William_Quixote comments on Harry Potter and the Methods of Rationality discussion thread, part 21, chapters 91 & 92 - Less Wrong Discussion
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Chapter 79:
I'm having to update my probability that HPMOR!Trelawney is actually good at her job.
If everyone in the class knows Hermione (which is likely for a loose definition of 'knows' since everyone has probably heard of her either through SPHEW or as General Sunshine, as her being called up at lunch to receive an award) then telling that to everyone in the class may not include even a single miss. Which makes Professor Trelawney very accurate indeed.