Interesting concept, but it feels like a distillation of the "insanity" difficulty mode of a roguelike where the only way to get a high (or low) score is to win the lottery. Repeatedly.

I'd echo liquidise's comment; some limited ability to rotate the pieces would add strategy instead of just spamming the reroll button and pattern-matching. The frequency that you're allowed to use the ability could serve as a difficulty slider.

It doesn't even take that much interactivity to make a mostly RNG-based game more fun; compare a basic slot machine to video poker.