"The7thWarrior" wrote:
> Mathematically, the more lines you play the higher the variance.
> Mostly due to the fact that your result is based on the dealt hand.
Actually, just the opposite is true. You seem to be equating variance
with bankroll fluctuations. They are not the same. Bankroll fluctuations
are measured in dollars, while variance, like expected value, is a
unitless number. Bankroll fluctuations are a result of the variance
multiplied by the bet size.
Although betting more line will increase your bankroll fluctuations
simply because you're making bigger bets, the multiple draws to the same
dealt hand means that the average outcome will tend to be closer to the
expected value of the play; thus lower variance.
This is more intuitive if we compare situations with the total bet size.
For example, the variance (and the bankroll fluctuations) will be
smaller on a 10-play $1 machine than for the same payoff table on a
single line $10 machine.
--
Dan Paymar, Developer of Optimum Video Poker
Analyzer/Trainer for Windows, Mac, Linux
Web site atwww.OptimumPlay.com
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