I don't like the offer to define the terms subjectively; It's what we call in golf a "sucker pin," so I'm sticking with accepted definitions.
luck: chance; good fortune; success due to chanceLuck involves chance. Period. If chance can be put in objective terms (which is what oddsmakers do), then it's possible to manage chance. There's a chance that the dollar may devalue in the next thirty days, so if I'm in a position where my investments are at risk, I can hedge that risk by buying Euros. There's a chance my quarteback might get hurt, so I can have a backup ready to play. If the odds are against me in blackjack, I hold back and save my big bets for more favorable hands. Depending on chance is to presume that a favorable outcome will occur every time, even if it is statistically unlikely, even highly improbable. This doesn't make sense, even if it's possible for me to win on a longshot gamble from time to time.
lucky: having good luck; bringing good luck
good: having desired qualities; morally excellent, virtuous; kind; beneficial; thorough; considerable; efficient, competent; reliable; orthodox and devout