Douglas County's unemployemt rate dropped slightly to 12.5 percent for June, according to figures released by the Nevada's Department of Employment, Training and Rehabilitation. Close to 500 more Douglas County residents reported being employed in June. The total labor force is 22,270, up from 21,790 in May.Statewide, June showed no change in Nevada's unemployment rate, which held steady at a seasonally adjusted 11.6 percent. While not directly comparable to the state figure, the unemployment rate in each of the state's three metropolitan areas saw a slight seasonal increase, which is to be expected, said Bill Anderson, chief economist for Nevada's …