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sachin
sachin
sachin
  • Threads: 1
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Joined: Oct 17, 2012
October 17th, 2012 at 12:15:55 PM permalink
I have a doubt regarding the # of hits decided i.e. the number frequency of a particular pay in a slot machine. Suppose, I have 100 prize amounts and a million tickets to assign any one of those prize amounts then what strategy should I adopt to calculate that # of hit frequency or as I can say # of particular prize amounts. Also how can one decide how many hits should be provided to a specific pay in a game if suppose the payout percentage is to be say 95%.

With regards
NickyDim
NickyDim
NickyDim
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Joined: Aug 17, 2012
October 17th, 2012 at 12:57:21 PM permalink
These will answer your questions.

link1
link2
"They who can give up essential liberty to obtain a little temporary safety deserve neither liberty nor safety."-Ben Franklin
tringlomane
tringlomane
tringlomane
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Joined: Aug 25, 2012
October 17th, 2012 at 2:01:58 PM permalink
Since apparently I'm bored, here are two examples for you that I created via trial and error on a spreadsheet. Both payouts return 95%, one of the machines has a hit frequency of 7.34%, the other, 8.59%. The first machine has a variance ~50% higher than the 2nd machine.

Machine 1: 7.34% hit frequency
Return 95.01%
Standard Deviation: 8.72 bets/spin


Payout Probability Inverse Prob. Return Variance
4000 0.000001 1000000 0.004 15.9924004388
2000 0.000002 500000 0.004 7.9924013415
1000 1.73913043478261E-005 57500 0.0173913043 17.3582745507
500 0.00002 50000 0.01 4.9810168928
300 0.00001 100000 0.003 0.8943086783
200 0.0001 10000 0.02 3.9620879422
150 0.0001 10000 0.015 2.2215885219
100 0.0005 2000 0.05 4.905445508
50 0.004 250 0.2 9.6235872522
30 0.002 500 0.06 1.6877982638
20 0.01 100 0.2 3.6290029131
10 0.0166666667 60 0.1666666667 1.3650241788
5 0.04 25 0.2 0.6560812175
0 0.926582942 1.0792341998 0 0.8363431667
Total 1 1 0.950057971 76.1053608662


Machine 2: 8.59% hit frequency
Return 95.00%
Standard Deviation: 7.19 bets/spin


Payout Probability Inverse Prob. Return Variance
4000 0.000001 1000000 0.004 15.9924011449
2000 1.33333333333333E-006 750000 0.0026666667 5.3282680315
1000 0.000004 250000 0.004 3.9924038522
500 0.00001 100000 0.005 2.4905093275
300 0.000005 200000 0.0015 0.4471546031
200 0.00003125 32000 0.00625 1.2381535801
150 9.09090909090909E-005 11000 0.0136363636 2.0196283212
100 0.0004 2500 0.04 3.9243634012
50 0.003125 320 0.15625 7.5184546023
30 0.0022222222 450 0.0666666667 1.8753428013
20 0.01 100 0.2 3.6290365455
10 0.02 50 0.2 1.6380609697
5 0.05 20 0.25 0.8201372728
0 0.9141092854 1.0939611007 0 0.8249310003
Total 1 1 0.949969697 51.7388454536
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