Kevin comments on Verifying Rationality via RationalPoker.com - Less Wrong
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Statistical luck is definitely real but ontological luck isn't. Most poker players don't know the difference. I am nearly positive that I have had above average luck since I started playing regularly again in December (and I have the data recorded for me to actually calculate it, but doesn't seem worth it to figure it out if my software doesn't do it automatically).
As an example, since you replied to my comment, I rode a <1/1000 wave of luck to 5th place in a poker tournament, for a $540 win.
Wanna bet? ;P