What I'm about to tell you is absolute fact, whether or not it is controversial. There are several points to realize:
-All numbers are equally likely to hit, so no combination of numbers is more probable to win.
-If you want to play, your best play is to take a "quick pick," or other randomly selected set of numbers. This does NOT increase your chances of winning, but it is still the better play. It's the better play because it minimizes the chances that many other people will choose the same numbers as you. Remember, if you win, you will have to split the prize if several other people pick the same numbers.
-No matter how you play, you will always face negative money expectation on your bet, unless the progressively growing jackpot becomes astronomically large (such as a recent $300+million prize.
-For most lottery players, the fact that you face negative money odds is not anything to worry about, since we're talking about a negative expectation of less than a dollar, and pretty much anyone can afford a dollar's worth of entertainment.
-There's also the psychological factor of relative value. You are trading an insubstantial amount of money for an insubstantial chance to win an very very substantial amount of money. You're also getting the thrill that comes from playing.
-You probably shouldn't go crazy and buy hundreds of dollars worth of tickets.