[vpFREE] Re: Denomination vs Variance vs Gains/Losses

--- In vpFREE@yahoogroups.com, "Nathan O. Roemer" <public@...> wrote:
>
> With any given bankroll, what are your thoughts on playing higher
> denominations on lower variance games? For example, given
bankroll X, play
> $0.50 DDB, but switch to BP if you move up to $1. Is there any
validity to
> this?

(I'm reposting this with a better explanation of the table)

If you mean can you get similar fluctuation by adjusting
denomination and variance, then the answer is yes.

Here is a comparison of 50c DDB with $1 BP for 2000 hands (5 hours
of 400 hands/hr or 4 hrs of 500 hands/hr), starting with a $1000
bankroll:
(using Dunbar's Risk Analyzer for Video Poker)

% CHANGE, 50c DDB, $1 BP
lose 100%, 4%, 10%
lose 80% to 99%, 6%, 5%
lose 60% to 80%, 12%, 11%
lose 40% to 60%, 15%, 15%
lose 20% to 40%, 15%, 15%
lose up to 20%, 13%, 13%
win up to 20%, 9%, 9%
win 20% to 40%, 7%, 7%
win 40% to 60%, 5%, 4%
win 60% to 80%, 3%, 3%
win 80% to 99+%, 2%, 2%
double or more, 9%, 6%

Each line of the table shows a possible result followed by how
likely that result is in each of the games. For example, the 3rd
line says that the chance of losing 60% to 80% of your $1000
bankroll is 12% in 50c DDB and 11% in $1 BP.

The distribution of results is pretty similar for the two games
except for the extremes. You have a bigger chance of going broke
with $1 BP as well as a smaller chance of doubling up. In this case,
the difference in variance doesn't compensate for the higher
denomination and the lower ev of $1 BP.

The above assumes no tips or cashback, either of which could affect
the comparison slightly.

--Dunbar

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