Answer
$\frac{1}{7059052}$
Work Step by Step
Because the order is not important, we can use the combination rule to determine the number of possibilities: $\frac{44!}{(44-6)!6}=7059052$.
We also know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, therefore $P=\frac{1}{7059052}$.