JoshuaZ comments on Harry Potter and the Methods of Rationality discussion thread, part 21, chapters 91 & 92 - Less Wrong
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Chapter 79:
I'm having to update my probability that HPMOR!Trelawney is actually good at her job.
Not really. if she says the same thing each time it shouldn't be surprising that a rare hit occurs. It seems heavily implied that Dumbledore keeps her around (both in canon and in HPMOR) because she occasionally emits a genuine prophecy.
Ah, but consider how rarely students die at Hogwarts: we're at a 50-year gap between Myrtle and Hermione. If Trelawney told every student this year that they were going to die, but not the other years, then actually she's remarkably accurate.
Sure, do we have any reason to think she's only done it this year?
Possibly. Since Fred and George thought it would have been a good deal scarier "if she hadn't said the same thing to every single other student in their Divination class" rather than "if she hadn't said the same thing every year/week/day," its weakly implied that this is the first time she's make this prediction.
edit: although "every single other student in their Divination class" is somewhat ambiguous and could mean that over the course of the semester she has made this prediction for everyone at different times.
Then again, after SPHEW, everyone in the school "knows" Hermione.
In canon, at least, she did that sort of thing every year. That only means so much here, of course.