But nevertheless. Yes, the lottery is a tax for the poor. And if you expect your life to change for the better by winning a big bag of money (that you will have taken to the other suckers who lost, minus the organiser's fee), then you just need to reconsider what makes a happy life. You should also consider how many people get isolated after they have won, not knowing how to deal with such a change, such a "responsibility", such a social pressure from family and friends after they have won.
I'd never play the lottery not because of the ridiculously low chances of winning (I also am a statistician), but because what I would win would change nothing to my human condition. I prefer reading Epictetus instead. It's cheaper and the effect lasts longer.