On the contrary, Lionfish is a simple 5-reel video slot with no bonus round. Data Collection5-Reel 20-Line Configurable Max Bet, The Lucky Lion Fish™ video slots game features an aquarium of colorfully animated sea creature symbols bubbling in a brilliant coral habitat and a frequent free spins bonus. I designed the Atkins Diet slot machine in 2008 for a speaking engagement at a conference on slot machines in Sydney, Australia. It was used as an example of how video slots, sometimes known as pokies, are designed. 50 Lions is a 5-reel slot game with symbols of the most magnificent wild animals living in the vast expanse of wild Africa. The game has 50 paylines and a number of bonus features including free spins.
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- Appendices
- Slots Analysis
- Miscellaneous
Introduction
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I designed the Atkins Diet slot machine in 2008 for a speaking engagement at a conference on slot machines in Sydney, Australia. It was used as an example of how video slots, sometimes known as pokies, are designed. I'll start with presenting the pay table and reel strips, and then I'll show the probability and return of the various ways to win.
Pay Table
The next table shows the Atkins Diet pay table. All wins must be left aligned. The Atkins symbol is wild and can substitute for any symbol except the scale.
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Atkins Diet Pay Table
Symbol | 5 in a row | 4 in a row | 3 in a row | 2 in a row |
---|---|---|---|---|
Atkins | 5000 | 500 | 50 | 5 |
Steak | 1000 | 200 | 40 | 3 |
Ham | 500 | 150 | 30 | 2 |
Buffalo Wings | 300 | 100 | 25 | 2 |
Sausage | 200 | 75 | 20 | 0 |
Eggs | 200 | 75 | 20 | 0 |
Butter | 100 | 50 | 15 | 0 |
Cheese | 100 | 50 | 15 | 0 |
Bacon | 50 | 25 | 10 | 0 |
Mayonnaise | 50 | 25 | 10 | 0 |
Reel Strips
The following are the reel strips for Atkins Diet.
Atkins Diet Reel Strips
Stop | Reel 1 | Reel 2 | Reel 3 | Reel 4 | Reel 5 |
---|---|---|---|---|---|
1 | Scale | Mayonnaise | Ham | Ham | Bacon |
2 | Mayonnaise | Buffalo Wings | Butter | Cheese | Scale |
3 | Ham | Steak | Eggs | Atkins | Steak |
4 | Sausage | Sausage | Scale | Scale | Ham |
5 | Bacon | Cheese | Cheese | Butter | Cheese |
6 | Eggs | Mayonnaise | Mayonnaise | Bacon | Sausage |
7 | Cheese | Ham | Butter | Cheese | Butter |
8 | Mayonnaise | Butter | Ham | Sausage | Bacon |
9 | Sausage | Bacon | Sausage | Steak | Buffalo Wings |
10 | Butter | Steak | Bacon | Eggs | Cheese |
11 | Buffalo Wings | Sausage | Steak | Bacon | Sausage |
12 | Bacon | Mayonnaise | Buffalo Wings | Mayonnaise | Ham |
13 | Eggs | Ham | Butter | Sausage | Butter |
14 | Mayonnaise | Atkins | Mayonnaise | Cheese | Steak |
15 | Steak | Butter | Cheese | Butter | Mayonnaise |
16 | Buffalo Wings | Eggs | Sausage | Ham | Eggs |
17 | Butter | Cheese | Eggs | Mayonnaise | Sausage |
18 | Cheese | Bacon | Bacon | Bacon | Ham |
19 | Eggs | Sausage | Mayonnaise | Buffalo Wings | Atkins |
20 | Atkins | Buffalo Wings | Buffalo Wings | Sausage | Butter |
21 | Bacon | Scale | Ham | Cheese | Buffalo Wings |
22 | Mayonnaise | Mayonnaise | Sausage | Eggs | Mayonnaise |
23 | Ham | Butter | Bacon | Butter | Eggs |
24 | Cheese | Cheese | Cheese | Buffalo Wings | Ham |
25 | Eggs | Bacon | Eggs | Bacon | Bacon |
26 | Scale | Eggs | Atkins | Mayonnaise | Butter |
27 | Butter | Buffalo Wings | Buffalo Wings | Eggs | Steak |
28 | Bacon | Mayonnaise | Bacon | Ham | Mayonnaise |
29 | Sausage | Steak | Butter | Sausage | Sausage |
30 | Buffalo Wings | Ham | Cheese | Steak | Eggs |
31 | Steak | Cheese | Mayonnaise | Mayonnaise | Cheese |
32 | Butter | Bacon | Steak | Bacon | Buffalo Wings |
Example Spin
Let's look at the following example spin.
Free fairy tale slots. The way multi-line video slots work is to pick one random number for each reel and map it onto the corresponding stop on the reel strip. Let's assume that the random number chosen designates where the reel will stop on the middle row. The symbols above and below will be those directly above and below on the reel strips.
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Random numbers of 27, 14, 3, 31 and 27, for reels 1 to 5 respectively, would have resulted in the example above. The following table shows the position on the reel strips where all 15 visible symbols fall on the screen.
Atkins Diet Reel Strips
Stop | Reel 1 | Reel 2 | Reel 3 | Reel 4 | Reel 5 |
---|---|---|---|---|---|
Top | 26 | 13 | 2 | 30 | 26 |
Middle | 27 | 14 | 3 | 31 | 27 |
Bottom | 28 | 15 | 4 | 32 | 28 |
It should also be noted that the reel strips wrap around. So, if the number chosen for the middle position is 1, then the top position would be 32. Likewise, if the middle position is 32, then the bottom position would be 1.
Symbol Distribution
![Lion Fish Slot Lion Fish Slot](https://www.oceanlight.com/photo/lembert-dome-tuolumne-meadows-09938.jpg)
The first step to calculating the return of a video slot is to count how often each symbol appears on each reel. The following table answers that question.
Atkins Diet Symbol Distribution
Symbol | Reel 1 | Reel 2 | Reel 3 | Reel 4 | Reel 5 |
---|---|---|---|---|---|
Atkins | 1 | 1 | 1 | 1 | 1 |
Steak | 2 | 3 | 2 | 2 | 3 |
Ham | 2 | 3 | 3 | 3 | 4 |
Buffalo Wings | 3 | 3 | 3 | 2 | 3 |
Sausage | 3 | 3 | 3 | 4 | 4 |
Eggs | 4 | 2 | 3 | 3 | 3 |
Butter | 4 | 3 | 4 | 3 | 4 |
Cheese | 3 | 4 | 4 | 4 | 3 |
Bacon | 4 | 4 | 4 | 5 | 3 |
Mayonnaise | 4 | 5 | 4 | 4 | 3 |
Scale | 2 | 1 | 1 | 1 | 1 |
Total | 32 | 32 | 32 | 32 | 32 |
Line Pay Math
There are 32 × 32 × 32 × 32 × 32 = 33,554,432 possible outcomes in Atkins Diet. The following table shows how many of these combinations result in each possible win. These figures are the result of a program with five nested loops that tallied the total for each win for each possible combination.
Atkins Diet Line Pay Combinations
Symbol | 5 in a row | 4 in a row | 3 in a row | 2 in a row | Total |
---|---|---|---|---|---|
Atkins | 1 | 28 | 513 | 1,024 | 1,566 |
Steak | 431 | 2,996 | 32,480 | 326,656 | 362,563 |
Ham | 955 | 5,157 | 42,112 | 315,392 | 363,616 |
Buffalo Wings | 764 | 5,348 | 58,464 | 430,080 | 494,656 |
Sausage | 1,595 | 8,613 | 54,432 | - | 64,640 |
Eggs | 956 | 6,692 | 52,864 | - | 60,512 |
Butter | 1,995 | 10,692 | 88,704 | - | 101,391 |
Cheese | 1,996 | 13,860 | 85,536 | - | 101,392 |
Bacon | 2,976 | 20,832 | 103,168 | - | 126,976 |
Mayonnaise | 2,980 | 20,860 | 128,736 | - | 152,576 |
Total | 14,649 | 95,078 | 647,009 | 1,073,152 | 1,829,888 |
The next table shows the probability of each possible win. This is the number of winning combinations for that win, shown in the table above, divided by the total number of combinations of 33,554,432. The total in the lower right cell reflects a hit frequency per line (probability of winning anything) of 5.45%.
Atkins Line Pay Probabilities
Symbol | 5 in a row | 4 in a row | 3 in a row | 2 in a row | Total |
---|---|---|---|---|---|
Atkins | 0.00000003 | 0.00000083 | 0.00001529 | 0.00003052 | 0.00004667 |
Steak | 0.00001284 | 0.00008929 | 0.00096798 | 0.00973511 | 0.01080522 |
Ham | 0.00002846 | 0.00015369 | 0.00125504 | 0.00939941 | 0.01083660 |
Buffalo Wings | 0.00002277 | 0.00015938 | 0.00174236 | 0.01281738 | 0.01474190 |
Sausage | 0.00004753 | 0.00025669 | 0.00162220 | - | 0.00192642 |
Eggs | 0.00002849 | 0.00019944 | 0.00157547 | - | 0.00180340 |
Butter | 0.00005946 | 0.00031865 | 0.00264359 | - | 0.00302169 |
Cheese | 0.00005949 | 0.00041306 | 0.00254917 | - | 0.00302172 |
Bacon | 0.00008869 | 0.00062084 | 0.00307465 | - | 0.00378418 |
Mayonnaise | 0.00008881 | 0.00062168 | 0.00383663 | - | 0.00454712 |
Total | 0.00043657 | 0.00283355 | 0.01928237 | 0.03198242 | 0.05453491 |
The next table shows the contribution to the return for each possible win. Each cell is the product of the probability, from the table above, and the pay table. The right cell shows a total return from line pays of 63.46%.
Atkins Diet Expected Returns
Symbol | 5 in a row | 4 in a row | 3 in a row | 2 in a row | Total |
---|---|---|---|---|---|
Atkins (wild) | 0.000149 | 0.000417 | 0.000764 | 0.000153 | 0.001483 |
Steak | 0.012845 | 0.017858 | 0.038719 | 0.029205 | 0.098627 |
Ham | 0.014231 | 0.023054 | 0.037651 | 0.018799 | 0.093734 |
Buffalo Wings | 0.006831 | 0.015938 | 0.043559 | 0.025635 | 0.091963 |
Sausage | 0.009507 | 0.019252 | 0.032444 | - | 0.061202 |
Eggs | 0.005698 | 0.014958 | 0.031509 | - | 0.052165 |
Butter | 0.005946 | 0.015932 | 0.039654 | - | 0.061532 |
Cheese | 0.005949 | 0.020653 | 0.038238 | - | 0.064839 |
Bacon | 0.004435 | 0.015521 | 0.030746 | - | 0.050702 |
Mayonnaise | 0.004441 | 0.015542 | 0.038366 | - | 0.058349 |
Total | 0.070029 | 0.159124 | 0.331651 | 0.073792 | 0.634597 |
Scatter Pay
The scale serves as a scatter pay symbol. The player gets credit for a scatter pay if it appears anywhere on the screen. Unlike line pays, scatters don't need to be left aligned or on an active pay line. To be fair, scatter pay wins are based on the total amount bet. The following table shows the number of scatters per reel, total symbols per reel, and the probability of a scatter on that reel, which is 3×(column 2)/(column 3). The reason for multiplying by 3 is there are three visible positions on each reel.
Atkins Diet Scatters per Reel
Reel | Scatters | Total Symbols on Reel | Scatter Probability |
---|---|---|---|
1 | 2 | 32 | 0.18750 |
2 | 1 | 32 | 0.09375 |
3 | 1 | 32 | 0.09375 |
4 | 1 | 32 | 0.09375 |
5 | 1 | 32 | 0.09375 |
The next table shows the probability and contribution to the return for 0 to 5 total scatter symbols. The lower right cell shows that the scatter pay feature returns 6.98% to the return of the game.
Atkins Diet Scatter Pay Probabilities and Returns
Scatters | Pays | Combinations | Probability | Return |
---|---|---|---|---|
5 | 100 | 486 | 0.000014 | 0.001448 |
4 | 25 | 20,898 | 0.000623 | 0.015570 |
3 | 5 | 353,916 | 0.010548 | 0.052738 |
Total | 33,554,432 | 0.011185 | 0.069756 |
Bonus
The player earns the bonus if he gets at least three scattered scales. The sum of the probability of 3 to 5 scales in the table above is 0.011185. During the bonus, the player will get ten free spins, and all wins are tripled.
In this game, free spins use the same reel strips as the base game. We have already shown that the expected line pay return is 0.634597 and the expected scatter return is 0.069756. So, if the win is tripled, then the expected win per spin is 3 × (0.634597 + 0.069756) = 2.113058.
Next, there is a rule that free spins can be won in free spins, infinitely. The expected number of total spins in a bonus is 10/(1-10×0.011185) = 11.259335.
So, with 11.259335 free spins, and an average win per spin of 2.113058, the expected final win per bonus is 11.259335 × 2.113058 = 23.791632.
The probability of winning the bonus in the first place is 0.011185, so the expected return per initial spin of the bonus feature is 0.011185 × 23.791632 = 0.266105.
Summary
The following table summarizes the three ways to win in the game. The bottom right cell shows an expected return of 97.046%. In other words, for every dollar the player bets, he can expect to get back 97¢.
Atkins Diet Summary
Item | Return |
---|---|
Line Pays | 63.460% |
Scatter | 6.976% |
Bonus | 26.610% |
Total | 97.046% |
Lucky Lion Fish Slot Download
More Deconstructions
Lion Fish Slot
I have deconstructed lots of slot machines. Here is a list of them:
- Deconstructing Jackpot Party analysis of the video slot machine.
- Deconstructing Lion's Share analysis of the classic MGM progressive game.
- Deconstructing Cleopatra analysis of the popular IGT game.
- Deconstructing Lionfish analysis of the slot game found on many Game Maker machines.
- Deconstructing Megabucks.
- Deconstructing the Atkins Diet slot machine.
- Deconstructing Lucky Larry's Lobstermania.
- Deconstructing Hexbreaker.
- Deconstructing Blazing Sevens.
- Deconstructing Hot Roll.
Internal Links
- Play Atkins Diet. Demo you can play for fun.
- Deconstructing the Atkins Diet Slot Machine. Earlier PDF version of this page.
- Slot machines main page.
- Appendix 4 shows how the return is calculated for my Wizard's Fruit Slot Machine.
- Appendix 5 analysis of the 21 Bell Slot Machine.
- Appendix 6 Analysis of Red, White, & Blue Slot Machine.
- Lock and Roll analysis of the skill-based slot machine found in North Carolina.
Written by: Michael Shackleford
Details and Slots Guy’s Review
About The Game
Want to feel like you are inside an aquarium, inside a casino? In this case, you want to play Lucky Lion Fish slots. This video slot machine is full of sea creatures, colorful coral, and of course, lots of money. As you begin to play this game from International Game Technology (IGT) you will realize that it offers much more than an exciting theme – there are many other features that have made Lucky Lion Fish slots so popular.
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The Details
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Lucky Lion Fish slot machines are configured with five reels and 20 paylines. This is to be expected as the game is part of IGT’s lineup of Game King video slots. How much do I have to bet to play Lucky Lion Fish slots? There is a starting denomination of one cent, with a maximum bet of 1,000 credits. If you are lucky enough to land five Lucky Lion Fish symbols on an active payline, with the maximum bet played, you can win the top award of 500,000 credits. For a penny game, Lucky Lion Fish slots payout a lot of money!
Shark Free Spins Bonus
The Shark Free Spins bonus is activated when three shark bonus symbols land on consecutive reels – they must be on an active payline. Your award is equal to the total of the bonus credits and sum of the free spins.
The free spins are played automatically on scatter reels. During the free spins you should expect increased bonus payouts. Along with this, you can win additional free spins; up to 200. The bonus round ends after you have played 200 free spins or you run out. Either way, you are sure to add to your winnings during the Shark Free Spins bonus.
With Lucky Lion Fish slots you get to swim undersea, win free spins, and hopefully chase down a huge jackpot!
My Experience
This is one of those games that doesn’t take itself too seriously. From the design of the sea critters, including kissing sea horses, to the goofy animations, this is a fun game to look at. But even more importantly, it is a fun game to play. Although payouts tend to come less often, they tend to be higher amounts. So if you are playing this game, don’t give up too soon. You may think it’s a dud, but a big win may be just around the corner. After putting about $40 into one of these machines I was about to walk away, but on my decided “last spin,” I turned a $2 bet into $180 when I triggered free spins. So don’t dismiss this “goofy” game.