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

0.8333%

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=(1)/((5!)/((5-5)!))=(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.