Qiaochu_Yuan comments on Rationality Quotes January 2013 - Less Wrong
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Second statement assumes that the base rate of underdogs and overdogs is the same. In practice I would expect there to be far more underdogs than overdogs.
Good point. I was thinking of underdog and overdog as relative, binary terms -- in any contest, one of two dogs is the underdog, and the other is the overdog. If that's not the case, we can expect to see underdogs beating other underdogs, for instance, or an overdog being up against ten underdogs and losing to one of them.