1 1 1
Steak: 2 3 2 2 3
Total: 32 32 32 32 32

What you are not taking into account is that four Atkins in a row with a Steak in position 5 will pay for 5 Steaks instead of 4 Atkins. So the hits are 1 * 1 * 1 * 1 * (32-1-3). In the last term, you see that I am eliminating getting a Steak or an Atkins.
I heart Crystal Math.
August 13th, 2011 at 6:35:16 PM permalink
CrystalMath
Member since: May 10, 2011
Threads: 3
Posts: 476
Quote: nbetter

Also if possible on Page 5 there is a Bonus feature: How is Expected base win calculated to be 0.704353. I would assume it is the same as the normal win: on page 4 Total = 0.63460


The base win in the bonus equals the line wins (0.63460) plus the scatter wins (0.069756) from page 4.

This is a rudimentary slot game, and a good place to start if you are learning to analyze slots.
I heart Crystal Math.
August 18th, 2011 at 7:14:08 AM permalink
nbetter
Member since: Aug 13, 2011
Threads: 3
Posts: 7
At the beginning I didn't understand why you eliminated only Steaks, but after reading more I understood that the rest 5x symbols just pay less than 4 Atkins.

Thank you very much both for the explanation.

 

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