This is one of the best combinations of pure luck, resource management, and reflex testing I've seen so far; it's less about pure numbers and more about making snap decisions about using up your limited chances. Having tilt be gained by touching new pins is a great way to encourage mixing up release points. I also like that the bonus zones force the player to evaluate the sum mathematically before making a decision; it adds another layer of concentration to the mix.
The graphics are really nice; the buttery-smooth dice animation is mesmerizing, and the main character is quite cute! The backing song is pleasant and cheerful, and the sound effects do a great job telegraphing the action.
I managed to beat it in 10 rounds, but I was hooked. I knew I could do better if I concentrated and got a bit luckier, so I kept trying a few more times.

I got two lucky sevens in this run.
Fantastic! Great work!