Jason, It's not too hard to come up with an Average Multiplier given any single-strategy method. Since Vegasvpplayer specified an unmodified 9/6 JoB strategy that would be used on each play (and also later specified the set of multipliers), the normal JoB final hand probabilities that are produced by most VP software (like WinPoker) can be used to find the expected value of the multipliers.
In this case, multiply each multiplier by its probability and sum them:
12 x 0.011512207 Full House
+ 10 x 0.011014511 Flush
+ 7 x 0.011229367 Straight
+ 4 x 0.074448699 Trips
+ 3 x 0.129278902 Two Pairs
+ 2 x 0.217081644 High Pair, Quads, SF, RF
+ 1 x 0.545434669 Garbage
= 1.992126628
I guess it is a matter of opinion, but 99.1520% may not really be that close to optimal as strategies go.
There is another single-line strategy that yields 99.6379%, which goes after straights, flushes, and full houses more aggressively than unmodified 9-6 JoB strategy, while going after royals, straight flushes, and quads less aggressively than unmodified 9-6 JoB strategy.
Of course, I agree with what you and others have said elsewhere that a 7-tier strategy would produce an even better expected return. ~Rick
________________________________
From: Jason Pawloski <jpawloski@gmail.com>
To: vpFREE@yahoogroups.com
Sent: Sunday, September 18, 2011 1:39 AM
Subject: Re: [vpFREE] Re: Ultimate X
I'm very curious how you calculated the Average Multiplier? That is much
closer to 2 than I would have guessed it would be (and 99.1520% is much
closer to optimal than I would have guessed).
On Sat, Sep 17, 2011 at 12:27 AM, Rick E. Percy <ricke.percy@yahoo.com>wrote:
> **
>
>
> Return for 9/6 Jacks or Better Ultimate X is using an unmodified 9/6 JoB
> strategy: 99.1520%
>
> Average multiplier would be 1.992127
> times regular return 99.5439%
> divided by 2 to account for 10-coin
> bet instead of 5-coin bet.
>
> ________________________________
> From: vegasvpplayer <vegasvpplayer@gmail.com>
> To: vpFREE@yahoogroups.com
> Sent: Friday, September 16, 2011 9:42 AM
> Subject: [vpFREE] Re: Ultimate X
>
>
>
>
> --- In vpFREE@yahoogroups.com, Vegasvpplayer <vegasvpplayer@...> wrote:
> >
> > Anyone know what the return for 9/6 Jacks or Better Ultimate X is using
> an unmodified 9/6 JoB strategy? Thanks.
> >
> > Sent from my iPhone
> >
>
> Btw, the multipliers are different from those I've seen on 8/6 JoB.
>
> 2X
> 2X
> 2X
> 12X
> 10X
> 7X
> 4X
> 3X
> 2X
>
> [Non-text portions of this message have been removed]
>
>
>
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