Question: Since Clark, Washoe, Douglas, Carson City, and Lincoln are counties in Nevada where prostitution is illegal, all other counties in Nevada are what type of county?

Context paragraphs:
Carson Nugget: Carson Nugget is a hotel and casino located in Carson City, Nevada.  Richard Graves opened the Carson City Nugget casino on March 1, 1954 and opened a second one in Sparks, Nevada on March 17, 1955.  At that time the casinos were known as the Carson City Nugget and the Sparks Nugget.  The Carson City Nugget was one of Nevada's largest and most prosperous casinos when Graves sold it to Richard E. Pogue and Chester H. Armstrong in September 1956.  Graves kept the Sparks Nugget.  After Pogue died, the Carson City Nugget was sold to a group of six purchasers for $525,000 in December 1958.  The group including three Adams brothers who would manage the casino.  The Adams family still runs the Carson Nugget.  The casino and restaurants occupy nearly 30000 sqft and an 80-room hotel is located across North Carson Street.

Prostitution in the United States: Prostitution is illegal in the vast majority of the United States as a result of state laws rather than federal laws.  It is, however, legal in some rural counties within the state of Nevada.  Prostitution nevertheless occurs throughout the entire country.

Carson River: The Carson River is a northwestern Nevada river that empties into the Carson Sink, an endorheic basin.  The main stem of the river is 131 mi long although addition of the East Fork makes the total length 205 mi , traversing five counties: Alpine County in California and Douglas, Storey, Lyon, and Churchill Counties in Nevada, as well as the Consolidated Municipality of Carson City, Nevada.  The river is named for Kit Carson, who guided John C. Frémont's expedition westward up the Carson Valley and across Carson Pass in winter, 1844.

Nevada's 2nd congressional district: Nevada's 2nd congressional district is a congressional district that includes the northern third of the state.  It includes most of Lyon County, all of Churchill, Douglas, Elko, Eureka, Humboldt, Lander, Pershing, Storey, and Washoe counties, as well as the state capital, Carson City.  The largest city in the district is Reno, the state's third largest city.  Although the district appears rural, its politics are dominated by Reno and Carson City.

Carson City, Nevada: Carson City, officially the Consolidated Municipality of Carson City, is an independent city and the capital of the US state of Nevada, named after the mountain man Kit Carson.  As of the 2010 census, the population was 55,274.  The majority of the population of the town lives in Eagle Valley, on the eastern edge of the Carson Range, a branch of the Sierra Nevada, about 30 mi south of Reno.  The town originated as a stopover for California bound emigrants, but developed into a city with the Comstock Lode, a silver strike in the mountains to the northeast.  The city has served as the capital of Nevada since statehood in 1864 and for much of its history was a hub for the Virginia and Truckee Railroad, although the tracks were removed in the 1950s.  Prior to 1969, Carson City was the county seat of Ormsby County.  In 1969, the county was abolished, and its territory merged with Carson City to form the Consolidated Municipality of Carson City.  With the consolidation, the city limits today extend west across the Sierra Nevada to the California state line in the middle of Lake Tahoe.  Like other independent cities in the United States, it is treated as a county-equivalent for census purposes.

New Washoe City, Nevada: New Washoe City is an unincorporated community located in Washoe County, Nevada, United States.  It is located in the Washoe Valley in southern Washoe County between Reno and Carson City, on the east side of Washoe Lake.  It is part of the Reno–Sparks Metropolitan Statistical Area.  As of the 1990 census, New Washoe City had a population of 2,875.  The area was not listed as a census-designated place (CDP) at the 2000 census but was listed as "Washoe Valley, Nevada", for the 2010 census, at which time it had a population of 3,019.

Mound House, Nevada: Mound House, Nevada is a small unincorporated community in Lyon County, Nevada on U.S. Route 50 that is situated between Nevada's capital, Carson City, and Dayton, Nevada.  Its elevation is 4,974 feet (1,516 m).  It is in Lyon County, one of eight Nevada counties that allow for legalized prostitution, and is home to four brothels.

List of counties in Nevada: There are sixteen counties and one independent city in the U.S. state of Nevada.  On November 25, 1861, the first Nevada Territorial Legislature established nine counties.  Nevada was admitted to the Union on October 31, 1864 with eleven counties.  In 1969, Ormsby County and Carson City were consolidated into a single municipal government known as Carson City.

Prostitution in Nevada: The state of Nevada is the only jurisdiction in the United States where prostitution is permitted.  Strictly regulated brothels operate legally in isolated rural areas, away from the majority of Nevada's population.  Prostitution is illegal in the following counties: Clark (which contains Las Vegas), Washoe (which contains Reno), Douglas, and Lincoln.  Prostitution is also illegal in Nevada's capital, Carson City, an independent city.  The rest of Nevada's counties are permitted by state law to license brothels, but only 8 counties have done so.  As of August 2013, there are 19 brothels in Nevada.

Washoe Valley, Nevada: Washoe Valley is a census-designated place (CDP) in Washoe County, Nevada, United States.  It corresponds closely to the unincorporated community of New Washoe City.  The population was 3,019 at the 2010 census.  It is part of the Reno–Sparks Metropolitan Statistical Area.  The CDP takes its name from the Washoe Valley, a region between Reno and Carson City centered on Washoe Lake.

Supporting paragraphs: Prostitution in the United States Prostitution in Nevada
Answer: rural