I always save the luck-based minigames for last, because there's no way to doublecheck that you've cleared them later on in the game. I tend to forget which Heart Pieces or items I've picked up along the way. But yes, it's extremely satisfying to clear them on the first go! Less time wasted, fewer rupees spent, too!

There's the one luck-based game in the Village of Outcasts in ALttP where you pay thirty rupees, and you can open two treasure chests. I started the game and got the Heart Piece on the first chest! Ah, but I could open another chest. I opened the one right next to it; didn't really care, because I'd already gotten what I'd come for, and I might as well, it's no loss to me, and got a hundred rupees. :D