Only two moving companies provide local delivery service in a small western city, United and North American. United operates 20 percent of the trucks, North American the remaining 80 percent. On a dark and rainy night, a pedestrian is run over and killed by a moving van. The lone witness to the incident testifies that the van was owned by United. An independent laboratory hired by the court finds that under dark and rainy conditions, the witness is able to identify the owner of the moving van with 90 percent accuracy.
What is the probability that the van that struck the pedestrian was owned by United?