It depends on whether people wake up to the threat before or after there is a robot army that can crush them, doesn't it? If humans are economically and militarily useless, it won't matter what they choose.

In the immortal words of Scott Alexander [1],

> I used to think that the alternative medicine people were overestimating how evil Big Pharma was. But now I know that’s not right.

> Now I know they’re underestimating it.

> If it were discovered tomorrow that potatoes cured cancer, then people wouldn’t “suppress” this “natural” remedy. Two years from now there would be an ultrapurified potato extract called POTAXOR™®© that was, on closer examination, physically and chemically identical to mashed potatoes. But these mashed potatoes would be mashed in a giant centrifuge by scientists with five Ph. Ds each. Any time someone got cancer, their doctor would prescribe POTAXOR™®© and charge $6,000 per dose, and the patient would get better, and the thought of just going out and eating a potato would never occur to anybody. Not to the doctor, who doesn’t want to sound like the idiot who tells her cancer patients to eat potatoes. Not to the FDA, who doesn’t know whether potatoes might be contaminated with lead or potato fungus or ketchup or God-knows-what. And certainly not to the patient. They would have to pay 60 cents for a potato at the supermarket, but if they have a good enough insurance the POTAXOR™®© is free!

> This system, bizarre as it is, is your guarantee against the pharmaceutical companies suppressing a promising new natural medication. Your insurance company pays $300 on fish oil, and in exchange you go to sleep at night secure that no one has discovered that potatoes cure cancer but decided to cover it up to protect their bottom line. Good deal? Given the current health system, it’s better than you had any right to expect.

Potatoes aren't on Schedule 1; that makes this situation suck a little more. But probably the alternative scenario is just the treatment remaining illegal forever.

[1] https://slatestarcodex.com/2014/06/15/fish-now-by-prescripti...

I think this is reasonably precise. "Uniformly" means that all points within the unit circle are equally likely. You can sample this distribution by picking independent rectangular coordinates and rejecting points outside the unit circle. I'm sure you can sample it in polar space by using an appropriate nonuniform distribution for radius (because a uniform radius would not result in a uniform distribution over points in the unit circle). If you want to sample directly in some really weird parameterization I guess markov chain monte carlo methods are available.

The article currently says

> Three points are chosen independently and uniformly at random from the interior of a unit circle

Has it been edited in the last 15 minutes to address your objection or something?

I'm not sure Newton deserves shade for working on transmutation. The reason chemical reactions can't turn lead into gold was totally unknown at the time.