Answer:
0.8333%
Step-by-step explanation:
Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:
[tex]P=\frac{1}{\frac{5!}{(5-5)!}}=\frac{1}{5*4*3*2*1}\\ P=0.008333=0.8333\%[/tex]
There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.