How is it possible that no matter how many lottery tickets you buy, your chances of winning are still the same/do not increase?

Today on the Today Show, they were talking about how the Powerball jackpot is over 400 million dollars. They were talking about how your odds of winning are so minute, your chances of becoming President or getting hit by lightning are greater. They said even if you buy $500 worth of tickets, your odds will not increase.

How is that possible, that whether you buy one ticket or five hundred tickets, your odds are still the same? The anchor people were saying “yes, we know that that’s the way statistics work.”

Full disclosure: I’m not arguing for buying a lot of lottery tickets. If I spend $20 per year total on lottery, that’s a lot. I may buy five dollars worth about two or three times a year if there’s a big jackpot. Otherwise, never. I consider it a waste of money. I’m just curious how statistically, what they said on the show can be possible.