vpFREE2 Forums

Bob Dancer Blunders

I made a claim earlier that Bob had made some blunders in his
previous posts that I had overlooked. Given his decision to criticize
others on this forum I thought I should at least show everyone
exactly where he has made some mistakes.

1) In message 74845 Bob states "He got the two dealt hands and THEN
posed the "what are the odds?" question. Jerome's point (and mine)
is that this makes absolutely no mathematical sense."

The fact is that math has nothing to do with whether the information
derived from a mathematical calculation is useful or not. The math
for computing the odds of two consectutive events is PERFECT. It
seems Bob was trying to STRENGTHEN his argument by using the
term "mathematical sense". The only thing it accomplished, in my
opinion, was to show his lack of understanding.

2) In message 74815 Bob states "Doing these after-the-fact
calculations is meaningless. Last night I was dealt the 2h 3s 8h Jd
Kc (a 1-in-2,598,960 shot)".

The whole idea behind the thread was discussing the liklihood of
unusal hand TYPES occuring, not specific cards as Bob listed.
Essentially, his was and apples and oranges comparison. I have no
idea why he choose to reply to these posts unless he somehow thought
the posters were stupid and he needed to educate them. If that were
the case he should have at least kept with the theme and listed hand
types (two unsuited high cards in his example). Not only that, I
think understanding the mathematics behind VP is never "meaningless".
Any effort put forth that increases a players overall knowledge is a
good thing.

Dick

I don't consider either of what you've pointed out to
be "blunders". In formal mathematics, every expression is either
defined, postulated, or proven by theorem. I doubt "mathematical
sense" is defined or postulated in any branch of math.

Your objection seems to lie in the English meaning of the
expression, not any strict mathematical meaning. I think Bob's use
of 'mathematical sense' was a reasonable use with respect to his
argument that it is not particularly enlightening to calculate the
odds of a particular pair of hands occuring while ignoring the fact
that any two paricular hands is going to be a rare event.

The second "blunder" you mention is completely without merit, IMO.
I have to admit that I am biased, because I almost posted something
very similar to what Bob posted. Bob was just trying to show that
picking out 2 hands in a sequence of hands will always be a rare
event. In making that argument, it doesn't matter how similar or
disimilar those 2 hands are to the original "rare" hands.

IMO, by posting these as examples of "blunders", you have taken the
level of debate down a notch. However, I do agree with you and
others that the key yet-to-be-answered-by-either-side question is
how much do the simplifications of the Boyd strategy cost? If the
recent post by kiwiboy is accurate, the cost of holding J vs
JTsuited is about 0.015%. That is probably the biggest of the
differences from perfect strategy that Bob listed. If that figure
is correct, then the total cost of the Boyd strategy is probably
considerably less than Bob's 0.3%+ estimate. Once someone
calculates the actual EV of using the Boyd strategy, players can
make an intelligent decision about whether the simplifications are
worth the cost.

Dan Paymar's JOB strategy makes numerous simplifications. Yet
Paymar quotes jazbo as determining that the total cost is 0.01%.
That's the kind of info that would help end this discussion.

--Dunbar

I made a claim earlier that Bob had made some blunders in his
previous posts that I had overlooked. Given his decision to

criticize

others on this forum I thought I should at least show everyone
exactly where he has made some mistakes.

1) In message 74845 Bob states "He got the two dealt hands and

THEN

posed the "what are the odds?" question. Jerome's point (and mine)
is that this makes absolutely no mathematical sense."

The fact is that math has nothing to do with whether the

information

derived from a mathematical calculation is useful or not. The math
for computing the odds of two consectutive events is PERFECT. It
seems Bob was trying to STRENGTHEN his argument by using the
term "mathematical sense". The only thing it accomplished, in my
opinion, was to show his lack of understanding.

2) In message 74815 Bob states "Doing these after-the-fact
calculations is meaningless. Last night I was dealt the 2h 3s 8h

Jd

Kc (a 1-in-2,598,960 shot)".

The whole idea behind the thread was discussing the liklihood of
unusal hand TYPES occuring, not specific cards as Bob listed.
Essentially, his was and apples and oranges comparison. I have no
idea why he choose to reply to these posts unless he somehow

thought

the posters were stupid and he needed to educate them. If that

were

the case he should have at least kept with the theme and listed

hand

types (two unsuited high cards in his example). Not only that, I
think understanding the mathematics behind VP is

never "meaningless".

Any effort put forth that increases a players overall knowledge is

a

···

--- In vpFREE@yahoogroups.com, "mroejacks" <rgmustain@...> wrote:

good thing.

Dick

I don't consider either of what you've pointed out to
be "blunders". In formal mathematics, every expression is either
defined, postulated, or proven by theorem. I doubt "mathematical
sense" is defined or postulated in any branch of math.

This type of wording is often used to state whether or not the
mathematics itself (the computations) makes any sense. Not all
questions can be answered by math. I'm not sure where you're heading.

Your objection seems to lie in the English meaning of the
expression, not any strict mathematical meaning.

Of course it is. English is how we communicate. Bob "communicated"
that the MATH did not make sense. I countered with the fact that the
MATH makes perfect sense. You clearly disagree and that is fine but I
still think my interpretation is more accurate.

I think Bob's use
of 'mathematical sense' was a reasonable use with respect to his
argument that it is not particularly enlightening to calculate the
odds of a particular pair of hands occuring while ignoring the fact
that any two paricular hands is going to be a rare event.

Then we differ in our opinions. I think you are bending over
backwards to be kind. That is your choice. Most mathematicians tend
to be more strict in their interpretations of issues related to math.

The second "blunder" you mention is completely without merit, IMO.
I have to admit that I am biased, because I almost posted something
very similar to what Bob posted. Bob was just trying to show that
picking out 2 hands in a sequence of hands will always be a rare
event. In making that argument, it doesn't matter how similar or
disimilar those 2 hands are to the original "rare" hands.

I think you missed my point. The ongoing discussion was on hand
TYPES, not specific hands. Bob decided to argue that any specific
card combination is rare and therefore all discussion
is "meaningless". I beg to differ. Various hand TYPES have much
different probabilities. His example of two high cards occurs quite
often. While you and Bob may feel discussions of this nature aren't
worthwhile, my opinion is that any discussion where mathematical
intuition can be improved has merit. In any event I felt it was a
blunder to equate a specific card combination with the hand TYPES
that were being discussed and state that they were equivalent.

IMO, by posting these as examples of "blunders", you have taken the
level of debate down a notch.

Another matter of opinion. By criticizing Linda directly Bob has
decided that other forum members are fair game. I thought he should
feel what it was like when the shoe was on the other foot.

However, I do agree with you and
others that the key yet-to-be-answered-by-either-side question is
how much do the simplifications of the Boyd strategy cost? If the
recent post by kiwiboy is accurate, the cost of holding J vs
JTsuited is about 0.015%. That is probably the biggest of the
differences from perfect strategy that Bob listed. If that figure
is correct, then the total cost of the Boyd strategy is probably
considerably less than Bob's 0.3%+ estimate. Once someone
calculates the actual EV of using the Boyd strategy, players can
make an intelligent decision about whether the simplifications are
worth the cost.

Yes, the cost is much less than Bob's estimate. Especially when you
consider a couple of Bob's claims were wrong.

Dan Paymar's JOB strategy makes numerous simplifications. Yet
Paymar quotes jazbo as determining that the total cost is 0.01%.
That's the kind of info that would help end this discussion.

I'm still not sure anything can really end this debate short of a
massive controlled study or administrator intervention :wink:

Dick

···

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@...> wrote:

We disagree on whether any "blunder" was made in the example you
gave. However, if this is the best you can come up with to
illustrate a Bob Dancer "blunder", then IMO you have done more to
increase Bob's stature than reduce it.

--Dunbar

>
> I don't consider either of what you've pointed out to
> be "blunders". In formal mathematics, every expression is

either

> defined, postulated, or proven by theorem. I

doubt "mathematical

> sense" is defined or postulated in any branch of math.
>

This type of wording is often used to state whether or not the
mathematics itself (the computations) makes any sense. Not all
questions can be answered by math. I'm not sure where you're

heading.

> Your objection seems to lie in the English meaning of the
> expression, not any strict mathematical meaning.

Of course it is. English is how we communicate. Bob "communicated"
that the MATH did not make sense. I countered with the fact that

the

MATH makes perfect sense. You clearly disagree and that is fine

but I

still think my interpretation is more accurate.

> I think Bob's use
> of 'mathematical sense' was a reasonable use with respect to his
> argument that it is not particularly enlightening to calculate

the

> odds of a particular pair of hands occuring while ignoring the

fact

> that any two paricular hands is going to be a rare event.

Then we differ in our opinions. I think you are bending over
backwards to be kind. That is your choice. Most mathematicians

tend

to be more strict in their interpretations of issues related to

math.

>
> The second "blunder" you mention is completely without merit,

IMO.

> I have to admit that I am biased, because I almost posted

something

> very similar to what Bob posted. Bob was just trying to show

that

> picking out 2 hands in a sequence of hands will always be a rare
> event. In making that argument, it doesn't matter how similar

or

> disimilar those 2 hands are to the original "rare" hands.

I think you missed my point. The ongoing discussion was on hand
TYPES, not specific hands. Bob decided to argue that any specific
card combination is rare and therefore all discussion
is "meaningless". I beg to differ. Various hand TYPES have much
different probabilities. His example of two high cards occurs

quite

often. While you and Bob may feel discussions of this nature

aren't

worthwhile, my opinion is that any discussion where mathematical
intuition can be improved has merit. In any event I felt it was a
blunder to equate a specific card combination with the hand TYPES
that were being discussed and state that they were equivalent.

>
> IMO, by posting these as examples of "blunders", you have taken

the

> level of debate down a notch.

Another matter of opinion. By criticizing Linda directly Bob has
decided that other forum members are fair game. I thought he

should

feel what it was like when the shoe was on the other foot.

> However, I do agree with you and
> others that the key yet-to-be-answered-by-either-side question

is

> how much do the simplifications of the Boyd strategy cost? If

the

> recent post by kiwiboy is accurate, the cost of holding J vs
> JTsuited is about 0.015%. That is probably the biggest of the
> differences from perfect strategy that Bob listed. If that

figure

> is correct, then the total cost of the Boyd strategy is probably
> considerably less than Bob's 0.3%+ estimate. Once someone
> calculates the actual EV of using the Boyd strategy, players can
> make an intelligent decision about whether the simplifications

are

> worth the cost.

Yes, the cost is much less than Bob's estimate. Especially when

you

consider a couple of Bob's claims were wrong.

>
> Dan Paymar's JOB strategy makes numerous simplifications. Yet
> Paymar quotes jazbo as determining that the total cost is

0.01%.

···

--- In vpFREE@yahoogroups.com, "mroejacks" <rgmustain@...> wrote:

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@> wrote:
> That's the kind of info that would help end this discussion.

I'm still not sure anything can really end this debate short of a
massive controlled study or administrator intervention :wink:

Dick

I say, throw 'em on the table and let's see
who has the bigger pocket protector.

···

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@...> wrote:

We disagree on whether any "blunder" was made in the example you
gave. However, if this is the best you can come up with to
illustrate a Bob Dancer "blunder", then IMO you have done more to
increase Bob's stature than reduce it.

--Dunbar

We disagree on whether any "blunder" was made in the example you
gave.
--Dunbar

···

--In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@> wrote:

=====================================================
In vpFREE@yahoogroups.com, "worldbefree22001" <krajewski.sa@...> wrote

I say, throw 'em on the table and let's see who has the bigger pocket
protector.

========================================================
Hi Dennis!

A few more funnies like the above, and we'll begin to call you,
JT worldbefree!

Thanks for injecting a bit of humor into the thread!

~Babe~

I think this is Paymar's strategy:

5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SF0>AKQJ>2RF2H>4STi3H>3FS1>KQJ>2H>2RF>1H>3SF2

FVP says 99.538064% var 19.57

wizard lists computer perfect at 99.543904%
http://wizardofodds.com/videopoker/tables/jacksorbetter.html

FVP can't do penalty cards so can't do Dancer type strategies.

···

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@...> wrote:

Dan Paymar's JOB strategy makes numerous simplifications. Yet
Paymar quotes jazbo as determining that the total cost is 0.01%.
That's the kind of info that would help end this discussion.

Your welcome to your opinion. I happen to disagree. I'm more than happy
to let others make up their own minds based on what has been presented.
Let's leave it at that.

Dick

···

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@...> wrote:

We disagree on whether any "blunder" was made in the example you
gave. However, if this is the best you can come up with to
illustrate a Bob Dancer "blunder", then IMO you have done more to
increase Bob's stature than reduce it.

--- In vpFREE@yahoogroups.com, "worldbefree22001" <krajewski.sa@...>
wrote:

I say, throw 'em on the table and let's see
who has the bigger pocket protector.

Is bigger always better? :slight_smile:

Don the Dentist

I think the thickness of the glasses should be a major consideration. I
was going to say the messiness of the hair but that seems to be the
style these days ... finally, I'm hip :slight_smile:

···

--- In vpFREE@yahoogroups.com, "dds2124" <dds6@...> wrote:

--- In vpFREE@yahoogroups.com, "worldbefree22001" <krajewski.sa@>
wrote:
>
> I say, throw 'em on the table and let's see
> who has the bigger pocket protector.

Is bigger always better? :slight_smile:

Night wrote: I think this is Paymar's strategy:

5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SF0>AKQJ>2RF2H>4STi3H>3FS1>KQJ>
2H>2RF>1H>3SF2

FVP says 99.538064% var 19.57

Paymar has different strategies in his Precision Play rules and his
appendix in the back. The appendix strategy, which you summarize, is far
more accurate than his Precision Play rules. It is his Precision Play
rules that he claims Jazbo has "certified" as being within 0.01%.

Bob Dancer

For a 3-day free trial of Video Poker for Winners, the best video poker
computer trainer ever invented, go to //www.videopokerforwinners.com

···

-----Original Message-----
From: vpFREE@yahoogroups.com [mailto:vpF…@…com] On Behalf
Of nightoftheiguana2000
Sent: Friday, June 22, 2007 1:09 PM
To: vpFREE@yahoogroups.com
Subject: [vpFREE] Re: Bob Dancer Blunders

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@...> wrote:

Dan Paymar's JOB strategy makes numerous simplifications. Yet
Paymar quotes jazbo as determining that the total cost is 0.01%.
That's the kind of info that would help end this discussion.

wizard lists computer perfect at 99.543904%
http://wizardofodds.com/videopoker/tables/jacksorbetter.html

FVP can't do penalty cards so can't do Dancer type strategies.

vpFREE Links: http://members.cox.net/vpfree/Links.htm

Yahoo! Groups Links

I say it's how many ball point pens are in that pocket protector!

···

--- In vpFREE@yahoogroups.com, "dds2124" <dds6@...> wrote:

--- In vpFREE@yahoogroups.com, "worldbefree22001" <krajewski.sa@>
wrote:
>
> I say, throw 'em on the table and let's see
> who has the bigger pocket protector.

Is bigger always better? :slight_smile:

Don the Dentist

If that's the criterion then I would lose bigtime. I only used pencils.
Otherwise, I'd have destroyed stacks of paper crossing stuff out.

···

--- In vpFREE@yahoogroups.com, "wpbacker" <wpbacker@...> wrote:

I say it's how many ball point pens are in that pocket protector!

Well Mroejacks you have certainly been articulate in making Linda
Boyd's case and have done so at great length, and with many
postings. That has kept this whirlwind alive just when we thought it
was going to die out when Linda said she wouldn't say anything else
on the topic. Still I want to take you to task for something that I
am also going to also fault Linda Boyd for as well and that is for
not having a calm temperment. There were a number of other posters
who have all posted on behalf of Linda who used the same type of
tone, come to think of it I'm going to fault them as well. I think
it is usefull to have discussions of this sort but lets do them in a
calm and objective manner. I don't like to see this space turned
into a lynch mob where everyone gets all worked up and everyone is
engaging in group think to the point that they all act the same. We
don't all need to be of the same mind, and that is just allright if
we aren't. I have always enjoyed Babe's comments and I like Linda's
contributions and articles as well. I just think it would be usefull
if we all took it all down a notch FWIW.

I made a claim earlier that Bob had made some blunders in his
previous posts that I had overlooked. Given his decision to

criticize

others on this forum I thought I should at least show everyone
exactly where he has made some mistakes.

1) In message 74845 Bob states "He got the two dealt hands and THEN
posed the "what are the odds?" question. Jerome's point (and mine)
is that this makes absolutely no mathematical sense."

The fact is that math has nothing to do with whether the

information

derived from a mathematical calculation is useful or not. The math
for computing the odds of two consectutive events is PERFECT. It
seems Bob was trying to STRENGTHEN his argument by using the
term "mathematical sense". The only thing it accomplished, in my
opinion, was to show his lack of understanding.

2) In message 74815 Bob states "Doing these after-the-fact
calculations is meaningless. Last night I was dealt the 2h 3s 8h Jd
Kc (a 1-in-2,598,960 shot)".

The whole idea behind the thread was discussing the liklihood of
unusal hand TYPES occuring, not specific cards as Bob listed.
Essentially, his was and apples and oranges comparison. I have no
idea why he choose to reply to these posts unless he somehow

thought

the posters were stupid and he needed to educate them. If that were
the case he should have at least kept with the theme and listed

hand

types (two unsuited high cards in his example). Not only that, I
think understanding the mathematics behind VP is

never "meaningless".

Any effort put forth that increases a players overall knowledge is

a

···

--- In vpFREE@yahoogroups.com, "mroejacks" <rgmustain@...> wrote:

good thing.

Dick

For the hell-o-it I though I'd go through Paymar's Precision Play
rules, page 43 of the revised edition, 1998:

Rule 1: 5SF>4RF>2P
Rule 2: 5SF>4RF>PAT>4SF>HP
Rule 3: 3RF & 4FL & KQJT >LP
Rule 4: 3RF > 4FL & 4STo
Rule 5: 4FL>4STo, therefore: 3RF>4FL>KQJT>LP
Rule 6: 3SF<4STo, except 1H>3SFdi0H
Rule 7: QJs>AKQJ
Rule 8: 2RF2H>3H
Rule 9: 4STi3H>3H
Rule 10: 3H>2H>1H, except discard A in AHH (only possible 3H is KQJ)
Rule 11: JTs>QTs>1H, hold KTs only if no flush penalty

The rules are hierarchical, so putting it all together:
5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SFnotdi0H>QJs>AKQJ>2RF2H>4STi3H>KQJ>
2H>JTs>QTs>1H>3SFdi0H

FVP yields: 99.531853%

page 44 of Paymar says "...this strategy will yield 99.53% long-term
payback. That's less than .02% short of computer-perfect. ...this
strategy will yield the highest per-hour expected win rate for most
players."

···

--- In vpFREE@yahoogroups.com, "Bob Dancer" <bob.dancer@...> wrote:

Night wrote: I think this is Paymar's strategy:

5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SF0>AKQJ>2RF2H>4STi3H>3FS1>KQJ>
2H>2RF>1H>3SF2

FVP says 99.538064% var 19.57

Paymar has different strategies in his Precision Play rules and his
appendix in the back. The appendix strategy, which you summarize, is far
more accurate than his Precision Play rules. It is his Precision Play
rules that he claims Jazbo has "certified" as being within 0.01%.

Bob Dancer

For a 3-day free trial of Video Poker for Winners, the best video poker
computer trainer ever invented, go to //www.videopokerforwinners.com

-----Original Message-----
From: vpFREE@yahoogroups.com [mailto:vpF…@…com] On Behalf
Of nightoftheiguana2000
Sent: Friday, June 22, 2007 1:09 PM
To: vpFREE@yahoogroups.com
Subject: [vpFREE] Re: Bob Dancer Blunders

--- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@> wrote:
> Dan Paymar's JOB strategy makes numerous simplifications. Yet
> Paymar quotes jazbo as determining that the total cost is 0.01%.
> That's the kind of info that would help end this discussion.

wizard lists computer perfect at 99.543904%
http://wizardofodds.com/videopoker/tables/jacksorbetter.html

FVP can't do penalty cards so can't do Dancer type strategies.

vpFREE Links: http://members.cox.net/vpfree/Links.htm

Yahoo! Groups Links

This is my calm temperment. I have nothing to be upset about. I think
you are reading something into my posts that is not there.

Dick

···

--- In vpFREE@yahoogroups.com, "markhaslem" <markhaslem@...> wrote:

Well Mroejacks you have certainly been articulate in making Linda
Boyd's case and have done so at great length, and with many
postings. That has kept this whirlwind alive just when we thought it
was going to die out when Linda said she wouldn't say anything else
on the topic. Still I want to take you to task for something that I
am also going to also fault Linda Boyd for as well and that is for
not having a calm temperment.

Thank you for doing this, NOTG. This confirms the Paymar/jazbo
figure. (I consider 0.012% close enough to 0.01%!)

This should put an end to any discussion about just how accurate
Paymar's JOB Precision Play strategy is.

--Dunbar

--- In vpFREE@yahoogroups.com, "nightoftheiguana2000"
<nightoftheiguana2000@...> wrote:

For the hell-o-it I though I'd go through Paymar's Precision Play
rules, page 43 of the revised edition, 1998:

Rule 1: 5SF>4RF>2P
Rule 2: 5SF>4RF>PAT>4SF>HP
Rule 3: 3RF & 4FL & KQJT >LP
Rule 4: 3RF > 4FL & 4STo
Rule 5: 4FL>4STo, therefore: 3RF>4FL>KQJT>LP
Rule 6: 3SF<4STo, except 1H>3SFdi0H
Rule 7: QJs>AKQJ
Rule 8: 2RF2H>3H
Rule 9: 4STi3H>3H
Rule 10: 3H>2H>1H, except discard A in AHH (only possible 3H is KQJ)
Rule 11: JTs>QTs>1H, hold KTs only if no flush penalty

The rules are hierarchical, so putting it all together:

5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SFnotdi0H>QJs>AKQJ>2RF2H>4STi
3H>KQJ>

2H>JTs>QTs>1H>3SFdi0H

FVP yields: 99.531853%

page 44 of Paymar says "...this strategy will yield 99.53% long-term
payback. That's less than .02% short of computer-perfect. ...this
strategy will yield the highest per-hour expected win rate for most
players."

>
> Night wrote: I think this is Paymar's strategy:
>
>

5SF>4RF>PAT>4SF>HP>3RF>4FL>KQJT>LP>4STo>3SF0>AKQJ>2RF2H>4STi3H>3FS1>KQ

> 2H>2RF>1H>3SF2
>
> FVP says 99.538064% var 19.57
>
>
> Paymar has different strategies in his Precision Play rules and

his

> appendix in the back. The appendix strategy, which you summarize,

is far

> more accurate than his Precision Play rules. It is his Precision

Play

> rules that he claims Jazbo has "certified" as being within 0.01%.
>
> Bob Dancer
>
> For a 3-day free trial of Video Poker for Winners, the best

video poker

> computer trainer ever invented, go

to //www.videopokerforwinners.com

>
> From: vpFREE@yahoogroups.com [mailto:vpF…@…com] On

Behalf

> Of nightoftheiguana2000
> Sent: Friday, June 22, 2007 1:09 PM
> To: vpFREE@yahoogroups.com
> Subject: [vpFREE] Re: Bob Dancer Blunders
>
>
> > Dan Paymar's JOB strategy makes numerous simplifications. Yet
> > Paymar quotes jazbo as determining that the total cost is

0.01%.

···

--- In vpFREE@yahoogroups.com, "Bob Dancer" <bob.dancer@> wrote:
> -----Original Message-----
> --- In vpFREE@yahoogroups.com, "dunbar_dra" <h_dunbar@> wrote:
> > That's the kind of info that would help end this discussion.
>
>
> wizard lists computer perfect at 99.543904%
> http://wizardofodds.com/videopoker/tables/jacksorbetter.html
>
> FVP can't do penalty cards so can't do Dancer type strategies.
>
>
>
> vpFREE Links: http://members.cox.net/vpfree/Links.htm
>
>
> Yahoo! Groups Links
>