--- In vpFREE@yahoogroups.com, "nightoftheiguana2000"
<nightoftheiguana2000@y...> wrote:
Draw poker can be split into two parts, the deal and then the draw.
So, calculate the variance of the deal, call it the dealt variance,
and then calculate the variance of the draw and call it drawn
variance. The drawn variance is hardest to calculate because there
are
lots of possibilites, however, you already know the total variance
of
the single line game. Total variance = dealt variance + drawn
variance, or in the
case of multiple draws based on the same dealt hand, dealt variance
plus (drawn variance/N). If you know Total variance for a single
line
game, and you solve for dealt variance,
Is calc dealt variance easier said than done?
then you know
drawn variance. Once you know drawn variance, you can then
calculate
the total variance of a multiplay game.
Steps:
1. Calculate total Variance of single line game
Ok, just to make sure we are communicating what is the formula. I
use Sum probability of hand *(payback of hand- expected value)^2 If
this is correct then your Google reference does answer this,but does
not address co-variance, dealt variance, and draw variance. In fact
most on line articles that I read don't even deal with video poker.
That is why I am looking for references.
2. Calculate dealt Variance of single line game
Ok, that is one of my question for which I asked for help and
hopefuly a reference.
3. drawn Variance = total Variance - dealt Variance
Ok, but most research I have done uses variance and co-variance but
maybe this is where I need help. I definitely need help learning to
calc co-variance
4. multiplay Variance = dealt Variance + (drawn Variance/N) where
N=number of drawn hands per dealt hand
Ok this is a BIGGY. I do NOT find that formula in any reference
that I have found on line. Either that or you have transposed it to
a form that I do not recognize. Reiterating, I am of the
impression that we can use variance and co-variance also. So if
possible would prefer to work with that.
Then finally how does one turn this number into the answer to the
question that I asked for 4900 pushes of the deal button at five
lines per push at 5 credits per line at 5c per credit = $1.25 so
that I would have the same amount of money at risk as if I were
playing 4900 games of single line 25c at full coin of 5. You said
that I had done the calc correctly for single line. Now if I can
get this answer, I can make a direct comparison of these sets of
conditions.
I figured if some one could tell me how to calc covariance, how to
use it to figure Total std dev (BY THIS I MEAN MULTIPLE LINES AT
MULTIPLE PUSHES OF THE DEAL BUTTON-----no I am not shouting, but
underling or italics are not possible on this forum). Then I could
taylor that info to other games and combinations and denominations.
Example:
1. fpdw total variance = 26
2. fpdw dealt variance = 3
3. fpdw drawn variance therefore = 26 -3 = 23
4. fpdw multiplay variance therefore = 3 + 23/N
Most of the references that I understood gave co-variance adnd total
variance per hand, at least that is my understanding. That is why I
concentrated on co-variance and total var. per hand rather than
dealt var. In WoO he uses n and n that appear to me to be two
different numbers and then references single variance and co-
varaince. I tried to follow his examples but got lost. So I asked
for help using variance and covariance. If it can only be explained
using dealt variance then lets start there.
Lastly vpFREE adm. I will take this off forum if you would like.
However there are three reasons for leaving it on forum.
1)It seems to pertain to vp more than rental codes, quality of
steaks, and some of the other off topic posts.
2)The results are scrutinized by others who may have a different
take on the subject (and I hope they will chime in if they do).
3)Or maybe more importantly, may have a different way of explaining
the
subject that finally lights up the scene. I am sure all have
experienced that where hearing it a differnt way suddenly breaks
through.
Skip your reply is appreciated, but am still trying to make the
calculations.
Your call Tom.
DWK