Winning the in-game Happy Lucky Lottery isn't actually based on luck at all, but on the date from when you bought the ticket based off of the GameCube's internal clock. The prizes are as follow: 4th prize is anywhere between 4 to 10 days, 3rd prize is 25 to 35 days, 2nd prize is 85 to 115 days, and 1st prize is 335 to 395 days. If you change the system's clock to a day prior and went back to talk to Lucky who runs the lottery, he'll know that the internal clock has been messed with. You can either admit to it or lie to not having tampered with it, however you'll need to pay 500 coins in order to reset the lottery, regardless. Daylight savings is not put into account. Buying a new ticket won't actually increase your chances of winning either but will instead reset the days back to 0 from when you bought it.