Golden Sevens Slot Machine

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About Golden Sevens

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  • Appendices
  • Slots Analysis
  • Miscellaneous

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 five-reel 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:

  • Blazing Sevens part 1(10:07)
  • Blazing Sevens part 2(9:12)
  • Blazing Sevens part 3(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 three-symbol sequence appeared on each reel in videos 1 and 3. For example, the D-7-1 (dollar, plain seven, 1-bar) sequence appeared 14 times on reel 1.

Gold Sevens Slot Machine

Blazing Sevens Sequence CountsExpand

Reel 1Reel 2Reel 3Reel 4Reel 5
SequenceCountSequenceCountSequenceCountSequenceCountSequenceCount
2B141B2D4027D381BD30F2D34
B27372D333B2735F1B30BF229
3B2291B2287DB3217D25DBF27
B1D28FDB21D3B263F1252F125
372277DF20F2B221D722BD222
72B27DBF201B7217B3212DB21
73B24BF719DBF21B2D217B221
3D723D7119FD321BF3207BF20
7DB217D2181D319D7220FBD20
D3721B1718B2D192BF19F1D19
1B720BF318D1B1971B19F3719
1D720DFB18B7F1872B19DB118
B7320F7D18DF2187D21973B17
F2B19371173FB173DF18F7317
BD3187D117DB117F171817316
27D17D2B17DB317F3D181DB16
71B17D3B171DB16B3D173FB16
D3B173DB163B116D27163FD16
B3715D1B16B1D16F3B167F216
B3D15F2B16D2716B3F15BF716
DB315FB716DB21627B14F7B16
1B2142D115FB2162B3142F315
B2D14B7D152BF152D114B1F15
D7114D1F152DB15D1F14B7F15
D731417D143B2153B113BF115
2D1132B114F1D1473F13D2F15
3F213BD7147DF13D17132B714
1D3122BF13B1713DF113F1714
3BD1271B13BFD131F312FDB14
D1B12F3D13FD213B1D121F712
2B3111FD127D112BD112B2F12
27393BD12BF112D7112F2B12
73F871F12B3F10173112D311
1F21117D83D71173F10
D37117FD8BD211D3F9
DB2111B2103BF7
D2B1037B6
Total617Total617Total617Total617Total617

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

PositionReel 1Reel 2Reel 3Reel 4Reel 5
12D772
2DFDDF
31BB23
4B73B7
52DF3B
672BD2
7DB27F
8B1D21
937BB7
107D2F3
112173B
12BBDDF
1312BF7
14DD113
1533D7F
16BBB3D
172DFFB
187711F
1931DB2
20FB3DD
2122B2B
22BD27F
23317B1
24DFD3D
257DFFB
261B211
27BFBBF
2873FD7
293DD1B
30BB3FF
31D2B32
323D1BB
3373717
3427DDF
35B1172
361FB1D
37D27B3
387BF2F
393FDDB
40B721D

Key:
F = Blazing seven
7 = Seven
D = Dollar sign
B = Bell
3 = 3-bar
2 = 2-bar
1 = 1-bar

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 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

SymbolCodeReel 1Reel 2Reel 3Reel 4Reel 5
Blazing sevenF155510
Seven775555
DollarD69975
BellB98978
3-bar373354
2-bar265545
1-bar145473
Total4040404040

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 left-aligned.

Blazing Sevens Pay Table — 1 Coin Bet

Symbol5 in a Row4 in a Row3 in a Row
Blazing sevens000
Sevens000
Mixed sevens000
Dollar1005020
Bell752510
3-bar30015030
2-bar20010020
1-bar1005010
Mixed bars30105

Blazing Sevens Pay Table — 2 Coins Bet

Symbol5 in a Row4 in a Row3 in a Row
Blazing sevens7500500200
Sevens30015050
Mixed sevens2008025
Dollar1005020
Bell752510
3-bar30015030
2-bar20010020
1-bar1005010
Mixed bars30105

Blazing Sevens Pay Table — 3 Coins Bet

Symbol5 in a Row4 in a Row3 in a Row
Blazing sevens200002000500
Sevens600300100
Mixed sevens40016050
Dollar1005020
Bell752510
3-bar30015030
2-bar20010020
1-bar1005010
Mixed bars30105

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 3-bars or five mixed bars, the game counts it as the one composed of fewer symbols.

Blazing Sevens Line Pay Combinations

Symbol5 in a Row4 in a Row3 in a RowTotal
Blazing sevens1,2503,75035,00040,000
Sevens4,37521,875210,000236,250
Mixed sevens111,875200,000960,0001,271,875
Dollar17,010119,070641,520777,600
Bell36,288145,152855,3601,036,800
3-bar1,26011,34088,200100,800
2-bar3,00021,000216,000240,000
1-bar1,68020,720105,600128,000
Mixed bars509,1841,188,0962,545,9204,243,200
Total685,9221,731,0035,657,6008,074,525

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

Symbol5 in a Row4 in a Row3 in a RowTotal
Blazing sevens0.0000120.0000370.0003420.000391
Sevens0.0000430.0002990.0023930.002734
Mixed sevens0.0010930.0015870.0066410.009320
Dollar0.0001660.0011630.0062650.007594
Bell0.0003540.0014180.0083530.010125
3-bar0.0000120.0001110.0008610.000984
2-bar0.0000290.0002050.0021090.002344
1-bar0.0000160.0002020.0010310.001250
Mixed bars0.0047100.0097710.0208610.035342
Total0.0064360.0147920.0488550.070084

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

Symbol5 in a Row4 in a Row3 in a RowTotal
Win5 in a row4 in a row3 in a rowTotal
Blazing sevens0.0000000.0000000.0000000.000000
Sevens0.0000000.0000000.0000000.000000
Mixed sevens0.0000000.0000000.0000000.000000
Dollar0.0166110.0581400.1252970.200048
Bell0.0265780.0354380.0835310.145547
3-bar0.0036910.0166110.0258400.046143
2-bar0.0058590.0205080.0379690.064336
1-bar0.0016410.0101170.0094690.021227
Mixed bars0.1415530.1032060.1105780.355338
Total0.1959340.2440200.3926840.832637

Blazing Sevens Returns — 2 Coins Bet

Symbol5 in a Row4 in a Row3 in a RowTotal
Win5 in a row4 in a row3 in a rowTotal
Blazing sevens0.0915530.0183110.0683590.178223
Sevens0.0128170.0320430.1025390.147400
Mixed sevens0.2185060.1342770.1757810.528564
Dollar0.0166110.0581400.1252970.200048
Bell0.0265780.0354380.0835310.145547
3-bar0.0036910.0166110.0258400.046143
2-bar0.0058590.0205080.0379690.064336
1-bar0.0016410.0101170.0094690.021227
Mixed bars0.1415530.1032060.1105780.355338
Total0.5188100.4286510.7393631.686824

Blazing Sevens Returns — 3 Coins Bet

Golden Sevens Slot Machine
Symbol5 in a Row4 in a Row3 in a RowTotal
Win5 in a row4 in a row3 in a rowTotal
Blazing sevens0.2441410.0732420.1708980.488281
Sevens0.0256350.0640870.2050780.294800
Mixed sevens0.4370120.2685550.3515631.057129
Dollar0.0166110.0581400.1252970.200048
Bell0.0265780.0354380.0835310.145547
3-bar0.0036910.0166110.0258400.046143
2-bar0.0058590.0205080.0379690.064336
1-bar0.0016410.0101170.0094690.021227
Mixed bars0.1415530.1032060.1105780.355338
Total0.9027210.6499041.1202232.672847

Golden 7s Slot Machine

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
30.8326371.8402102.6728470.890949
20.8326370.8760121.7086500.854325
10.8326370.0000000.8326370.832637

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

Golden Seven Slot Machine

  • 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.

Golden Sevens Slot Machine


Written by: Michael Shackleford