Answer
$\frac{1}{362880}$
Work Step by Step
There are 9 possible batters, so by using the factorian rule we can get the number of possibilities: $9!=9\times8\times7\times6\times5\times4\times3\times2\times1=362880$. We also know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, therefore $P=\frac{1}{362880}$.
