Question

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answer 1

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:

$P=\frac{1}{\frac{5!}{(5-5)!}}=\frac{1}{5*4*3*2*1}\\ P=0.008333=0.8333\%$

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.