gunbj
gunbj
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May 16th, 2018 at 11:22:05 AM permalink
Hi everyone,

I'd like to calculate the standard deviation per hour in dollars for a game, given the variance data. What I mean is a value that tells me how much money corresponds to 1 SD/h (+ or -). Any idea on how to do that?

Example can be $100 bet with 2.5 variance, 30 rounds/h.

Thanks
RS
RS
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gunbj
May 16th, 2018 at 11:33:31 AM permalink
https://wizardofodds.com/games/video-poker/appendix/3/

Examples given near the bottom.
ChesterDog
ChesterDog
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gunbj
May 16th, 2018 at 11:47:07 AM permalink
Quote: gunbj

Hi everyone,

I'd like to calculate the standard deviation per hour in dollars for a game, given the variance data. What I mean is a value that tells me how much money corresponds to 1 SD/h (+ or -). Any idea on how to do that?

Example can be $100 bet with 2.5 variance, 30 rounds/h.

Thanks




Variance is additive for uncorrelated events. So the variance for the sum of the outcomes of 30 bets each of variance 2.5 would be 30 * 2.5 = 75.

The standard deviation for the sum of those 30 $100 bets would be $100 times the square root of 75, which is about $866.
gunbj
gunbj
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May 16th, 2018 at 11:52:20 AM permalink
Thanks very much, it makes sense.
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