Calculating the Standard Deviation of a Slot Machine
December 7th, 2009 at 5:59:47 PM
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Does anyone know the formula for calculating the SD of slot machine. Specifically the red white and blue example on the Wizzard of Odds website with a SD of 9.03 for 1 and 2 coins and 10.8 for 3.
https://wizardofodds.com/slots
Thanks in advance
JIM
https://wizardofodds.com/slots
Thanks in advance
JIM
December 8th, 2009 at 6:37:43 AM
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I get 10.8560991087 for three coin and 9.06179830482 for 1 or 2 coins so I might be wrong(maybe a rounding error).
First calculate the return. (.865761 for 1 coin).
Next for each line of the paytable take the pays and subtract the return and square that result. multply that number by the probiblity. Using one coin a getting Red 7, white 7, blue 7:
(2400 - .865761)^2 * 0.000004 = 23.0233
Then add up all these numbers.
Then take the squareroot. This is the Standard Deviation.
First calculate the return. (.865761 for 1 coin).
Next for each line of the paytable take the pays and subtract the return and square that result. multply that number by the probiblity. Using one coin a getting Red 7, white 7, blue 7:
(2400 - .865761)^2 * 0.000004 = 23.0233
Then add up all these numbers.
Then take the squareroot. This is the Standard Deviation.
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