First, I want to congratulate Bob on being the first to come out
with a commercial product that does multi-line RoR. I haven't seen
it yet, but I'm sure "Video Poker for Winners" is going to be an
important contribution to the VP community.
I'd like to correct a couple of things Bob wrote in his column:
"If you play 25¢ 9/6 Jacks or Better video poker with a 1% slot club
and are willing to take a 10% chance of going broke, Dunbar says you
need a bankroll of $4,550. (Dunbar rounds all of his bankroll
figures to the nearest $10.) "
I round those numbers UP to the nearest $50, not $10:
% RoR Bankroll
25% 2,750
20% 3,200
15% 3,750
10% 4,550
5% 5,900
2% 7,750
1% 9,100
0.5% 10,450
0.1% 13,650
0.01% 18,150
"In December of this year, a new video poker software program called
Video Poker for Winners will become available. VPW also has a risk
of ruin calculator, and the figure it comes up with for the game in
question is $4,534. The difference in the numbers is likely due both
to the number of significant digits maintained in the calculation,
and the amount of rounding done. I'm assuming the VPW figure is more
accurate, but for practical purposes, they are identical."
I don't think the VPW figure is more accurate than my DRA-VP
figure. My raw number is $4,534.69. This is rounded up to $4,550
in my main table of RoR/Bankroll. So it is completely consistent
with Bob's value.
The amount of rounding one uses is a bit arbitrary. For the 25c
game in the example Bob used, it could be argued that bankroll
figures should be given to the nearest 25c. Thus, the actual
bankroll for the game would be $4,534.75. (according to my
program).
I chose to round UP by $50 for 2 reasons: (1) I felt it was easier
to look at and remember the bankroll values that way, and (2) it's a
little safer to round on the UP side.
There IS a place on my sheet where bankroll figures are rounded up
to the nearest $10. That's over on the left, where it says "Specify
a longterm RoR". If you put in 10% RoR, the bankroll that comes up
is $4,540, not $4,550. (Further, if you put $4,550 into the "Test a
bankroll", it comes up 9.9%, not 10%.) In each case, there is no
inconsistency Bob's figure. As Bob noted, for practical purposes,
all these figures are identical.
Bob's comments make it clear, however, that I should have spelled
out what kind of rounding was being done.
I don't mean for any of this to detract from what Bob has apparently
accomplished with his new product--breaking through the multi-line
RoR barrier is a valuable contribution!
--Dunbar
--- In vpFREE@yahoogroups.com, "vpFae6128305" <vpfae6128305@...>
wrote:
···
Figuring Risk of Ruin for MultiHand Games
http://tinyurl.com/y75kfw
<a href="http://tinyurl.com/y75kfw">
http://tinyurl.com/y75kfw</a>
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