Bob wrote:
"Nobody knows how to measure exactly how much luck or skill was present at any particular time. But I believe the overall concept that luck is dominant in the short run and skill is dominant in the long run is accurate. We just can't quantify it."
Like many things in life, it's been quantified.
The ratio of luck to skill is:
sqrt(variance x hands) / (edge x hands)
At one hand, luck is dominant, by the ratio of sqrt(variance)/edge. At N0 (variance/edge^2) hands, skill and luck are equal, in other words N0 is the crossover. At 4 times N0 hands, skill dominates luck by 2 to 1. At 9 times N0 hands, skill dominates luck by 3 to 1. At 16 times N0 hands, skill dominates luck by 4 to 1. ...
If you precisely know your edge and variance, then you precisely know your N0.
http://en.wikipedia.org/wiki/Quantitative_analyst
···
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Adventure at the Tropicana --- Part II of II
http://www.casinogaming.com/columnists/dancer/2010/0511.html
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http://www.casinogaming.com/columnists/dancer/2010/0511.html</a>
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