> > Yes, you're on the right track. The 134,459 figure is the
number of
> > 5-card hands that are distinguishable assuming all ranks are
>
> distinct
>
> > while all suits have equal priority. The payoff schedule isn't
>
> taken
>
> > into account when breaking down the hands into these 134,459
> > equivalence classes.
> >
> > Jeff Lotspiech mistakenly claims that all 134,459 patterns must
be
> > tested in order to guarantee that an optimal strategy is found,
but
> > that isn't true. When finding an optimal strategy, we really
only
> > care about the best possible draw for each hand -- the 31 other
> > ways to play the hand are irrelevant. You only have to look at
> > all 134,459 patterns if you need to attach some kind of
relevance
> > to the 31 sub-optimal draws.
> >
> > If you ignore suits completely, there are only 6175 hands that
> > can be distinguished based on rank pattern. But for 9/6 JoB,
> > where we only need to distinguish high ranks (AKQJ) from
> > low ranks (T98765432) there are only 28 hands that include
> > a pair or bigger group, and 16 patterns with 5 distinct ranks.
> > So, for draws to "grouped" hands, there are only 44 distinct
> > starting hands.
>
> Are these what I refered to earlier as hand "types"? E.g. Low
pair,
> High pair, 3 of a king, 4 of a kind, single high card, RF3, etc.
> including penalty situations?Perhaps. If you consider two hands to be the same type if and
only if the optimal draw gives the same probability distribution
Exactly. Thanks.
ยทยทยท
--- In vpFREE@yahoogroups.com, Steve Jacobs <jacobs@x> wrote:
On Wednesday 17 November 2004 08:46 am, rgmustain wrote:
> --- In vpFREE@yahoogroups.com, Steve Jacobs <jacobs@x> wrote:
for payoffs, then we're talking about the same thing.