Appendices
Slots Analysis
Miscellaneous

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Introduction

Historically, slot machines have been one of the few casino games that were nearly impossible to analyze without inside information about how an individual game was programmed. Every other casino game is open about its rules so the odds are quantifiable. However, with slots, the player is at the mercy of unknown reel strips. The casino doesn't tell the player the distribution of symbols on the strips, nor how they are weighted for single-line slots. While that doesn't seem to bother most players, it bothers me.

In an effort to break this wall of secrecy, I recorded 212 spins of the game Jackpot Party on my cell phone. Then I went home and hand entered every outcome into a spreadsheet. Finally, I did the math to determine what I was up against. This page shows what I found.

Step One - Data Collection

I decided to study the game Jackpot Party because it is a simple design and typical of the way video slot machines work. The game is somewhat outdated as I write this, but I managed to find a 'classic' penny version at the Wynn on January 24, 2012. Armed with a cell phone camera, I played as fast as possible for eight minutes. I broke for lunch then returned to record another 10 minutes of play. The videos of my play can be found on YouTube:

Jackpot Party part 1
Jackpot Party part 2

When I returned home, I hired my brother in law to record, by hand, the three visible symbols on each reel for all 212 bets in the first video. It turned out that video was enough, and I didn't need the second one.

Step Two - The Reel Strips

To make a long story short, I found that there were only so many different combinations of three symbols on each reel, just as I suspected. To be specific, from the first video I noticed the following number of patterns for reach reel:

Reel 1: 26
Reel 2: 28 (one of these patterns occurs twice, so 29 total positions on the reel strip)
Reel 3: 26
Reel 4: 29
Reel 5: 26

The 212 spins in the first video were enough to ensure I saw every combination at least once. If I found there was a missing segment in the reel strips, I still had the second video to fall back on, but I never needed it.

The next step was like a jigsaw puzzle. I had to find how the different sequences of three symbols overlapped to form a complete reel. It took a few hours, but I eventually figured it out. A tricky part was that in reel 2 one sequence (blue 7-plum-orange) appears in two separate places.

The following table shows the result of many hours of labor, the complete reel stripping for Jackpot Party.

Jackpot Party Reel Strips

Position	Reel 1	Reel 2	Reel 3	Reel 4	Reel 5
1	Cherry	Orange	Bell	Bell	Watermelon
2	Wild Fruit	Bell	Cherry	Orange	Cherry
3	Green 7	Plum	Jackpot 7	Jackpot 7	Orange
4	Plum	Green 7	Watermelon	Wild Fruit	Bell
5	Cherry	Watermelon	Plum	Orange	Cherry
6	Blue 7	Orange	Cherry	Watermelon	Plum
7	Plum	Blue 7	Green 7	Cherry	Blue 7
8	Party	Plum	Orange	Blue 7	Orange
9	Green 7	Orange	Bell	Orange	Bell
10	Orange	Watermelon	Plum	Watermelon	Plum
11	Cherry	Jackpot 7	Watermelon	Plum	Party
12	Blue 7	Wild Fruit	Bell	Green 7	Green 7
13	Bell	Plum	Orange	Cherry	Cherry
14	Party	Orange	Cherry	Bell	Orange
15	Plum	Blue 7	Party	Green 7	Blue 7
16	Watermelon	Cherry	Bell	Plum	Party
17	Jackpot 7	Orange	Blue 7	Bell	Watermelon
18	Orange	Bell	Cherry	Orange	Cherry
19	Cherry	Jackpot 7	Wild Fruit	Plum	Blue 7
20	Wild Fruit	Cherry	Orange	Blue 7	Watermelon
21	Watermelon	Bell	Watermelon	Cherry	Orange
22	Orange	Plum	Bell	Watermelon	Bell
23	Plum	Cherry	Cherry	Jackpot 7	Green 7
24	Cherry	Green 7	Party	Plum	Plum
25	Bell	Orange	Watermelon	Watermelon	Wild Fruit
26	Green 7	Bell	Orange	Bell	Jackpot 7
27	Watermelon	Blue 7
28	Blue 7	Plum
29	Plum	Cherry

The way multi-line video slots work is they draw random numbers, one for each reel, to determine where on the reel strips to stop. In this case, the game would choose three random integers from 1 to 26 for reels 1, 3 and 5, and two random integers from 1 to 29 for reels 2 and 4. It would then map these random numbers to a position on on the reels.

For example, if the game chose the numbers 10,7,7,3,21 for reels 1 to 5 respectively, and mapped them to the position on the reels on the top row on the screen, then the screen would look like this:

The next table shows the total number of each symbol on each reel.

Jackpot Party Symbol Distribution

Symbol	Reel 1	Reel 2	Reel 3	Reel 4	Reel 5
Jackpot 7	1	2	1	2	1
Green 7	3	2	1	2	2
Blue 7	2	3	1	3	3
Bell	2	4	5	4	3
Wild Fruit	2	1	1	1	1
Watermelon	2	3	4	4	3
Plum	4	5	2	5	3
Orange	3	6	4	4	4
Cherry	5	3	5	4	4
Party	2	0	2	0	2
Total	26	29	26	29	26

Step Three - The Pay Table

The pay

Casino Games Jackpot Party