Answer
$\frac{24}{625}$
Work Step by Step
The total number of possible selections is $5^5=3125$, while the number of selections where all $5$ are different is $5\cdot4\cdot3\cdot2\cdot1=120$. (We cannot select beverages that were already selected). Thus the probability is: $\frac{120}{3125}=\frac{24}{625}$