Your theoretical problem turns out to be "ill-formed" because as
stated, it
has too many degrees of freedom.
You say the paytables are not shown, but you
do not say that it is "Full Pay" deuces wild. Thus it could be any
version ,
even ones that are not well known. ( For example royal pays
10,000-1 ). Lets assume its one of the 20 most popular version of
deuces (
NSUD, FP DEUCES, AC Deuces, airport Deuces, double pay deuces,
triple pay
deuces, Rio deuces, deuces dlux, deuces delux with 4700 RF,
Illinois
deuces,....etc ). Every one of these games have an EV1.....EV20.
So far, so
good, however, some of the games are within .1 of each other - but
the EV's
can even be the same at this point. We now must decide what
strategy to play
the unknown game. A good place to start is using Full Pay Deuces
strategy
assuming that this is the game we are up against. Because of the
proximities
of the EV's, and you would have to have a cross reference chart to
see the
payback of FP deuces strategy vs ( EV1...EV20). Some of the
paybacks of
running strategy X against game Y may be very precise and this
riddle is
solvable IFF none of these EV delta's are exactly the same. You
have to
consider the smallest fractional difference of [EVRX - EVRY] and
base your
samples on that. You also have to factor in "perfect play". You
must assume
you make 0 mistakes , as players do periodically shift EV due to
physical
factors such as eye strain, key stickiness, etc. The rest is
statistics and
how close you want to approximate an answer. It most likely would
take
millions of hands to achieve a 99.99% confidence level.
Now one final note - Not all machines in the real world have
paytables
clearly displayed, but all real world machines tell you how many
coins you
WON - even old coin droppers which don't display credits. There is
a machine
at the Tropicana that says only "Jacks or Better" - no pay
schedule visible.
It turns out to be 9/6 Jacks but you really have to play long
enough to get
a full house and a flush to know for sure!
regards...Tom
Tom, of course your answer is procedurely and statisitcallly
correct. I concede that my hypothetical game could not be
effectively played to perfect play with out paytable knowledge and
thus not allow one to arrive at an answer. The whole point was to
drive a discussion regarding the inability to determine a difference
of a percent or two in EV without playing well over a million
hands. John Robison wrote an article on this very subject.
If you think that is a worthwhile subject for newcomers to this
group (and lets face it, most do not go back and read posts of a
year or so ago) then I would appreciate you helping to explain it to
a non-statistically oriented person.
If you do not feel that it is a subject worthy of further discussion
then just let a sleeping dog lie.
Thanks,
DWK
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--- In vpFREE@yahoogroups.com, "tomflush" <tomflush@n...> wrote: