Oregon will draw names at random on June 28. Author: Pat Dooris Updated: 6:35 PM PDT May 24, 2021 PORTLAND, Oregon — In the rolling hills of Wasco, Sherman and Gilliam counties, the population is sparse and the number of folks who have received COVID-19 shots are among the lowest in Oregon. The odds look pretty good for the one vaccinated person who will be picked at random in the counties for a $10,000 prize under the state’s new lottery promotion. In Gilliam County, 616 people are vaccinated as of Monday. That is not a typo. In Sherman county, 716 people have received a coronavirus vaccine shot.