What would be the function for calculating the probability of at least one success of $n$ $10$-sided dice thrown, if success is $9$ or $10$, but $1$ is counted as negative success (or failure).
In other words: what is the probability of getting more $9$'s and $10$'s then $1$'s out of $n$ throws with at least one $9$ or $10$ in the pool.