Exactly, it depends on luck that is why it can never be considered an investment.
Winning a single lottery will of course give you a huge profit but the question remains, will you ever win one?
...and if you ever win one, what do you plan to do with it? Here in the Philippines, the Philippine Charity Sweepstakes are handing down on a weekly basis winners of their daily draw and yet we haven't seen a lot of new millionaires around. I read a lot of stories about lottery winners who after a few months winning the lottery, they are again falling in line to buy a ticket. That only means they don't know money management.
Financial management is very important. There are so many people who have acquired wealth only to end up burning them in the end. There are so many ways to waste a jackpot in lottery amounting to millions. Wrong investments is one. And there is also the tendency to give here and there, buy this and that, start a business which you are not really familiar with, etc.