Another way to think about it is if everyone outside of Merrimack, New Hampshire who bought a lottery ticket agreed to give the winnings to you (but only for the big jackpot, not any of the smaller ones), out of those hundreds of millions of tickets sold you still would have lost. You have a better chance of dying in an accident on the way to or back from the store to buy your ticket than you do of winning. But as they say, you can’t win if you don’t play so congratulations to the winner.
But if you don’t have a ticket you chances of winning are zero.