Well, aren't they though, technically?
Your $1 lottery coupon has extremely low chances of winning a million dollars, but they aren't zero. No one will sell you any stocks for $1, but even if they did what is a chance of a random $1 stock increasing in value one million times?
Expected return on a total market fund is 9 to 10% annually. Expected return on a lottery ticket is 30 to 50 cents on the dollar.
Just like AI p(Doom) in the next decade is approximately zero, but we all have to pretend to it's between 1 and 10% so American frontier labs can implement regulatory capture.
So if what you're saying is you are willing to bet $1 if I give you a 1 in 1 billion chance of winning $1M, I will take that bet. And I will take that bet as many times as you'd like.
But your best chance of winning $1M? Start with $10M.
> No one will sell you any stocks for $1,
You have been able to buy mutual funds in dollar increments for like forever, with the significant caveat that there's often a minimum purchase amount, but once you hold that you can add in single dollars if you want +/- they only deal in a certain number of decimals.
Fractional share trading of stocks and ETFs happens at a lot of brokers for the past several years, too. Do they really want you to buy $1 of BRK.A? probably not, but you probably can.
Also, there's like penny stocks. :P
But yeah, there's no mechanism for that $1 to turn into millions of dollars within a few days. It can happen with a very well timed purchase, many decades, and some inflation, but that's not very exciting.