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Deconstructing Blazing Sevens
Introduction
In my continued efforts to show the world how video slot machines work, I set out to deconstruct how Blazing Sevens was designed by playing it. There are lots of different "Blazing Sevens" games. The one I am referring to is the fivereel video slot. Armed with a cell phone camera, I recorded about 30 minutes of play. Unlike most video slots, Blazing Sevens has no bonus round. To analyze the game, all I needed to do was piece together the reel strips based on my videos and then do the math.
Step One  Data Collection
Much like games I previously deconstructed, Jackpot Party and Hexbreaker, I chose Blazing Sevens because it didn't involve bonus spins. The only mystery was the reel stripping. So I found a game in the Fremont in downtown Las Vegas and recorded 30 minutes of play. These videos can be found on YouTube:
 (10:07)
 (9:12)
 (10:04)
When I returned home, I asked for volunteers to record each sequence of three symbols on all five reels for every spin. I would like to thank Miplet for transcribing part 1 and ChesterDog for part 3. Those two videos I felt were sufficient.
Step Two  The Reel Strips
Then I tried to put together the order of the reel strips, based on the observed sequences of symbols. To make the reels balance and loop around, I assumed that some sequences appeared more than once on the same reel strip. These were chosen according to what completed the reels and which sequences occurred more frequently. The reel strips below I believe are very close approximations to the actual ones. However, due to repeating sequences, and a limited sample size of 617 spins, they are probably not exactly correct. I estimate that each reel may have about two incorrect symbols in terms of frequency.
The following table shows how often each threesymbol sequence appeared on each reel in videos 1 and 3. For example, the D71 (dollar, plain seven, 1bar) sequence appeared 14 times on reel 1.
My sidekick, JB, then wrote a program to assemble the combinations in order. It should be noted that given the sequences observed, multiple solutions are possible. The reel strips below are just one possibility. However, all of them would have the same expected return.
Blazing Sevens Reel Strips
Position  Reel 1  Reel 2  Reel 3  Reel 4  Reel 5 

1  2  D  7  7  2 
2  D  F  D  D  F 
3  1  B  B  2  3 
4  B  7  3  B  7 
5  2  D  F  3  B 
6  7  2  B  D  2 
7  D  B  2  7  F 
8  B  1  D  2  1 
9  3  7  B  B  7 
10  7  D  2  F  3 
11  2  1  7  3  B 
12  B  B  D  D  F 
13  1  2  B  F  7 
14  D  D  1  1  3 
15  3  3  D  7  F 
16  B  B  B  3  D 
17  2  D  F  F  B 
18  7  7  1  1  F 
19  3  1  D  B  2 
20  F  B  3  D  D 
21  2  2  B  2  B 
22  B  D  2  7  F 
23  3  1  7  B  1 
24  D  F  D  3  D 
25  7  D  F  F  B 
26  1  B  2  1  1 
27  B  F  B  B  F 
28  7  3  F  D  7 
29  3  D  D  1  B 
30  B  B  3  F  F 
31  D  2  B  3  2 
32  3  D  1  B  B 
33  7  3  7  1  7 
34  2  7  D  D  F 
35  B  1  1  7  2 
36  1  F  B  1  D 
37  D  2  7  B  3 
38  7  B  F  2  F 
39  3  F  D  D  B 
40  B  7  2  1  D 
Key:
F = Blazing seven
7 = Seven
D = Dollar sign
B = Bell
3 = 3bar
2 = 2bar
1 = 1bar
The way multiline 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 five random integers from 1 to 40, one for each reel. Suppose, for example, the game chose the numbers 24,24,37,11,4 for reels 1 to 5 respectively. Then assume the game maps these number to the top row seen on the screen. In this example, the screen would look like this:
The next table shows the total number of each symbol on each reel, based on the estimated reel strips above.
Blazing Sevens Symbol Distribution
Symbol  Code  Reel 1  Reel 2  Reel 3  Reel 4  Reel 5 

Blazing seven  F  1  5  5  5  10 
Seven  7  7  5  5  5  5 
Dollar  D  6  9  9  7  5 
Bell  B  9  8  9  7  8 
3bar  3  7  3  3  5  4 
2bar  2  6  5  5  4  5 
1bar  1  4  5  4  7  3 
Total  40  40  40  40  40 
Step Three  The Pay Table
The pay table is easily seen from the rule screens and game glass. Most video slots simply multiply all awards by the number of coins bet per line. Blazing Sevens is different. The first coin enables wins on the dollar, bell, and all bar symbols. The second coin enables wins on all types of sevens. The third coin doubles the wins on plain sevens and mixed sevens, and more than doubles the wins on blazing sevens. The following three tables show the pay table for 1, 2, and 3 coins bet per line respectively. All wins must be leftaligned.
Blazing Sevens Pay Table — 1 Coin Bet
Symbol  5 in a Row  4 in a Row  3 in a Row 

Blazing sevens  0  0  0 
Sevens  0  0  0 
Mixed sevens  0  0  0 
Dollar  100  50  20 
Bell  75  25  10 
3bar  300  150  30 
2bar  200  100  20 
1bar  100  50  10 
Mixed bars  30  10  5 
Blazing Sevens Pay Table — 2 Coins Bet
Symbol  5 in a Row  4 in a Row  3 in a Row 

Blazing sevens  7500  500  200 
Sevens  300  150  50 
Mixed sevens  200  80  25 
Dollar  100  50  20 
Bell  75  25  10 
3bar  300  150  30 
2bar  200  100  20 
1bar  100  50  10 
Mixed bars  30  10  5 
Blazing Sevens Pay Table — 3 Coins Bet
Symbol  5 in a Row  4 in a Row  3 in a Row 

Blazing sevens  20000  2000  500 
Sevens  600  300  100 
Mixed sevens  400  160  50 
Dollar  100  50  20 
Bell  75  25  10 
3bar  300  150  30 
2bar  200  100  20 
1bar  100  50  10 
Mixed bars  30  10  5 
Step Four  The Math
The next table shows the number of combinations for each possible win. In cases where two equal wins are possible, for example three 3bars or five mixed bars, the game counts it as the one composed of fewer symbols.
Blazing Sevens Line Pay Combinations
Symbol  5 in a Row  4 in a Row  3 in a Row  Total 

Blazing sevens  1,250  3,750  35,000  40,000 
Sevens  4,375  21,875  210,000  236,250 
Mixed sevens  111,875  200,000  960,000  1,271,875 
Dollar  17,010  119,070  641,520  777,600 
Bell  36,288  145,152  855,360  1,036,800 
3bar  1,260  11,340  88,200  100,800 
2bar  3,000  21,000  216,000  240,000 
1bar  1,680  20,720  105,600  128,000 
Mixed bars  509,184  1,188,096  2,545,920  4,243,200 
Total  685,922  1,731,003  5,657,600  8,074,525 
The next table shows the probability of each possible win. The values in each cell are the number of combinations from the table above divided by the number of combinations of 405 = 102,400,000. The lower right cell shows the hit frequency per line of 7.01%.
Blazing Sevens Probabilities
Symbol  5 in a Row  4 in a Row  3 in a Row  Total 

Blazing sevens  0.000012  0.000037  0.000342  0.000391 
Sevens  0.000043  0.000299  0.002393  0.002734 
Mixed sevens  0.001093  0.001587  0.006641  0.009320 
Dollar  0.000166  0.001163  0.006265  0.007594 
Bell  0.000354  0.001418  0.008353  0.010125 
3bar  0.000012  0.000111  0.000861  0.000984 
2bar  0.000029  0.000205  0.002109  0.002344 
1bar  0.000016  0.000202  0.001031  0.001250 
Mixed bars  0.004710  0.009771  0.020861  0.035342 
Total  0.006436  0.014792  0.048855  0.070084 
The next three tables show the expected return for each win, for one to three coins bet respectively. This is the (amount of the win)*(probability of win). The overall return is shown in the lower right cell of each table.
Blazing Sevens Returns — 1 Coin Bet
Symbol  5 in a Row  4 in a Row  3 in a Row  Total 

Win  5 in a row  4 in a row  3 in a row  Total 
Blazing sevens  0.000000  0.000000  0.000000  0.000000 
Sevens  0.000000  0.000000  0.000000  0.000000 
Mixed sevens  0.000000  0.000000  0.000000  0.000000 
Dollar  0.016611  0.058140  0.125297  0.200048 
Bell  0.026578  0.035438  0.083531  0.145547 
3bar  0.003691  0.016611  0.025840  0.046143 
2bar  0.005859  0.020508  0.037969  0.064336 
1bar  0.001641  0.010117  0.009469  0.021227 
Mixed bars  0.141553  0.103206  0.110578  0.355338 
Total  0.195934  0.244020  0.392684  0.832637 
Blazing Sevens Returns — 2 Coins Bet
Symbol  5 in a Row  4 in a Row  3 in a Row  Total 

Win  5 in a row  4 in a row  3 in a row  Total 
Blazing sevens  0.091553  0.018311  0.068359  0.178223 
Sevens  0.012817  0.032043  0.102539  0.147400 
Mixed sevens  0.218506  0.134277  0.175781  0.528564 
Dollar  0.016611  0.058140  0.125297  0.200048 
Bell  0.026578  0.035438  0.083531  0.145547 
3bar  0.003691  0.016611  0.025840  0.046143 
2bar  0.005859  0.020508  0.037969  0.064336 
1bar  0.001641  0.010117  0.009469  0.021227 
Mixed bars  0.141553  0.103206  0.110578  0.355338 
Total  0.518810  0.428651  0.739363  1.686824 
Blazing Sevens Returns — 3 Coins Bet
Symbol  5 in a Row  4 in a Row  3 in a Row  Total 

Win  5 in a row  4 in a row  3 in a row  Total 
Blazing sevens  0.244141  0.073242  0.170898  0.488281 
Sevens  0.025635  0.064087  0.205078  0.294800 
Mixed sevens  0.437012  0.268555  0.351563  1.057129 
Dollar  0.016611  0.058140  0.125297  0.200048 
Bell  0.026578  0.035438  0.083531  0.145547 
3bar  0.003691  0.016611  0.025840  0.046143 
2bar  0.005859  0.020508  0.037969  0.064336 
1bar  0.001641  0.010117  0.009469  0.021227 
Mixed bars  0.141553  0.103206  0.110578  0.355338 
Total  0.902721  0.649904  1.120223  2.672847 
Summary
The following table shows the gross return for (1) Dollars, Bells, and Bars, (2) All Sevens, and (3) Combined. The net return is the gross return divided by the number of coins bet. It shows the more the player bets per line, the greater the return, with a maximum return of 89.09%.
Blazing Sevens — Summary
Coins Bet 
Bar, $, Bell Return 
Sevens Return 
Gross Return 
Net Return 

3  0.832637  1.840210  2.672847  0.890949 
2  0.832637  0.876012  1.708650  0.854325 
1  0.832637  0.000000  0.832637  0.832637 
Disclaimer
If I didn't make myself clear above, I am not claiming this page is an exact depiction of Blazing Sevens. Due to repeating symbols, I had to make some judgment calls to fill in the blanks. As explained above, there are also different reel strip orders possible given what was observed at the machine.
Acknowledgments
I would like to thank miplet for doing the data entry on video 1 and ChesterDog for video 3. I would also like to thank JB for piecing together the 40 different sequences of three symbols for each reel into a complete reel strip, as well as for confirming my math was correct.
Internal Links
 My main slot machine page.
 Deconstructing Jackpot Party analysis of the video slot machine.
 Deconstructing Hexbreaker analysis of the video slot machine.
 Deconstructing Megabucks.
 Deconstructing the Atkins Diet slot machine. (PDF)
 Analysis of Lucky Larry's Lobstermania.
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