June 4th, 2023 at 2:06:48 AM
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In 9/6 JOB, the covariance is 1.966389 according to this Standard Deviation for Multihand Video Poker

Is it calculated by enumerating all possible dealt hands? Or how to calculate it? Thanks!

Is it calculated by enumerating all possible dealt hands? Or how to calculate it? Thanks!

June 4th, 2023 at 2:19:17 AM
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Quote:szaIn 9/6 JOB, the covariance is 1.966389 according to this Standard Deviation for Multihand Video Poker

Is it calculated by enumerating all possible dealt hands? Or how to calculate it? Thanks!

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Blessing the link.

May the cards fall in your favor.

June 6th, 2023 at 8:22:41 AM
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The covariance in video poker is the same as the variance on the deal; this is the part of the variance shared by all of the hands.

To get this variance, loop through all C(52,5) deal hands and calculate the EV of each hand. Calculate the variance of those EVs. For 9/6 JOB, I get 1.966388673520996, which corroborates the Wizard's work.

To get this variance, loop through all C(52,5) deal hands and calculate the EV of each hand. Calculate the variance of those EVs. For 9/6 JOB, I get 1.966388673520996, which corroborates the Wizard's work.

I heart Crystal Math.

June 6th, 2023 at 8:54:59 AM
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In order to calculate the covariance in n-play VP you first need to derive the probability pairs matrix for the given strategy, which is not easy.

June 9th, 2023 at 2:31:15 PM
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CrystalMath, thank you very much!

I got a very close number using your approach. 1.9663894301318172.

Your number seems to be the sum of the square differences divided by 2598960, not 2598960-1. Please correct me if I am wrong.

I got a very close number using your approach. 1.9663894301318172.

Your number seems to be the sum of the square differences divided by 2598960, not 2598960-1. Please correct me if I am wrong.

June 9th, 2023 at 6:10:05 PM
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Quote:szaCrystalMath, thank you very much!

I got a very close number using your approach. 1.9663894301318172.

Your number seems to be the sum of the square differences divided by 2598960, not 2598960-1. Please correct me if I am wrong.

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You’re welcome. Mine are all divided by 2598960. Since we are looking at every outcome, it’s the entire population, so we don’t need to subtract 1.

I heart Crystal Math.