grenv: Just checked my plakoto games from 2009. It's 10 cases of identical first rolls out of 27.

Another observation is that there are very few instances of both dice being different, e.g. 56, 43. I think the expected frequency of this would be 4 out of 9, but in the above sample it's only 5 out of 27. In playBunny's first sample, it is 0 out of 12. And in playBunny's second sample (the "reasonable" one), I count only 3 rolls out of 38 where both dice are apart.

Well... if I'm paranoid, at least I'm not the only one.