Given the odds of 1 in 10 million, I'm confident that not only am I free of this condition, but no one I've ever met has it either. I'm not even going to take a typing test to prove that I still type at 70wpm (which may be possible to do with one hand, but I don't think anyone could learn it without being conscious of having done so). I will reevaluate this conclusion if a doctor (or anyone, really) tells me they think my left arm is paralyzed.
EDIT: As for an exact number, I am > 99% confident about this, which is high enough that it is not worth it to calculate a better estimate.
Followup to: The Strangest Thing An AI Could Tell You
Brain damage patients with anosognosia are incapable of considering, noticing, admitting, or realizing even after being argued with, that their left arm, left leg, or left side of the body, is paralyzed. Again I'll quote Yvain's summary:
A brief search didn't turn up a base-rate frequency in the population for left-arm paralysis with anosognosia, but let's say the base rate is 1 in 10,000,000 individuals (so around 670 individuals worldwide).
Supposing this to be the prior, what is your estimated probability that your left arm is currently paralyzed?
Added: This interests me because it seems to be a special case of the same general issue discussed in The Modesty Argument and Robin's reply Sleepy Fools - when pathological minds roughly similar to yours update based on fabricated evidence to conclude they are not pathological, under what circumstances can you update on different-seeming evidence to conclude that you are not pathological?